CBSE Class 12 Maths - MCQ and Online Tests - Unit 12 - Linear Programming

CBSE Class 12 Maths – MCQ and Online Tests – Unit 12 – Linear Programming

Every year CBSE conducts board exams for 12th standard. These exams are very competitive to all the students. So our website provides online tests for all the 12th subjects. These tests are also very effective and useful for those who preparing for competitive exams like NEET, JEE, CA etc. It can boost their preparation level and confidence level by attempting these chapter wise online tests.

These online tests are based on latest CBSE Class 12 syllabus. While attempting these our students can identify the weak lessons and continuously practice those lessons for attaining high marks. It also helps to revise the NCERT textbooks thoroughly.

 

CBSE Class 12 Maths – MCQ and Online Tests – Unit 12 – Linear Programming

Question 1.
The maximum value of Z = 4x + 2y subject to the constraints 2x + 3y ≤ 18, x + y ≥ 10, x, y ≤ 0 is
(a) 36
(b) 40
(c) 30
(d) None of these

Answer

Answer: (d) None of these

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Question 2.
In equation 3x – y ≥ 3 and 4x – 4y > 4
(a) Have solution for positive x and y
(b) Have no solution for positive x and y
(c) Have solution for all x
(d) Have solution for all y

Answer

Answer: (a) Have solution for positive x and y

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Question 3.
Maximize Z = 3x + 5y, subject to x + 4y ≤ 24, 3x + y ≤ 21, x + y ≤ 9, x ≥ 0, y ≥ 0
(a) 20 at (1, 0)
(b) 30 at (0, 6)
(c) 37 at (4, 5)
(d) 33 at (6, 3)

Answer

Answer: (c) 37 at (4, 5)

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Question 4.
The maximum value of Z = 3x + 4y subjected to contraints x + y ≤ 40, x + 2y ≤ 60, x ≥ 0 and y ≥ 0 is
(a) 120
(b) 140
(c) 100
(d) 160

Answer

Answer: (b) 140

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Question 5.
Maximize Z = 7x + 11y, subject to 3x + 5y ≤ 26, 5x + 3y ≤ 30, x ≥ 0, y ≥ 0
(a) 59 at (\(\frac{9}{2}\), \(\frac{5}{2}\))
(b) 42 at (6, 0)
(c) 49 at (7, 0)
(d) 57.2 at (0, 5.2)

Answer

Answer: (a) 59 at (\(\frac{9}{2}\), \(\frac{5}{2}\))

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Question 6.
Maximize Z = 11 x + 8y subject to x ≤ 4, y ≤ 6, x + y ≤ 6, x ≥ 0, y ≥ 0.
(a) 44 at (4, 2)
(b) 60 at (4, 2)
(c) 62 at (4, 0)
(d) 48 at (4, 2)

Answer

Answer: (b) 60 at (4, 2)

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Question 7.
Feasible region in the set of points which satisfy
(a) The objective functions
(b) Some the given constraints
(c) All of the given constraints
(d) None of these

Answer

Answer: (c) All of the given constraints

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Question 8.
A set of values of decision variables which satisfies the linear constraints and nn-negativity conditions of a L.P.P. is called its
(a) Unbounded solution
(b) Optimum solution
(c) Feasible solution
(d) None of these

Answer

Answer: (c) Feasible solution

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Question 9.
Maximize Z = 4x + 6y, subject to 3x + 2y ≤ 12, x + y ≥ 4, x, y ≥ 0
(a) 16 at (4, 0)
(b) 24 at (0, 4)
(c) 24 at (6, 0)
(d) 36 at (0, 6)

Answer

Answer: (d) 36 at (0, 6)

---

Question 10.
Maximize Z = 6x + 4y, subject to x ≤ 2, x + y ≤ 3, -2x + y ≤ 1, x ≥ 0, y ≥ 0
(a) 12 at (2, 0)
(b) \(\frac{140}{3}\) at (\(\frac{2}{3}\), \(\frac{1}{3}\))
(c) 16 at (2, 1)
(d) 4 at (0, 1)

Answer

Answer: (c) 16 at (2, 1)

---

Question 11.
Maximize Z = 10 x₁ + 25 x₂, subject to 0 ≤ x₁ ≤ 3, 0 ≤ x₂ ≤ 3, x₁ + x₂ ≤ 5
(a) 80 at (3, 2)
(b) 75 at (0, 3)
(c) 30 at (3, 0)
(d) 95 at (2, 3)

Answer

Answer: (d) 95 at (2, 3)

---

Question 12.
Z = 20x₁ + 20₂, subject to x₁ ≥ 0, x₂ ≥ 0, x₁ + 2x₂ ≥ 8, 3x₁ + 2x₂ ≥ 15, 5x₁ + 2x₂ ≥ 20. The minimum value of Z occurs at
(a) (8, 0)
(b) (\(\frac{5}{2}\), \(\frac{15}{4}\))
(c) (\(\frac{7}{2}\), \(\frac{9}{4}\))
(d) (0, 10)

Answer

Answer: (c) (\(\frac{7}{2}\), \(\frac{9}{4}\))

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Question 13.
Refer to Question 18 (Maximum value of Z+ Minimum value of Z) is equal to
(a) 13
(b) 1
(c) -13
(d) -17

Answer

Answer: (d) -17

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Question 14.
Z = 6x + 21 y, subject to x + 2y ≥ 3, x + 4y ≥ 4, 3x + y ≥ 3, x ≥ 0, y ≥ 0. The minimum value of Z occurs at
(a) (4, 0)
(b) (28, 8)
(c) (2, \(\frac{7}{2}\))
(d) (0, 3)

Answer

Answer: (c) (2, \(\frac{7}{2}\))

---

Question 15.
Of all the points of the feasible region for maximum or minimum of objective function the points
(a) Inside the feasible region
(b) At the boundary line of the feasible region
(c) Vertex point of the boundary of the feasible region
(d) None of these

Answer

Answer: (c) Vertex point of the boundary of the feasible region

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Question 16.
The corner point of the feasible region determined by the system of linear constraints are (0, 0), (0, 40), (20, 40), (60, 20), (60, 0). The objective function is Z = 4x + 3y.
Compare the quantity in Column A and Column B

Column A	Column B
Maximum of Z	325

(a) The quantity in column A is greater
(b) The quantity in column B is greater
(c) The two quantities are equal
(d) The relationship cannot be determined On the basis of the information supplied

Answer

Answer: (b) The quantity in column B is greater

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Question 17.
The maximum value of the object function Z = 5x + 10 y subject to the constraints x + 2y ≤ 120, x + y ≥ 60, x – 2y ≥ 0, x ≥ 0, y ≥ 0 is
(a) 300
(b) 600
(c) 400
(d) 800

Answer

Answer: (b) 600

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Question 18.
The feasible region for a LPP is shown shaded in the figure. Let Z = 3x – 4y be the objective function. Minimum of Z occurs at

(a) (0, 0)
(b) (0, 8)
(c) (5, 0)
(d) (4, 10)

Answer

Answer: (b) (0, 8)

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Question 19.
Objective function of a linear programming problem is
(a) a constraint
(b) function to be obtimized
(c) A relation between the variables
(d) None of these

Answer

Answer: (b) function to be obtimized

---

Question 20.
Refer to Question 18 maximum of Z occurs at
(a) (5, 0)
(b) (6, 5)
(c) (6, 8)
(d) (4, 10)

Answer

Answer: (a) (5, 0)

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CBSE Class 12 Maths - MCQ and Online Tests - Unit 11 - Three Dimensional Geometry

CBSE Class 12 Maths – MCQ and Online Tests – Unit 11 – Three Dimensional Geometry

Every year CBSE conducts board exams for 12th standard. These exams are very competitive to all the students. So our website provides online tests for all the 12th subjects. These tests are also very effective and useful for those who preparing for competitive exams like NEET, JEE, CA etc. It can boost their preparation level and confidence level by attempting these chapter wise online tests.

These online tests are based on latest CBSE Class 12 syllabus. While attempting these our students can identify the weak lessons and continuously practice those lessons for attaining high marks. It also helps to revise the NCERT textbooks thoroughly.

 

CBSE Class 12 Maths – MCQ and Online Tests – Unit 11 – Three Dimensional Geometry

Question 1.
The direction cosines of the y-axis are
(a) (6, 0, 0)
(b) (1, 0, 0)
(c) (0, 1, 0)
(d) (0, 0, 1)

Answer

Answer: (c) (0, 1, 0)

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Question 2.
The direction ratios of the line joining the points (x, y, z) and (x₂, y₂, z₁) are
(a) x₁ + x₂, y₁ + y₂, z₁ + z₂
(b) \(\sqrt{(x_1 – x_2)^2 + (y_1 – y_2)^2 + (z_1 + z_2)^2}\)
(c) \(\frac{x_1+x_2}{2}\), \(\frac{y_1+y_2}{2}\), \(\frac{z_1+z_2}{2}\)
(d) x₂ – x₁, y₂ – y₁, z₂ – z₁

Answer

Answer: (d) x₂ – x₁, y₂ – y₁, z₂ – z₁

---

Question 3.
The coordinates of the midpoints of the line segment joining the points (2, 3, 4) and (8, -3, 8) are
(a) (10, 0, 12)
(b) (5, 6, 0)
(c) (6, 5, 0)
(d) (5, 0, 6)

Answer

Answer: (d) (5, 0, 6)

---

Question 4.
If the planes a₁x + b, y + c, z + d₁ = 0 and a₂x + b, y + c₂z + d₂ = 0 are perpendicular to each other then
(a) \(\frac{a_1}{a_2}\) = \(\frac{b_1}{b_2}\) = \(\frac{c_1}{c_2}\)
(b) \(\frac{a_1}{a_2}\) + \(\frac{b_1}{b_2}\), \(\frac{c_1}{c_2}\)
(c) a₁a₂ + b₁b₂ + c₁c₂ = 0
(d) a\(_{1}^{2}\)a\(_{2}^{2}\) + b\(_{1}^{2}\)b\(_{2}^{2}\) + c\(_{1}^{2}\)c\(_{2}^{2}\) = 0

Answer

Answer: (c) a₁a₂ + b₁b₂ + c₁c₂ = 0

---

Question 5.
The distance of the plane 2x – 3y + 6z + 7 = 0 from the point (2, -3, -1) is
(a) 4
(b) 3
(c) 2
(d) \(\frac{1}{5}\)

Answer

Answer: (c) 2

---

Question 6.
The direction cosines of the normal to the plane 2x – 3y – 6z – 3 = 0 are
(a) \(\frac{2}{7}\), \(\frac{-3}{7}\), \(\frac{-6}{7}\)
(b) \(\frac{2}{7}\), \(\frac{3}{7}\), \(\frac{6}{7}\)
(c) \(\frac{-2}{7}\), \(\frac{-3}{7}\), \(\frac{-6}{7}\)
(d) None of these

Answer

Answer: (a) \(\frac{2}{7}\), \(\frac{-3}{7}\), \(\frac{-6}{7}\)

---

Question 7.
If 2x + 5y – 6z + 3 = 0 be the equation of the plane, then the equation of any plane parallel to the given plane is
(a) 3x + 5y – 6z + 3 = 0
(b) 2x – 5y – 6z + 3 = 0
(c) 2x + 5y – 6z + k = 0
(d) None of these

Answer

Answer: (c) 2x + 5y – 6z + k = 0

---

Question 8.
(2, – 3, – 1) 2x – 3y + 6z + 7 = 0
(a) 4
(b) 3
(c) 2
(d) \(\frac{1}{5}\)

Answer

Answer: (c) 2

---

Question 9.
The length of the ⊥^er from the point (0, – 1, 3) to the plane 2x + y – 2z + 1 = 0 is
(a) 0
(b) 2√3
(c) \(\frac{2}{3}\)
(d) 2

Answer

Answer: (d) 2

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Question 10.
The shortest distance between the lines \(\vec{r}\) = \(\vec{a}\) + k\(\vec{b}\) and r = \(\vec{a}\) + l\(\vec{c}\) is (\(\vec{b}\) and \(\vec{c}\) are non-collinear)
(a) 0
(b) |\(\vec{b}\).\(\vec{c}\)|
(c) \(\frac{|\vec{b}×\vec{c}|}{|\vec {a}|}\)
(d) \(\frac{|\vec{b}.\vec{c}|}{|\vec {a}|}\)

Answer

Answer: (a) 0

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Question 11.
The equation xy = 0 in three dimensional space is represented by
(a) a plane
(b) two plane are right angles
(c) a pair of parallel planes
(d) a pair of st. line

Answer

Answer: (b) two plane are right angles

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Question 12.
The direction cosines of any normal to the xy plane are
(a) 1, 0 ,0
(b) 0, 1, 0
(c) 1, 1, 0
(d) 1, 1, 0

Answer

Answer: (d) 1, 1, 0

---

Question 13.
How many lines through the origin in make equal angles with the coordinate axis?
(a) 1
(b) 4
(c) 8
(d) 2

Answer

Answer: (c) 8

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Question 14.
The direction cosines of the line joining (1, -1, 1) and (-1, 1, 1) are
(a) 2, -2, 0
(b) 1, -1, 0
(c) \(\frac{1}{√2}\), – \(\frac{1}{√2}\)
(d) None of these

Answer

Answer: (c) \(\frac{1}{√2}\), – \(\frac{1}{√2}\)

---

Question 15.
The equation x² – x – 2 = 0 in three dimensional space is represented by
(a) A pair of parallel planes
(b) A pair of straight lines
(c) A pair of perpendicular plane
(d) None of these

Answer

Answer: (a) A pair of parallel planes

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Question 16.
The distance of the point (-3, 4, 5) from the origin
(a) 50
(b) 5√2
(c) 6
(d) None of these

Answer

Answer: (b) 5√2

---

Question 17.
If a line makes angles Q₁, Q₂₁ and Q₃ respectively with the coordinate axis then the value of cos² Q₁ + cos² Q₂ + cos² Q₃
(a) 2
(b) 1
(c) 4
(d) \(\frac{3}{2}\)

Answer

Answer: (b) 1

---

Question 18.
The direction ratios of a line are 1,3,5 then its direction cosines are
(a) \(\frac{1}{\sqrt{35}}\), \(\frac{3}{\sqrt{35}}\), \(\frac{5}{\sqrt{35}}\)
(b) \(\frac{1}{9}\), \(\frac{1}{3}\), \(\frac{5}{9}\)
(c) \(\frac{5}{\sqrt{35}}\), \(\frac{3}{\sqrt{35}}\), \(\frac{1}{\sqrt{35}}\)
(d) None of these

Answer

Answer: (a) \(\frac{1}{\sqrt{35}}\), \(\frac{3}{\sqrt{35}}\), \(\frac{5}{\sqrt{35}}\)

---

Question 19.
The direction ratios of the normal to the plane 7x + 4y – 2z + 5 = 0 are
(a) 7, 4,-2
(b)7, 4, 5
(c) 7, 4, 2
(d) 4, -2, 5

Answer

Answer: (a) 7, 4,-2

---

Question 20.
The direction ratios of the line of intersection of the planes 3x + 2y – z = 5 and x – y + 2z = 3 are
(a) 3, 2, -1
(b) -3, 7, 5
(c) 1, -1, 2
(d) – 11, 4, -5

Answer

Answer: (b) -3, 7, 5

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Question 21.
The lines of intersection of the planes \(\vec{r}\)(3\(\hat{i}\) – \(\hat{j}\) + \(\hat{k}\)) = 1 and \(\vec{r}\)(\(\hat{i}\) +4\(\hat{j}\) – 2\(\hat{k}\)) = 2 is parallel to the vector
(a) 2\(\hat{i}\) + 7\(\hat{j}\) + 13\(\hat{k}\)
(b) -2\(\hat{i}\) + 7\(\hat{j}\) + 13\(\hat{k}\)
(c) 2\(\hat{i}\) – 7\(\hat{j}\) + 13\(\hat{i}\)
(b) -2\(\hat{i}\) – 7\(\hat{j}\) – 13\(\hat{k}\)

Answer

Answer: (b) -2\(\hat{i}\) + 7\(\hat{j}\) + 13\(\hat{k}\)

---

Question 22.
The equation of the plane through the origin and parallel to the plane 3x – 4y + 5z + 6 = 0
(a) 3x – 4y – 5z – 6 = 0
(b) 3x – 4y + 5z + 6 = 0
(c) 3x – 4y + 5z = 0
(d) 3x + 4y – 5z + 6 = 0

Answer

Answer: (c) 3x – 4y + 5z = 0

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Question 23.
The locus of xy + yz = 0 is
(a) A pair of st. lines
(b) A pair of parallel lines
(c) A pair of parallel planes
(d) A pair of perpendicular planes

Answer

Answer: (d) A pair of perpendicular planes

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Question 24.
The plane x + y = 0
(a) is parallel to z-axis
(b) is perpendicular to z-axis
(c) passes through z-axis
(d) None of these

Answer

Answer: (c) passes through z-axis

---

Question 25.
If α, β, γ are the angle which a half ray makes with the positive directions of the axis then sin²α + sin²β + sin²γ =
(a) 1
(b) 2
(c) 0
(d) -1

Answer

Answer: (b) 2

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Question 26.
If a line makes angles α, β, γ with the axis then cos 2α + cos 2β + cos 2γ =
(a) -2
(b) -1
(c) 1
(d) 2

Answer

Answer: (b) -1

---

Question 27.
The line x = 1, y = 2 is
(a) parallel to x-axis
(b) parallel to y-axis
(c) parallel to z-axis
(d) None of these

Answer

Answer: (c) parallel to z-axis

---

Question 28.
The points A (1, 1, 0), B(0, 1, 1), C(1, 0, 1) and D(\(\frac{2}{3}\), \(\frac{2}{3}\), \(\frac{2}{3}\))
(a) Coplanar
(b) Non-coplanar
(c) Vertices of a parallelogram
(d) None of these

Answer

Answer: (a) Coplanar

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Question 29.
The angle between the planes 2x – y + z = 6 and x + y + 2z = 7 is
(a) \(\frac{π}{4}\)
(b) \(\frac{π}{6}\)
(c) \(\frac{π}{3}\)
(d) \(\frac{π}{2}\)

Answer

Answer: (c) \(\frac{π}{3}\)

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Question 30.
The distance of the points (2, 1, -1) from the plane x- 2y + 4z – 9 is
(a) \(\frac{\sqrt{31}}{21}\)
(b) \(\frac{13}{21}\)
(c) \(\frac{13}{\sqrt{21}}\)
(d) \(\sqrt{\frac{π}{2}}\)

Answer

Answer: (c) \(\frac{13}{\sqrt{21}}\)

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CBSE Class 12 Maths - MCQ and Online Tests - Unit 10 - Vector Algebra

CBSE Class 12 Maths – MCQ and Online Tests – Unit 10 – Vector Algebra

Every year CBSE conducts board exams for 12th standard. These exams are very competitive to all the students. So our website provides online tests for all the 12th subjects. These tests are also very effective and useful for those who preparing for competitive exams like NEET, JEE, CA etc. It can boost their preparation level and confidence level by attempting these chapter wise online tests.

These online tests are based on latest CBSE Class 12 syllabus. While attempting these our students can identify the weak lessons and continuously practice those lessons for attaining high marks. It also helps to revise the NCERT textbooks thoroughly.

 

CBSE Class 12 Maths – MCQ and Online Tests – Unit 10 – Vector Algebra

Question 1.
\(\vec{a}\). \(\vec{a}\) =
(a) 0
(b) 1
(c) |\(\vec{a}\)|²
(d) |\(\vec{a}\)|

Answer

Answer: (c) |\(\vec{a}\)|²

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Question 2.
\(\vec{k}\) × \(\vec{j}\) =
(a) 0
(b) 1
(c) \(\vec{i}\)
(d) –\(\vec{i}\)

Answer

Answer: (d) –\(\vec{i}\)

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Question 3.
The projection of the vector 2\(\hat{i}\) – \(\hat{j}\) + \(\hat{k}\) on the vector \(\hat{i}\) – 2\(\hat{j}\) + \(\hat{k}\) is
(a) \(\frac{4}{√6}\)
(b) \(\frac{5}{√6}\)
(c) \(\frac{4}{√3}\)
(d) \(\frac{7}{√6}\)

Answer

Answer: (b) \(\frac{5}{√6}\)

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Question 4.
If \(\vec{a}\) = \(\vec{i}\) – \(\vec{j}\) + 2\(\vec{k}\) and b = 3\(\vec{i}\) + 2\(\vec{j}\) – \(\vec{k}\) then the value of (\(\vec{a}\) + 3\(\vec{b}\))(2\(\vec{a}\) – \(\vec{b}\))=.
(a) 15
(b) -15
(c) 18
(d) -18

Answer

Answer: (b) -15

---

Question 5.
If |\(\vec{a}\)|= \(\sqrt{26}\), |b| = 7 and |\(\vec{a}\) × \(\vec{b}\)| = 35, then \(\vec{a}\).\(\vec{b}\) =
(a) 8
(b) 7
(c) 9
(d) 12

Answer

Answer: (b) 7

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Question 6.
\(\vec{i}\) – \(\vec{j}\) =
(a) 0
(b) 1
(c) \(\vec{k}\)
(d) –\(\vec{k}\)

Answer

Answer: (a) 0

---

Question 7.
The position vector of the point (1, 0, 2) is
(a) \(\vec{i}\) +\(\vec{j}\) + 2\(\vec{k}\)
(b) \(\vec{i}\) + 2\(\vec{j}\)
(c) \(\vec{2}\) + 3\(\vec{k}\)
(d) \(\vec{i}\) + 2\(\vec{K}\)

Answer

Answer: (d) \(\vec{i}\) + 2\(\vec{K}\)

---

Question 8.
If \(\vec{a}\) = 2\(\vec{i}\) – 3\(\vec{j}\) + 4\(\vec{k}\) and \(\vec{b}\) = \(\vec{i}\) + 2\(\vec{j}\) + \(\vec{k}\) then \(\vec{a}\) + \(\vec{b}\) =
(a) \(\vec{i}\) + \(\vec{j}\) + 3\(\vec{k}\)
(b) 3\(\vec{i}\) – \(\vec{j}\) + 5\(\vec{k}\)
(c) \(\vec{i}\) – \(\vec{j}\) – 3\(\vec{k}\)
(d) 2\(\vec{i}\) + \(\vec{j}\) + \(\vec{k}\)

Answer

Answer: (b) 3\(\vec{i}\) – \(\vec{j}\) + 5\(\vec{k}\)

---

Question 9.
If \(\vec{a}\) = \(\vec{i}\) + 2\(\vec{j}\) + 3\(\vec{k}\) and \(\vec{b}\) = 3\(\vec{i}\) + 2\(\vec{j}\) + \(\vec{k}\), then cos θ =
(a) \(\frac{6}{7}\)
(b) \(\frac{5}{7}\)
(c) \(\frac{4}{7}\)
(d) \(\frac{1}{2}\)

Answer

Answer: (b) \(\frac{5}{7}\)

---

Question 10.
The modulus of 7\(\vec{i}\) – 2\(\vec{J}\) + \(\vec{K}\)
(a) \(\sqrt{10}\)
(b) \(\sqrt{55}\)
(c) 3\(\sqrt{6}\)
(d) 6

Answer

Answer: (c) 3\(\sqrt{6}\)

---

Question 11.
If |\(\vec{a}\) + \(\vec{b}\)| = |\(\vec{a}\) – \(\vec{b}\)|, then
(a) \(\vec{a}\) || \(\vec{a}\)
(b) \(\vec{a}\) ⊥ \(\vec{b}\)
(c) |\(\vec{a}\)| = |\(\vec{b}\)|
(d) None of these

Answer

Answer: (b) \(\vec{a}\) ⊥ \(\vec{b}\)

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Question 12.
The projection of the vector 2\(\hat{i}\) + 3\(\hat{j}\) – 6\(\hat{k}\) on the line joining the points (3, 4, 2) and (5, 6,3) is
(a) \(\frac{2}{3}\)
(b) \(\frac{4}{3}\)
(c) –\(\frac{4}{3}\)
(d) \(\frac{5}{3}\)

Answer

Answer: (b) \(\frac{4}{3}\)

---

Question 13.
If |\(\vec{a}\) × \(\vec{b}\)| – |\(\vec{a}\).\(\vec{b}\)|, then the angle between \(\vec{a}\) and \(\vec{b}\), is
(a) 0
(b) \(\frac{π}{2}\)
(c) \(\frac{π}{4}\)
(d) π

Answer

Answer: (c) \(\frac{π}{4}\)

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Question 14.
The angle between two vector \(\vec{a}\) and \(\vec{b}\) with magnitude √3 and 4, respectively and \(\vec{a}\).\(\vec{b}\) = 2√3 is
(a) \(\frac{π}{6}\)
(b) \(\frac{π}{3}\)
(c) \(\frac{π}{2}\)
(d) \(\frac{5π}{2}\)

Answer

Answer: (b) \(\frac{π}{3}\)

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Question 15.
The scalar product of 5\(\hat{i}\) + \(\hat{j}\) – 3\(\hat{k}\) and 3\(\hat{i}\) – 4\(\hat{j}\) + 7\(\hat{k}\) is
(a) 10
(b) -10
(c) 15
(d) -15

Answer

Answer: (b) -10

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Question 16.
If \(\vec{a}\).\(\vec{b}\) = 0, then
(a) a ⊥ b
(b) \(\vec{a}\) || \(\vec{b}\)
(c) \(\vec{a}\) + \(\vec{b}\) = 0
(d) \(\vec{a}\) – \(\vec{b}\) = 0

Answer

Answer: (a) a ⊥ b

---

Question 17.
Unit vector perpendicular to each of the vector 3\(\hat{i}\) + \(\hat{j}\) + 2\(\hat{k}\) and 2\(\hat{i}\) – 2\(\hat{j}\) + 4\(\hat{k}\) is
(a) \(\frac{\hat{i}+\hat{j}+\hat{k}}{√3}\)
(b) \(\frac{\hat{i}-\hat{j}+\hat{k}}{√3}\)
(c) \(\frac{\hat{i}-\hat{j}-\hat{k}}{√3}\)
(d) \(\frac{\hat{i}+\hat{j}-\hat{k}}{√3}\)

Answer

Answer: (c) \(\frac{\hat{i}-\hat{j}-\hat{k}}{√3}\)

---

Question 18.
Which one of the following can be written for (\(\vec{a}\) – \(\vec{b}\)) × (\(\vec{a}\) + \(\vec{b}\))
(a) \(\vec{a}\) × \(\vec{b}\)
(b) 2\(\vec{a}\) × \(\vec{b}\)
(c) \(\vec{a}\)² – \(\vec{b}\)
(d) 2\(\vec{b}\) × \(\vec{b}\)

Answer

Answer: (b) 2\(\vec{a}\) × \(\vec{b}\)

---

Question 19.
If \(\vec{a}\) = 2\(\vec{i}\) – 5\(\vec{j}\) + k and \(\vec{b}\) = 4\(\vec{i}\) + 2\(\vec{j}\) + \(\vec{k}\) then \(\vec{a}\).\(\vec{b}\) =
(a) 0
(b) -1
(c) 1
(d) 2

Answer

Answer: (b) -1

---

Question 20.
If 2\(\vec{i}\) + \(\vec{j}\) + \(\vec{k}\), 6\(\vec{i}\) – \(\vec{j}\) + 2\(\vec{k}\) and 14\(\vec{i}\) – 5\(\vec{j}\) + 4\(\vec{k}\) be the position vector of the points A, B and C respectively, then
(a) The A, B and C are collinear
(b) A, B and C are not colinear
(c) \(\vec{AB}\) ⊥ \(\vec{BC}\)
(d) None of these

Answer

Answer: (a) The A, B and C are collinear

---

Question 21.
According to the associative lass of addition of addition of s ector
(\(\vec{a}\) + …….) + \(\vec{c}\) = …… + (\(\vec{b}\) + \(\vec{c}\))
(a) \(\vec{b}\), \(\vec{a}\)
(b) \(\vec{a}\), \(\vec{b}\)
(c) \(\vec{a}\), 0
(d) \(\vec{b}\), 0

Answer

Answer: (a) \(\vec{b}\), \(\vec{a}\)

---

Question 22.
The points with position vectors (2. 6), (1, 2) and (a, 10) are collinear if the of a is
(a) -8
(b) 4
(c) 3
(d) 12

Answer

Answer: (c) 3

---

Question 23.
|\(\vec{a}\) + \(\vec{b}\)| = |\(\vec{a}\) – \(\vec{b}\)| then the angle between \(\vec{a}\) and \(\vec{b}\)
(a) \(\frac{π}{2}\)
(b) 0
(c) \(\frac{π}{4}\)
(d) \(\frac{π}{6}\)

Answer

Answer: (a) \(\frac{π}{2}\)

---

Question 25.
If \(\vec{a}\) and \(\vec{b}\) are any two vector then (\(\vec{a}\) × \(\vec{b}\))² is equal to
(a) (\(\vec{a}\))²(\(\vec{b}\))² – (\(\vec{a}\).\(\vec{b}\))²
(b) (\(\vec{a}\))² (\(\vec{b}\))² + (\(\vec{a}\).\(\vec{b}\))²
(c) (\(\vec{a}\).\(\vec{b}\))²
(d) (\(\vec{a}\))²(\(\vec{b}\))²

Answer

Answer: (a) (\(\vec{a}\))²(\(\vec{b}\))² – (\(\vec{a}\).\(\vec{b}\))²

---

Question 26.
|\(\vec{a}\) × \(\vec{b}\)| = |\(\vec{a}\).\(\vec{b}\)| then the angle between \(\vec{a}\) and \(\vec{b}\)
(a) 0
(b) \(\frac{π}{2}\)
(c) \(\frac{π}{4}\)
(d) π

Answer

Answer: (a) 0

---

Question 27.
If ABCDEF is a regular hexagon then \(\vec{AB}\) + \(\vec{EB}\) + \(\vec{FC}\) equals
(a) zero
(b) 2\(\vec{AB}\)
(c) 4\(\vec{AB}\)
(d) 3\(\vec{AB}\)

Answer

Answer: (d) 3\(\vec{AB}\)

---

Question 28.
Which one of the following is the modulus of x\(\hat{i}\) + y\(\hat{j}\) + z\(\hat{k}\)?
(a) \(\sqrt{x^2+y^2+z^2}\)
(b) \(\frac{1}{\sqrt{x^2+y^2+z^2}}\)
(c) x² + y² + z²
(d) none of these

Answer

Answer: (a) \(\sqrt{x^2+y^2+z^2}\)

---

Question 29.
If C is the mid point of AB and P is any point outside AB then,
(a) \(\vec{PA}\) + \(\vec{PB}\) = 2\(\vec{PC}\)
(b) \(\vec{PA}\) + \(\vec{PB}\) = \(\vec{PC}\)
(c) \(\vec{PA}\) + \(\vec{PB}\) = 2\(\vec{PC}\) = 0
(d) None of these

Answer

Answer: (a) \(\vec{PA}\) + \(\vec{PB}\) = 2\(\vec{PC}\)

---

Question 30.
If \(\vec{OA}\) = 2\(\vec{i}\) – \(\vec{j}\) + \(\vec{k}\), \(\vec{OB}\) = \(\vec{i}\) – 3\(\vec{j}\) – 5\(\vec{k}\) then |\(\vec{OA}\) × \(\vec{OB}\)| =
(a) 8\(\vec{i}\) + 11\(\vec{j}\) – 5\(\vec{k}\)
(b) \(\sqrt{210}\)
(c) sin θ
(d) \(\sqrt{40}\)

Answer

Answer: (b) \(\sqrt{210}\)

---

Question 31.
The distance of the point (- 3, 4, 5) from the origin
(a) 50
(b) 5√2
(c) 6
(d) None of these

Answer

Answer: (b) 5√2

---

Question 32.
If |a| = |b| = |\(\vec{a}\) + \(\vec{b}\)| = 1 then |\(\vec{a}\) – \(\vec{b}\)| is equal to
(a) 1
(b) √3
(c) 0
(d) None of these

Answer

Answer: (b) √3

---

Question 33.
If \(\hat{a}\) and \(\hat{b}\) be two unit vectors and 0 is the angle between them, then |\(\hat{a}\) – \(\hat{b}\)| is equal to
(a) sin \(\frac{θ}{2}\)
(b) 2 sin \(\frac{θ}{2}\)
(c) cos \(\frac{θ}{2}\)
(d) 2 cos \(\frac{θ}{2}\)

Answer

Answer: (b) 2 sin \(\frac{θ}{2}\)

---

Question 34.
The angle between the vector 2\(\hat{i}\) + 3\(\hat{j}\) + \(\hat{k}\) and 2\(\hat{i}\) – \(\hat{j}\) – \(\hat{k}\) is
(a) \(\frac{π}{2}\)
(b) \(\frac{π}{4}\)
(c) \(\frac{π}{3}\)
(d) 0

Answer

Answer: (a) \(\frac{π}{2}\)

---

Question 34.
If O be the origin and \(\vec{OP}\) = 2\(\hat{i}\) + 3\(\hat{j}\) – 4\(\hat{k}\) and \(\vec{OQ}\) = 5\(\hat{i}\) + 4\(\hat{j}\) -3\(\hat{k}\), then \(\vec{PQ}\) is equal to
(a) 7\(\hat{i}\) + 7\(\hat{j}\) – 7\(\hat{k}\)
(b) -3\(\hat{i}\) + \(\hat{j}\) – \(\hat{k}\)
(c) -7\(\hat{i}\) – 7\(\hat{j}\) + 7\(\hat{k}\)
(d) 3\(\hat{i}\) + \(\hat{j}\) + \(\hat{k}\)

Answer

Answer: (d) 3\(\hat{i}\) + \(\hat{j}\) + \(\hat{k}\)

---

Question 35.
If \(\vec{a}\) = \(\hat{i}\) – \(\hat{j}\) + \(\hat{k}\), \(\vec{b}\) = \(\hat{i}\) + 2\(\hat{j}\) – \(\hat{k}\), \(\vec{c}\) = 3\(\hat{i}\) – p\(\hat{j}\) – 5\(\hat{k}\) are coplanar then P =
(a) 6
(b) -6
(c) 2
(d) -2

Answer

Answer: (a) 6

---

 

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CBSE Class 12 Maths - MCQ and Online Tests - Unit 9 - Differential Equations

CBSE Class 12 Maths – MCQ and Online Tests – Unit 9 – Differential Equations

Every year CBSE conducts board exams for 12th standard. These exams are very competitive to all the students. So our website provides online tests for all the 12th subjects. These tests are also very effective and useful for those who preparing for competitive exams like NEET, JEE, CA etc. It can boost their preparation level and confidence level by attempting these chapter wise online tests.

These online tests are based on latest CBSE Class 12 syllabus. While attempting these our students can identify the weak lessons and continuously practice those lessons for attaining high marks. It also helps to revise the NCERT textbooks thoroughly.

 

CBSE Class 12 Maths – MCQ and Online Tests – Unit 9 – Differential Equations

Question 1.
The order and degree of the differential equation
\(\frac{d^2y}{dx^2}\) + (\(\frac{dy}{dx}\))^{\(\frac{1}{4}\)} + x^{\(\frac{1}{3}\)} = 0 respectvely, are
(a) 2 and not defined
(b) 2 and 2
(c) 2 and 3
(d) 3 and 3

Answer

Answer: (a) 2 and not defined

---

Question 2.
If y = e^-x (A cos x + B sin x), then y is a solution of
(a) \(\frac{d^2y}{dx^2}\) + 2\(\frac{dy}{dx}\) = 0
(b) \(\frac{d^2y}{dx^2}\) – 2\(\frac{dy}{dx}\) + 2y = 0
(c) \(\frac{d^2y}{dx^2}\) + 2\(\frac{dy}{dx}\) + 2y = 0
(d) \(\frac{d^2y}{dx^2}\) + 2y = 0

Answer

Answer: (c) \(\frac{d^2y}{dx^2}\) + 2\(\frac{dy}{dx}\) + 2y = 0

---

Question 3.
The differential equation for y = A cos αx + B sin αx where A and B are arbitary constants is
(a) \(\frac{d^2y}{dx^2}\) – α²y = 0
(b) \(\frac{d^2y}{dx^2}\) + α²y = 0
(c) \(\frac{d^2y}{dx^2}\) + αy = 0
(d) \(\frac{d^2y}{dx^2}\) – αy = 0

Answer

Answer: (b) \(\frac{d^2y}{dx^2}\) + α²y = 0

---

Question 4.
Integration factor of differential equation \(\frac{dy}{dx}\) + py = Q, where P and IQ are functions of x is
(a) ∫e^pdx
(b) \(_{e}\)∫pdx
(c) \(_{e}\)-∫pdx
(d) None of these

Answer

Answer: (d) None of these

---

Question 5.
Solution of differential equation xdy – ydx = Q represents
(a) a rectangular hyperbola
(b) parabola whose vertex is at origin
(c) straight line passing through origin
(d) a circle whose centre is at origin

Answer

Answer: (c) straight line passing through origin

---

Question 6.
Integrating factor of the differential equation cos x \(\frac{dy}{dx}\) + y sin x = 1 is
(a) cos x
(b) tan x
(c) sec x
(d) sin x

Answer

Answer: (c) sec x

---

Question 7.
Solution of the differential equation tan y sec² x dx + tan x sec² y dy + 0 is .
(a) tan x + tan y = k
(b) tan x – tan y = k
(c) \(\frac{tan x}{tan y}\) = k
(d) tan x.tan y = k

Answer

Answer: (d) tan x.tan y = k

---

Question 8.
Family r = Ax + A³ of curves is represented by the differential equation of degree
(a) 1
(b) 2
(c) 3
(d) 4

Answer

Answer: (b) 2

---

Question 9.
The radius of a circle is increasing at the rate of 0.4 cm/ s. The rate of increasing of its circumference is
(a) 0.4 π cm/s
(b) 0.8 π cm/s
(c) 0.8 cm/s
(d) None of these

Answer

Answer: (b) 0.8 π cm/s

---

Question 10.
The degree of differential equation
[1 + (\(\frac{dy}{dx}\))²]^{\(\frac{3}{2}\)} = \(\frac{d^2y}{dx^2}\) is
(a) 4
(b) \(\frac{3}{2}\)
(c) 2
(d) not defined

Answer

Answer: (c) 2

---

Question 11.
Integrating factor of \(\frac{xdy}{dx}\) – y = x⁴ – 3x is
(a) x
(b) log x
(c) \(\frac{1}{2}\)
(d) -x

Answer

Answer: (c) \(\frac{1}{2}\)

---

Question 12.
Solution of \(\frac{dy}{dx}\) – y = 1 y(0) = 1 is given by
(a) xy = -e^x
(b) xy = -e^-x
(c) xy = -1
(d) y = 2e^x – 1

Answer

Answer: (d) y = 2e^x – 1

---

Question 13.
The number of solutions of \(\frac{dy}{dx}\) = \(\frac{y+1}{x-1}\) when y(1) = 2 is
(a) none
(b) one
(c) two
(d) infinite

Answer

Answer: (b) one

---

Question 14.
Which of the following is a second order differential equation?
(a) (y’)² + x = y²
(b) y’y” + y = sin x
(c) y” + (y”)² + y = 0
(d) y’ = y²

Answer

Answer: (b) y’y” + y = sin x

---

Question 15.
Integrating factor of the differential equation
(1 – x²) \(\frac{dy}{dx}\) – xy = 1 is
(a) -x
(b) \(\frac{x}{1+x^2}\)
(c) \(\sqrt{1-x^2}\)
(d) \(\frac{1}{2}\) log(1 – x²)

Answer

Answer: (c) \(\sqrt{1-x^2}\)

---

Question 16.
The differential equation y \(\frac{dy}{dx}\) + x = c represents
(a) Family of hyperbolas
(b) Family of parabolas
(c) Family of ellipses
(d) Family of circles

Answer

Answer: (d) Family of circles

---

Question 17.
The general solution of e^x cos y dx – e^x sin y dy = 0 is
(a) e^x cos y = k
(b) e^x sin y = k
(c) e^x = k cos y
(d) e^x = k sin y

Answer

Answer: (a) e^x cos y = k

---

Question 18.
The solution of \(\frac{dy}{dx}\) = 1 + x + y + xy is
(a) x – y = k(1 + xy)
(b) log (1 + y) = x + \(\frac{x^2}{2}\) + k
(c) log (1 + x) + y + \(\frac{y^2}{2}\) = k
(d) None of these

Answer

Answer: (b) log (1 + y) = x + \(\frac{x^2}{2}\) + k

---

Question 19.
The degree of the differential equation
\(\frac{d^2y}{dx^2}\) + (\(\frac{dy}{dx}\))³ + 6y⁵ = 0 is
(a) 1
(b) 2
(c) 3
(d) 5

Answer

Answer: (a) 1

---

Question 20.
The degree of the differential equation
(\(\frac{d^2y}{dx}\))² + (\(\frac{dy}{dx}\))² = x sin \(\frac{dy}{dx}\) is
(a) 1
(b) 2
(c) 3
(d) not defined

Answer

Answer: (d) not defined

---

Question 21.
Family y = Ax + A³ of curves will correspond to a differential equation of order
(a) 3
(b) 2
(c) 1
(d) not finite

Answer

Answer: (b) 2

---

Question 22.
The solution of \(\frac{dy}{dx}\) + y = e^-x, y (0) = 0 is
(a) y = e^x(x – 1)
(b) y = xe^-x
(c) y = xe^-x + 1
(d) y = (x + 1 )e^-x

Answer

Answer: (b) y = xe^-x

---

Question 23.
The solution of the differential equation \(\frac{dy}{dx}\) = \(\frac{1+y^2}{1+x^2}\)
(a) y = tan^-1 x
(b) y – x = k(1 + xy)
(c) x = tan^-1 y
(d) tan (xy) = k

Answer

Answer: (b) y – x = k(1 + xy)

---

Question 24.
The integrating factor of the differential equation \(\frac{dy}{dx}\) + y = \(\frac{1+y}{x}\) is
(a) \(\frac{x}{e^x}\)
(b) \(\frac{e^x}{x}\)
(c) xe^x
(d) e^x

Answer

Answer: (b) \(\frac{e^x}{x}\)

---

Question 25.
y = ae^mx + be^-mx satisfies which of the following differential equation?
(a) \(\frac{dy}{dx}\) + my = 0
(b) \(\frac{dy}{dx}\) – my = 0
(c) \(\frac{d^2y}{dx^2}\) – m²y = 0
(d) \(\frac{d^2y}{dx^2}\) +m²y = 0

Answer

Answer: (c) \(\frac{d^2y}{dx^2}\) – m²y = 0

---

Question 26.
The solution of the differential equation cos x sin y dx + sin x cos y dy = 0 is
(a) \(\frac{sin x}{sin y}\) = c
(b) sin x sin y = c
(c) sin x + sin y = z
(d) cos x cos y = c

Answer

Answer: (b) sin x sin y = c

---

Question 27.
The solution of x \(\frac{dy}{dx}\) + y = e^x is
(a) y = \(\frac{e^x}{x}\) + \(\frac{k}{x}\)
(b) y = xe^x + cx
(c) y = xe^x + k
(d) x = \(\frac{e^vy}{y}\) + \(\frac{k}{y}\)

Answer

Answer: (a) y = \(\frac{e^x}{x}\) + \(\frac{k}{x}\)

---

Question 28.
Integrating factor of the differential equation \(\frac{dy}{dx}\) + y tan x – sec x = 0 is
(a) cos x
(b) sec x
(c) e^{cos x}
(d) e^{sec x}

Answer

Answer: (b) sec x

---

Question 29.
The differential equation of the family of cuves x² + y² – 2ay = 0, where a is arbitrary constant is
(a) (x² – y²)\(\frac{dy}{dx}\) = 2xy
(b) 2 (x² + y²)\(\frac{dy}{dx}\) = xy
(c) 2(x² – y²)\(\frac{dy}{dx}\) = xy
(d) (x² + y²) \(\frac{dy}{dx}\) = 2xy

Answer

Answer: (a) (x² – y²)\(\frac{dy}{dx}\) = 2xy

---

Question 30.
tan^-1 x + tan^-1 y = c is the general solution of the differential equation
(a) \(\frac{dy}{dx}\) = \(\frac{1+y^2}{1+x^2}\)
(b) \(\frac{dy}{dx}\) = \(\frac{1+x^2}{1+y^2}\)
(c) (1 + x²)dy + (1 + y²)dx = 0
(d) (1 +x²2)dx+(1 + y²)dy = 0

Answer

Answer: (c) (1 + x²)dy + (1 + y²)dx = 0

---

 

Read More

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CBSE Class 12 Maths - MCQ and Online Tests - Unit 7 - Integrals

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CBSE Class 12 Maths - MCQ and Online Tests - Unit 6 - Application of Derivatives

CBSE Class 12 Maths – MCQ and Online Tests – Unit 6 – Application of Derivatives

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CBSE Class 12 Maths - MCQ and Online Tests - Unit 5 - Continuity and Differentiability

CBSE Class 12 Maths – MCQ and Online Tests – Unit 5 – Continuity and Differentiability

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CBSE Class 12 Maths - MCQ and Online Tests - Unit 4 - Determinants

CBSE Class 12 Maths – MCQ and Online Tests – Unit 4 – Determinants

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CBSE Class 12 Maths - MCQ and Online Tests - Unit 3 - Matrices

CBSE Class 12 Maths – MCQ and Online Tests – Unit 3 – Matrices

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CBSE Class 12 Maths - MCQ and Online Tests - Unit 2 - Inverse Trigonometric Functions

CBSE Class 12 Maths – MCQ and Online Tests – Unit 2 – Inverse Trigonometric Functions

Every year CBSE conducts board exams for 12th standard. These exams are very competitive to all the students. So our website provides online tests for all the 12th subjects. These tests are also very effective and useful for those who preparing for competitive exams like NEET, JEE, CA etc. It can boost their preparation level and confidence level by attempting these chapter wise online tests.

These online tests are based on latest CBSE Class 12 syllabus. While attempting these our students can identify the weak lessons and continuously practice those lessons for attaining high marks. It also helps to revise the NCERT textbooks thoroughly.

 

CBSE Class 12 Maths – MCQ and Online Tests – Unit 2 – Inverse Trigonometric Functions

Question 1.
The value of cos^-1 (cos\(\frac{3π}{2}\)) is equal to
(a) \(\frac{π}{2}\)
(b) \(\frac{3π}{2}\)
(c) \(\frac{5π}{2}\)
(d) –\(\frac{7π}{2}\)

Answer

Answer: (a) \(\frac{π}{2}\)

---

Question 2.
The value of expression 2 sec^-1 2 + sin^-1 (\(\frac{1}{2}\)) is
(a) \(\frac{π}{6}\)
(b) \(\frac{5π}{6}\)
(c) \(\frac{7π}{6}\)
(d) 1

Answer

Answer: (b) \(\frac{5π}{6}\)

---

Question 3.
The value of sin [cos^-1(\(\frac{7}{25}\))] is
(a) \(\frac{25}{24}\)
(b) \(\frac{25}{7}\)
(c) \(\frac{24}{25}\)
(d) \(\frac{7}{24}\)

Answer

Answer: (c) \(\frac{24}{25}\)

---

Question 4.
If cos^-1 x > sin^-1 x, then
(a) \(\frac{1}{√2}\) < x ≤ 1
(b) 0 ≤ x < \(\frac{1}{√2}\)
(c) -1 ≤ x < \(\frac{1}{√2}\) (d) x > 0

Answer

Answer: (b) 0 ≤ x < \(\frac{1}{√2}\)

---

Question 5.
sin^-1(\(\frac{-1}{2}\))
(a) \(\frac{π}{3}\)
(b) –\(\frac{π}{3}\)
(c) \(\frac{π}{6}\)
(d) –\(\frac{π}{6}\)

Answer

Answer: (d) –\(\frac{π}{6}\)

---

Question 6.
If cos^-1 α + cos^-1 β + cos^-1 γ = 3π, then α(β + γ) + β (γ + α) + γ(α + β) equals
(a) 0
(b) 1
(c) 6
(d) 12

Answer

Answer: (c) 6

---

Question 7.
If sin^-1 x + sin^-1 y = \(\frac{2π}{3}\) then cos^-1 x + cos^-1 y =
(a) \(\frac{2π}{3}\)
(b) \(\frac{π}{4}\)
(c) \(\frac{π}{3}\)
(d) \(\frac{π}{2}\)

Answer

Answer: (c) \(\frac{π}{3}\)

---

Question 8.
tan^-1\(\frac{1}{2}\) + tan^-1\(\frac{1}{3}\) =
(a) \(\frac{π}{4}\)
(b) \(\frac{π}{2}\)
(c) \(\frac{π}{3}\)
(d) π

Answer

Answer: (a) \(\frac{π}{4}\)

---

Question 9.
cos^-1(cos\(\frac{7π}{6}\)) is equal to
(a) \(\frac{7π}{6}\)
(b) \(\frac{5π}{6}\)
(c) \(\frac{π}{3}\)
(d) \(\frac{π}{6}\)

Answer

Answer: (b) \(\frac{5π}{6}\)

---

Question 10.
Principal value of sin^-1(\(\frac{1}{√2}\))
(a) \(\frac{π}{4}\)
(b) \(\frac{3π}{4}\)
(c) \(\frac{5π}{4}\)
(d) None of these

Answer

Answer: (a) \(\frac{π}{4}\)

---

Question 11.
If sin^-1(\(\frac{2x}{1+x^2}\)) + sin^-1\(\frac{2y}{1+y^2}\) = 2 tan^-1 a then a is equal to
(a) \(\frac{x-y}{1+xy}\)
(b) \(\frac{y}{1+xy}\)
(c) \(\frac{y}{1-xy}\)
(d) \(\frac{x+y}{1-xy}\)

Answer

Answer: (d) \(\frac{x+y}{1-xy}\)

---

Question 12.
Princal value of tan^-1 (-1) is
(a) \(\frac{π}{4}\)
(b) \(\frac{-π}{2}\)
(c) \(\frac{5π}{4}\)
(d) \(\frac{-π}{4}\)

Answer

Answer: (d) \(\frac{-π}{4}\)

---

Question 13.
If x + \(\frac{1}{x}\) = 2 then the principal value of sin^-1 x is x
(a) \(\frac{π}{4}\)
(b) \(\frac{π}{2}\)
(c) π
(d) \(\frac{3π}{2}\)

Answer

Answer: (d) \(\frac{3π}{2}\)

---

Question 14.
The principle value of sin^-1(sin\(\frac{2π}{3}\)) is
(a) \(\frac{2π}{3}\)
(b) \(\frac{π}{3}\)
(c) \(\frac{-π}{6}\)
(d) \(\frac{π}{6}\)

Answer

Answer: (b) \(\frac{π}{3}\)

---

Question 15.
Algebraic expression for sin (cot^-1 x) is
(a) \(\frac{1}{1+x^2}\)
(b) \(\frac{1}{\sqrt{1+x^2}}\)
(c) \(\frac{x}{\sqrt{1+x^2}}\)
(d) None of these

Answer

Answer: (b) \(\frac{1}{\sqrt{1+x^2}}\)

---

Question 16.
If y = sec^-1 x then
(a) 0 ≤ y ≤ π
(b) 0 ≤ y ≤ \(\frac{π}{2}\)
(c) –\(\frac{π}{2}\) < y < \(\frac{π}{2}\)
(d) None of these

Answer

Answer: (d) None of these

---

Question 17.
Princal value of cos^-1(\(\frac{-1}{√2}\))
(a) \(\frac{3π}{4}\)
(b) \(\frac{5π}{4}\)
(c) –\(\frac{π}{4}\)
(d) None of these

Answer

Answer: (a) \(\frac{3π}{4}\)

---

Question 18.
tan^-1(\(\frac{x}{y}\)) – tan^-1(\(\frac{x-y}{x+y}\)) is equal to
(a) \(\frac{π}{3}\)
(b) \(\frac{π}{4}\)
(c) \(\frac{π}{2}\)
(d) \(\frac{-3π}{4}\)

Answer

Answer: (b) \(\frac{π}{4}\)

---

Question 19.
The value of x for which sin |cot^-1(1 – x)| = cos (tan^-1 x) is
(a) \(\frac{2}{1}\)
(b) 1
(c) 0
(d) \(\frac{1}{2}\)

Answer

Answer: (d) \(\frac{1}{2}\)

---

Question 20.
tan^-1 √3 – sec^-1(-2)
(a) π
(b) –\(\frac{π}{3}\), 0
(c) \(\frac{π}{3}\)
(d) \(\frac{2π}{3}\)

Answer

Answer: (b) –\(\frac{π}{3}\), 0

---

Question 21.
2 tan^-1 \(\frac{1}{3}\) + tan^-1 \(\frac{1}{7}\) =
(a) tan^-1 \(\frac{44}{29}\)
(b) \(\frac{π}{2}\)
(c) 0
(d) \(\frac{π}{4}\)

Answer

Answer: (d) \(\frac{π}{4}\)

---

Question 22.
The principle value of sin^-1 \(\frac{√3}{2}\) is
(a) \(\frac{2π}{3}\)
(b) \(\frac{π}{6}\)
(c) \(\frac{π}{4}\)
(d) \(\frac{π}{3}\)

Answer

Answer: (d) \(\frac{π}{3}\)

---

Question 23.
Simplified form of cos^-1 (4x³ – 3x)
(a) 3 sin^-1x
(b) 3 cos^-1x
(c) π – 3 sin^-1x
(d) None of these

Answer

Answer: (b) 3 cos^-1x

---

Question 24.
The value of tan(tan^-1 \(\frac{4}{5}\) + tan^-1 \(\frac{2}{3}\)) is
(a) \(\frac{6}{17}\)
(b) \(\frac{7}{16}\)
(c) \(\frac{17}{6}\)
(d) None of these

Answer

Answer: (d) None of these

---

Question 25.
Which of the following is the principal value branch of cos^-1 x?
(a) [\(\frac{-π}{2}\), \(\frac{π}{2}\)]
(b) (0, π)
(c) (0, π)
(d) (0, π) – {\(\frac{π}{2}\)}

Answer

Answer: (c) (0, π)

---

Question 26.
If 3 tan^-1 x + cot^-1 x = π, then x equals
(a) 0
(b) 1
(c) -1
(d) \(\frac{1}{2}\)

Answer

Answer: (b) 1

---

Question 27.
The value of cos^-1[cos(\(\frac{33π}{5}\))] is
(a) \(\frac{3π}{5}\)
(b) \(\frac{-3π}{5}\)
(c) \(\frac{π}{10}\)
(d) –\(\frac{-π}{10}\)

Answer

Answer: (a) \(\frac{3π}{5}\)

---

Question 28.
If cos(sin^-1\(\frac{2}{5}\) + cos^-1 x) = 0 then x is equal to
(a) \(\frac{1}{5}\)
(b) \(\frac{2}{5}\)
(c) 0
(d) 1

Answer

Answer: (b) \(\frac{2}{5}\)

---

Question 29.
The value of sin (2 tan^-1 (.75)) is equal to
(a) .75
(b) 1.5
(c) .96
(d) sin 1.5

Answer

Answer: (c) .96

---

Question 30.
4 tan^-1 \(\frac{1}{5}\) – tan^-1 \(\frac{1}{70}\) + tan^-1 \(\frac{1}{99}\) is equal to
(a) \(\frac{π}{6}\)
(b) \(\frac{π}{4}\)
(c) \(\frac{π}{3}\)
(d) \(\frac{π}{2}\)

Answer

Answer: (b) \(\frac{π}{4}\)

---

Question 31.
cos^-1 (\(\frac{-1}{2}\)) + 2sin^-1 (\(\frac{-1}{2}\))
(a) \(\frac{π}{3}\)
(b) \(\frac{2π}{3}\)
(c) \(\frac{3π}{4}\)
(d) \(\frac{5π}{8}\)

Answer

Answer: (a) \(\frac{π}{3}\)

---

Question 32.
tan^-1 (√3) + sec^-1 (-2) – cosec^-1 (\(\frac{2}{√3}\))
(a) \(\frac{5π}{6}\)
(b) \(\frac{2π}{3}\)
(c) \(\frac{π}{3}\)
(d) 0

Answer

Answer: (d) 0

---

Question 33.
Number of solutions of the equation
tan^-1 (\(\frac{1}{2x+1}\)) + tan^-1 (\(\frac{1}{4x+1}\)) = tan^-1 (\(\frac{2}{x^2}\))
(a) 1
(b) 2
(c) 3
(d) 4

Answer

Answer: (b) 2

---

Question .34
sec^-1(2)
(a) \(\frac{π}{6}\)
(b) \(\frac{π}{3}\)
(c) \(\frac{2π}{3}\)
(d) \(\frac{5π}{6}\)

Answer

Answer: (b) \(\frac{π}{3}\)

---

Question 35.
cot^-1(-√3)
(a) \(\frac{5π}{6}\)
(b) \(\frac{π}{3}\)
(c) \(\frac{π}{2}\)
(d) \(\frac{π}{4}\)

Answer

Answer: (a) \(\frac{5π}{6}\)

---

 

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CBSE Class 12 Maths - MCQ and Online Tests - Unit 1 - Relations and Functions

CBSE Class 12 Maths – MCQ and Online Tests – Unit 1 – Relations and Functions

Read More

CBSE Class 12 English - MCQ and Online Tests - Vistas - Unit 8 - Memories of Childhood

CBSE Class 12 English – MCQ and Online Tests – Vistas – Unit 8 – Memories of Childhood

Every year CBSE conducts board exams for 12th standard. These exams are very competitive to all the students. So our website provides online tests for all the 12th subjects. These tests are also very effective and useful for those who preparing for competitive exams like NEET, JEE, CA etc. It can boost their preparation level and confidence level by attempting these chapter wise online tests.

These online tests are based on latest CBSE Class 12 syllabus. While attempting these our students can identify the weak lessons and continuously practice those lessons for attaining high marks. It also helps to revise the NCERT textbooks thoroughly.

 

CBSE Class 12 English – MCQ and Online Tests – Vistas – Unit 8 – Memories of Childhood

Question 1.
As the bell rang, the whole group of pupils
(a) sat on the floor
(b) drew a chair from under the table
(c) sat on the stools
(d) knelt down on the ground

Answer

Answer: (b) drew a chair from under the table

---

Question 2.
One day the author was attracted by the sight of
(a) two riders on a horse
(b) a monkey performing tricks
(c) cattle treading out the grain from straw
(d) dogs fighting with cats

Answer

Answer: (c) cattle treading out the grain from straw

---

Question 3.
Bama’s elder brother was studying at
(a) school
(b) college
(c) university
(d) medical college

Answer

Answer: (c) university

---

Question 4.
There would always be some kind of entertainment
(a) in the school
(b) in the church
(c) in the bazaar
(d) in the house

Answer

Answer: (c) in the bazaar

---

Question 5.
She had thought that the man carrying the bag was only
(a) making a game out of carrying the parcel
(b) trying to make her laugh
(c) obeying orders
(d) not touching it because it was hot

Answer

Answer: (a) making a game out of carrying the parcel

---

Question 6.
Bama used to dawdle along from school because she was
(a) too slow
(b) crippled
(c) distracted by lots of things on the way
(d) unable to wait for the school bus

Answer

Answer: (c) distracted by lots of things on the way

---

Question 7.
The author was being stared at by people and she felt she
(a) looked pretty
(b) looked terrible
(c) had suffered extreme indignities
(d) looked like a model

Answer

Answer: (c) had suffered extreme indignities

---

Question 8.
The man was carrying
(a) pakoras
(b) samosas
(c) jalebis
(d) vadai or green banana bhaji

Answer

Answer: (d) vadai or green banana bhaji

---

Question 9.
We have to submit because they are strong’. These words were said by
(a) Zitkala-Sa
(b) Judewin
(c) Marry-Ann
(d) Christine

Answer

Answer: (b) Judewin

---

Question 10.
Why did the Landlord’s man ask Bama’s brother on which street did they live?
(a) to know his class
(b) to know his background
(c) to know his work
(d) to know his caste

Answer

Answer: (d) to know his caste

---

Question 11.
Why did Zitkala hide herself?
(a) to save herself
(b) to save herself from a woman
(c) to save herself from other children
(d) to stop people from cutting her hair

Answer

Answer: (d) to stop people from cutting her hair

---

Question 12.
While others ate, the author
(a) laughed
(b) watched them
(c) cried
(d) frowned

Answer

Answer: (c) cried

---

Question 13.
What was common between Bama and Zitkala?
(a) belonged to minority
(b) victims of cultural differences
(c) were struggling because of class
(d) all these

Answer

Answer: (d) all these

---

Question 14.
Short hair, in the author’s tribe, was worn only by
(a) mourners
(b) old people
(c) young kids
(d) elderly women

Answer

Answer: (a) mourners

---

Question 15.
Which family did Bama belog to?
(a) A jewish family
(b) a rich family
(c) a poor catholic family
(d) all

Answer

Answer: (c) a poor catholic family

---

Question 16.
Everyone kept standing except
(a) the teacher
(b) the matron
(c) the caretaker
(d) the author

Answer

Answer: (d) the author

---

Question 17.
Bama’s brother told her that if she wanted to make progress, she had to
(a) learn to cook
(b) study
(c) learn to stitch and knit
(d) learn to drive

Answer

Answer: (b) study

---

Question 18.
Rama was a
(a) Bengali writer
(b) a Tamil Dalit
(c) an NRI
(d) a politician

Answer

Answer: (b) a Tamil Dalit

---

Question 19.
The Indian girls wore
(a) clinging dresses
(b) nightgowns
(c) trousers
(d) skirts

Answer

Answer: (a) clinging dresses

---

Question 20.
The author Bama felt she already had experienced the humiliation due to
(a) dark skin
(b) short height
(c) poverty
(d) untouchability

Answer

Answer: (d) untouchability

---

Question 21.
Zitkala was being constantly observed by a woman who had
(a) a pale face
(b) fair complexion
(c) dark complexion
(d) angry look

Answer

Answer: (a) a pale face

---

Question 22.
Bama was very rebellious and the thought of oppression at the hands of upper castes
(a) infuriated her
(b) provoked her to slap someone
(c) made her abusive
(d) made her want to murder someone

Answer

Answer: (a) infuriated her

---

Question 23.
The lesson ‘Memories of Childhood’ is
(a) an autobiographical episode
(b) a fable
(c) a legend
(d) a play

Answer

Answer: (a) an autobiographical episode

---

Question 24.
What was the name of the school where Zitkala studied?
(a) Carlisle Indian school
(b) Carlisle Western school
(c) Carlisle Indonesian school
(d) Carlisle American school

Answer

Answer: (a) Carlisle Indian school

---

Question 25.
Why did Zitkala feel oppressed in her new establishment?
(a) because of indignities shown to her
(b) because she didn’t like the place
(c) she wanted to be with her mother
(d) none

Answer

Answer: (a) because of indignities shown to her

---

Question 26.
What was the author’s original name?
(a) Zitkala
(b) Zitkala sa
(c) Zitkala Bama
(d) Gertrude Simmons Bonnin

Answer

Answer: (d) Gertrude Simmons Bonnin

---

Question 27.
What sort of shows attracted Bama?
(a) shows by jugglers
(b) shows by monkeys
(c) shows by shopkeepers
(d) shows by political people

Answer

Answer: (d) shows by political people

---

Question 28.
Zitkala-Sa was a victim of
(a) racial prejudice
(b) serious crime
(c) rape
(d) a car accident

Answer

Answer: (a) racial prejudice

---

Question 29.
What did Judewin tell Zitkala?
(a) A new dress is comming
(b) she will meet her mother
(c) she will go to a new place
(d) her hair would be cut

Answer

Answer: (d) her hair would be cut

---

Question 30.
Why did Zitkala find Eating by formula a hard trial?
(a) because of her inability to follow the bell taps
(b) because of too many rules
(c) because of restrictions
(d) none

Answer

Answer: (a) because of her inability to follow the bell taps

---

 

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CBSE Class 12 English - MCQ and Online Tests - vistas - Unit 7 - Evans Tries an O-level

CBSE Class 12 English – MCQ and Online Tests – vistas – Unit 7 – Evans Tries an O-level

Every year CBSE conducts board exams for 12th standard. These exams are very competitive to all the students. So our website provides online tests for all the 12th subjects. These tests are also very effective and useful for those who preparing for competitive exams like NEET, JEE, CA etc. It can boost their preparation level and confidence level by attempting these chapter wise online tests.

These online tests are based on latest CBSE Class 12 syllabus. While attempting these our students can identify the weak lessons and continuously practice those lessons for attaining high marks. It also helps to revise the NCERT textbooks thoroughly.

 

CBSE Class 12 English – MCQ and Online Tests – vistas – Unit 7 – Evans Tries an O-level

Question 1.
Governorswitched on the receiver at ___
(a) 9:00 am
(b) 9:10 am
(c) 9:20 am
(d) 9:30 am

Answer

Answer: (b) 9:10 am

---

Question 2.
At 11:22 __ minutes before the examination was to be over Jackson called Stephens telling him that the Governor wanted to speak with him
(a) 2
(b) 3
(c) 4
(d) 5

Answer

Answer: (b) 3

---

Question 3.
Evans is told about the corrections on ___ by McLeery
(a) page three, line fifteen
(b) page three, line nine
(c) page two, line twelve
(d) page two, line fifteen

Answer

Answer: (a) page three, line fifteen

---

Question 4.
McLeery directed the superintendent to lead him towards ___
(a) Radcliff Hospital
(b) Elsfield Way
(c) Broad Street
(d) Oxford Lane

Answer

Answer: (b) Elsfield Way

---

Question 5.
The examination started at ——-
(a) 9:15 am
(b) 9:25 am
(c) 9:35 am
(d) 9:45 am

Answer

Answer: (b) 9:25 am

---

Question 6.
Carter tells Governor that he had left Evans at __
(a) Radcliff Hospital
(b) Broad Street
(c) St. Mary’s Mag
(d) Elsfield Way

Answer

Answer: (a) Radcliff Hospital

---

Question 7.
The Index number was ___
(a) 303
(b) 313
(c) 323
(d) 333

Answer

Answer: (b) 313

---

Question 8.
McLeery said he was suffering from ___
(a) diabetes
(b) cough
(c) piles
(d) cold

Answer

Answer: (c) piles

---

Question 9.
The wounded man in the cell was ___
(a) McLeery
(b) Jackson
(c) Stephens
(d) Evans

Answer

Answer: (d) Evans

---

Question 10.
The Governor had got Evans cell ___ because he did not want to take chances with Evans, the master planner.
(a) bugged
(b) guarded
(c) watched
(d) locked

Answer

Answer: (a) bugged

---

Question 11.
The Secretary agreed to make an arrangement of a person from ___ to act as an invigilator
(a) St. Agnes Mags
(b) St. Francis Mags
(c) St. Mary Mags
(d) St. Xavier Mags

Answer

Answer: (c) St. Mary Mags

---

Question 12.
The names of the officers who visited Evans before the examination were ___
(a) Jackson and Stephens
(b) Jackson and Bell
(c) Jackson and Carter
(d) Carter and Bell

Answer

Answer: (a) Jackson and Stephens

---

Question 13.
The police laid their hands on Evans in a hotel named ___
(a) the Lion’s Den
(b) Lion’s Cage
(c) the Golden Lion
(d) the Golden Web

Answer

Answer: (c) the Golden Lion

---

Question 14.
Evans’ tutor wished him good luck one day before the examination on ___
(a) February 10
(b) June 7
(c) July 11
(d) November 17

Answer

Answer: (b) June 7

---

Question 15.
‘Evans Tries an O Level is a ___the criminal and the jail authorities
(a) the narration of
(b) satire of
(c) battle of wits between
(d) tragic conflict between

Answer

Answer: (c) battle of wits between

---

Question 16.
What information did the governor receive from the detective Superintendent?
(a) Mcleery had spotted Evan
(b) Evan was seen near Elsfield way
(c) chased Evan but lost him
(d) All these

Answer

Answer: (d) All these

---

Question 17.
Evans had escaped from jail
(a) 3 times
(b) 4 times
(c) 5 times
(d) 6 times

Answer

Answer: (a) 3 times

---

Question 18.
Evan wanted to appear in O Level ___ Examination
(a) French
(b) Italian
(c) Spanish
(d) German

Answer

Answer: (d) German

---

Question 19.
Jackson instructs Stephen to take away ___
(a) the bag
(b) the razor
(c) the scissors
(d) the knife

Answer

Answer: (b) the razor

---

Question 20.
What aided Evan’s arrest?
(a) his friends
(b) his gang
(c) secret agents
(d) The clues Evan left

Answer

Answer: (d) The clues Evan left

---

Question 21.
The Governor of ___ contacted the Secretary of Examination on the telephone
(a) Newbury Prison
(b) Radcliff Prison
(c) Elsfield Prison
(d) Oxford Prison

Answer

Answer: (d) Oxford Prison

---

Question 22.
Evans is good at ___
(a) making calculations
(b) learning languages
(c) predicting the moves of his rivals
(d) German

Answer

Answer: (c) predicting the moves of his rivals

---

Question 23.
From whom did the governor receive the first call?
(a) Assistant Secretary
(b) Joint Secretary
(c) Assistant commissioner
(d) All

Answer

Answer: (a) Assistant Secretary

---

Question 24.
What made Evan have his last laugh?
(a) his friend a prison officer opened his handcuffs and helped him to escape
(b) Evan was locked up
(c) Evan was released
(d) None

Answer

Answer: (a) his friend a prison officer opened his handcuffs and helped him to escape

---

Question 25.
How was the governor able to locate Evans?
(a) by putting together 6 figures
(b) by decoding
(c) with the help of Ordnance survey map of oxfordshire
(d) All these

Answer

Answer: (d) All these

---

Question 26.
What precautions did the authorities take to conduct the examination smoothly?
(a) The Governor personally supervised security
(b) Evan’s cell was checked thoroughly
(c) All belongings were taken away from Evan, The invigilator was frisked and a police officer was posted to keep a vigil
(d) All these

Answer

Answer: (d) All these

---

Question 27.
How can we say that Evan could not get through the O Level German examination?
(a) he is unable to understand even simple expression like Gutten Gluck
(b) he didn’t study
(c) didn’t attend any class
(d) was behind the bars

Answer

Answer: (a) he is unable to understand even simple expression like Gutten Gluck

---

Question 28.
What did the Governor want Carter to do?
(a) he wanted him to check Evan
(b) he wanted him to go with Evan
(c) he wanted him to accompany him
(d) he wanted him to accompany injured Mcleery

Answer

Answer: (d) he wanted him to accompany injured Mcleery

---

Question 29.
Why did Evans clip his hair short?
(a) to aid his escape plan and to pass off as Mc Leery later
(b) he was feeling hot
(c) to give modern look
(d) to give a young look

Answer

Answer: (a) to aid his escape plan and to pass off as Mc Leery later

---

Question 30.
From where did they find the name of the hotel where Evan was staying?
(a) from the police
(b) from the people
(c) secret agent
(d) from the correction slip

Answer

Answer: (d) from the correction slip

---

 

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CBSE Class 12 English - MCQ and Online Tests - vistas - Unit 6 - On the Face of it

CBSE Class 12 English – MCQ and Online Tests – vistas – Unit 6 – On the Face of it

Every year CBSE conducts board exams for 12th standard. These exams are very competitive to all the students. So our website provides online tests for all the 12th subjects. These tests are also very effective and useful for those who preparing for competitive exams like NEET, JEE, CA etc. It can boost their preparation level and confidence level by attempting these chapter wise online tests.

These online tests are based on latest CBSE Class 12 syllabus. While attempting these our students can identify the weak lessons and continuously practice those lessons for attaining high marks. It also helps to revise the NCERT textbooks thoroughly.

 

CBSE Class 12 English – MCQ and Online Tests – vistas – Unit 6 – On the Face of it

Question 1.
The gate to Mr Lamb’s house is
(a) always shut
(b) heavily guarded
(c) barricaded
(d) always open

Answer

Answer: (d) always open

---

Question 2.
The terrible woman said about Derry that it was a face———-
(a) no one could love
(b) everyone could love
(c) only a mother could love
(d) kids would be scared of

Answer

Answer: (c) only a mother could love

---

Question 3.
What ate Derry’s face away?
(a) Mites
(b) Disease
(c) An accident
(d) Acid

Answer

Answer: (d) Acid

---

Question 4.
What complex does Derry suffer from?
(a) Superiority
(b) oedipus
(c) inferiority
(d) All these

Answer

Answer: (c) inferiority

---

Question 5.
How old is Derry?
(a) 13
(b) 14
(c) 15
(d) 16

Answer

Answer: (b) 14

---

Question 6.
Mr. Lambfeels one must——-
(a) survive
(b) struggle with disability
(c) live fully
(d) look for sympathy

Answer

Answer: (c) live fully

---

Question 7.
Mr Lamb says. it’s all __ , Beauty and the Beast.
(a) relative
(b) unimportant
(c) God’s Grace
(d) destiny

Answer

Answer: (a) relative

---

Question 8.
If Derry didn’t go back, he was scared ___
(a) Mr Lamb would not let him in
(b) Mr Lamb would make other friends
(c) he wouldn’t be able to pick crabapples
(d) he’d never go anywhere in the world again

Answer

Answer: (d) he’d never go anywhere in the world again

---

Question 9.
‘Why is one green growing plant called a ___ and another a flower?’ asks Mr Lamb
(a) thorn
(b) grass
(c) weed
(d) fruit

Answer

Answer: (c) weed

---

Question 10.
Derry is ___ when Mr Lamb welcomes him to his garden repulsed
(a) surprised
(b) angry
(c) happy
(d) curious

Answer

Answer: (a) surprised

---

Question 11.
Mr Lamb felt the name children called him by——
(a) suited him
(b) did not suit him
(c) was outrageous
(d) was disgusting

Answer

Answer: (a) suited him

---

Question 12.
Derry felt Mr Lamb said ___ things
(a) peculiar
(b) sad
(c) funny
(d) profound

Answer

Answer: (a) peculiar

---

Question 13.
Derry didn’t like people
(a) being friendly
(b) being afraid of him
(c) being affectionate
(d) being sympathetic

Answer

Answer: (b) being afraid of him

---

Question 14.
One side of Derry’s face was ___
(a) marred by scars
(b) had spots
(c) was darker
(d) burnt by acid

Answer

Answer: (b) had spots

---

Question 15.
Why did Derry always find a vacant place to live?
(a) he liked to be alone
(b) was scared of people
(c) because of inferiority complex as he had a burnt face
(d) All these

Answer

Answer: (d) All these

---

Question 16.
How far is Derry’s house from Mr Lamb’s?
(a) A mile
(b) 2 miles
(c) 3 miles
(d) 4 miles

Answer

Answer: (c) 3 miles

---

Question 17.
The boy’s name is __ but he prefers
(a) Dennis
(b) Derek
(c) Derham
(d) Derrain

Answer

Answer: (b) Derek

---

Question 18.
In what sense was friendship between Lamb and Derry was fruitful?
(a) he gave him fruit to eat
(b) his maturity
(c) both were good companions and Lamb’s mature experiences and words helped Derry to have a positive view of life
(d) none

Answer

Answer: (c) both were good companions and Lamb’s mature experiences and words helped Derry to have a positive view of life

---

Question 19.
Mr Lamb believed that Derry wanted to turn back because of he ___
(a) he had been caught
(b) he was ugly
(c) he was afraid of Mr Lamb
(d) he had something to hide

Answer

Answer: (c) he was afraid of Mr Lamb

---

Question 20.
Mr. Lamb claimed he had ______ friends
(a) hundreds of
(b) no
(c) two or three
(d) a couple of

Answer

Answer: (a) hundreds of

---

Question 21.
Why did Derry enter Mr Lamb’s garden?
(a) He wanted to see the flowers
(b) He wanted to see the bees
(c) He wanted to steal crabapples
(d) Out of curiosity

Answer

Answer: (d) Out of curiosity

---

Question 22.
Mr Lamb changed the subject and started talking about ___
(a) apple picking
(b) bees singing
(c) beauty and the beast
(d) his tin leg

Answer

Answer: (a) apple picking

---

Question 23.
Derry entered Mr Lamb’s garden by __
(a) climbing over the wall
(b) climbing through the window
(c) walked in through the open gate
(d) walking in stealthily

Answer

Answer: (a) climbing over the wall

---

Question 24.
What did Mr. Lamb tell about himself?
(a) he had a tin leg
(b) still he was happy
(c) he never mind even if children teased him
(d) All these

Answer

Answer: (d) All these

---

Question 25.
What did Derry learn from the fairy tale?
(a) how to look beautiful
(b) how to make friends
(c) learnt to love and appreciate himself
(d) All these

Answer

Answer: (d) All these

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CBSE Class 12 English - MCQ and Online Tests - Vistas - Unit 5 - Should Wizard Hit Mommy

CBSE Class 12 English – MCQ and Online Tests – Vistas – Unit 5 – Should Wizard Hit Mommy

Every year CBSE conducts board exams for 12th standard. These exams are very competitive to all the students. So our website provides online tests for all the 12th subjects. These tests are also very effective and useful for those who preparing for competitive exams like NEET, JEE, CA etc. It can boost their preparation level and confidence level by attempting these chapter wise online tests.

These online tests are based on latest CBSE Class 12 syllabus. While attempting these our students can identify the weak lessons and continuously practice those lessons for attaining high marks. It also helps to revise the NCERT textbooks thoroughly.

 

CBSE Class 12 English – MCQ and Online Tests – Vistas – Unit 5 – Should Wizard Hit Mommy

Question 1.
How many times did the wizard ask Roger to turn at the end of the lane?
(a) 2
(b) 3
(c) 4
(d) 5

Answer

Answer: (b) 3

---

Question 2.
Jack’s wife is called
(a) Mommy
(b) Clare
(c) Roses
(d) Jill

Answer

Answer: (b) Clare

---

Question 3.
What did Jack mistakenly call Roger Skunk?
(a) Roger Rabbit
(b) Roger fish
(c) Roger squirrel
(d) Roger monkey

Answer

Answer: (c) Roger squirrel

---

Question 4.
What did Roger Skunk want to smell like?
(a) Roses
(b) Lilies
(c) Lavender
(d) Jasmine

Answer

Answer: (a) Roses

---

Question 5.
Jack felt being ___ suited him
(a) an old man
(b) an Owl
(c) a Skunk
(d) a kid

Answer

Answer: (a) an old man

---

Question 6.
What is a crick?
(a) A hill
(b) A little river
(c) A park
(d) A dress

Answer

Answer: (b) A little river

---

Question 7.
Roger Skunk’s smell makes ______ creatures run away
(a) Woodland
(b) Wood York
(c) Yorkshire
(d) Wood hills

Answer

Answer: (a) Woodland

---

Question 8.
Clare complains of in __ Jack’s coming down
(a) hesitation
(b) promptness
(c) enthusiasm
(d) delay

Answer

Answer: (d) delay

---

Question 9.
Jo wanted ___in the story the next day
(a) skunk to smell of roses
(b) skunk mommy to relent
(c) wizard to hit mommy
(d) animals to love skunk

Answer

Answer: (c) wizard to hit mommy

---

Question 10.
Mommy skunk was ___with the wizard?
(a) angry
(b) pleased
(c) indifferent
(d) civil

Answer

Answer: (a) angry

---

Question 11.
Roger’s daddy returns home from ___
(a) New York
(b) Boston
(c) Washington
(d) Reading

Answer

Answer: (b) Boston

---

Question 12.
Jo is now nearly ___ years old.
(a) 2
(b) 3
(c) 4
(d) 5

Answer

Answer: (c) 4

---

Question 13.
When the problem is solved ___ is demanded
(a) fee
(b) happiness
(c) nothing
(d) food

Answer

Answer: (a) fee

---

Question 14.
What did mommy skunk call the smell of roses?
(a) Pleasant
(b) Unusual
(c) Heavenly
(d) Awful

Answer

Answer: (d) Awful

---

Question 15.
What word does Jo mispronounce as evenshiladee?
(a) Evening
(b) Eventually
(c) Evasive
(d) Evacuation

Answer

Answer: (b) Eventually

---

Question 16.
He is advised to go to the ___
(a) Mommy
(b) Wizard
(c) Owl
(d) Skunk

Answer

Answer: (c) Owl

---

Question 17.
What is Jo a short form of?
(a) John
(b) Joe
(c) Joanne
(d) Jane

Answer

Answer: (c) Joanne

---

Question 18.
Jack narrates the story in the evenings and for ___ naps.
(a) Monday
(b) Saturday
(c) Sunday
(d) Tuesday

Answer

Answer: (b) Saturday

---

Question 19.
`Should Wizard hit mommy?’ is a ___ within a story.
(a) story
(b) digression
(c) metaphor
(d) moral

Answer

Answer: (a) story

---

Question 20.
__ was Jo’s brother
(a) Roger
(b) Bobby
(c) Skunk
(d) Jack

Answer

Answer: (a) Roger

---

Question 21.
What does a 4 year old child symbolise in the story?
(a) innocence
(b) smartness
(c) obstinacy
(d) none

Answer

Answer: (a) innocence

---

Question 22.
Why did Jo have a different opinion from her father?
(a) because she was a child
(b) because she was unable to see beyond facial expressions
(c) because she wanted a happy ending
(d) All these

Answer

Answer: (d) All these

---

Question 23.
Why did Roger want to change his smell?
(a) because no one liked him
(b) none was ready to play with him
(c) he smelt very badly and it made people cry
(d) All these

Answer

Answer: (d) All these

---

Question 24.
Why does Jo’s father has a different opinion from Jo?
(a) because Jo is a child
(b) because he has a mature thought
(c) he doesn’t go by facial expression
(d) All these

Answer

Answer: (d) All these

---

Question 25.
Who is Jo?
(a) A 4 years old girl who is curious to find unknown aspects of the stories told by her father
(b) a girl child
(c) a naughty girl
(d) A 4 years old girl who is curious to find unknown aspects of the stories told by her father

Answer

Answer: (d) A 4 years old girl who is curious to find unknown aspects of the stories told by her father

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CBSE Class 12 English - MCQ and Online Tests - Vistas - Unit 4 - The Enemy

CBSE Class 12 English – MCQ and Online Tests – Vistas – Unit 4 – The Enemy

Every year CBSE conducts board exams for 12th standard. These exams are very competitive to all the students. So our website provides online tests for all the 12th subjects. These tests are also very effective and useful for those who preparing for competitive exams like NEET, JEE, CA etc. It can boost their preparation level and confidence level by attempting these chapter wise online tests.

These online tests are based on latest CBSE Class 12 syllabus. While attempting these our students can identify the weak lessons and continuously practice those lessons for attaining high marks. It also helps to revise the NCERT textbooks thoroughly.

 

CBSE Class 12 English – MCQ and Online Tests – Vistas – Unit 4 – The Enemy

Question 1.
The day Sadao opened the soldier’s stitches, he
(a) called the police
(b) typed out a letter to the Chief of Police
(c) made him run away
(d) tied him up

Answer

Answer: (a) called the police

---

Question 2.
All the servants in Sadao’s household
(a) were happy with their master
(b) felt that he deserved a reward
(c) were very critical of him
(d) wanted him to let the soldier die

Answer

Answer: (c) were very critical of him

---

Question 3.
The American landlady had once helped Sadao when
(a) she nursed him through influenza
(b) she gave him food for a month
(c) she had mended his clothes
(d) had not taken rent for a month

Answer

Answer: (a) she nursed him through influenza

---

Question 4.
The recovering soldier was fed by
(a) Sadao
(b) Sadao’s servant
(c) Yumi
(d) Hana

Answer

Answer: (d) Hana

---

Question 5.
Sadao removed the bullet from close to soldiers
(a) heart
(b) liver lungs
(c) Kidney
(d) lungs

Answer

Answer: (c) Kidney

---

Question 6.
While Sadao operating upon the wounded soldier, Liana had to rush out to
(a) drink water
(b) rest for a while
(c) to vomit (retch)
(d) to check on the babies

Answer

Answer: (c) to vomit (retch)

---

Question 7.
Sadao got his reward when
(a) the prisoner could escape
(b) when he got an award from the government
(c) when his servants returned
(d) when his wife appreciated him

Answer

Answer: (a) the prisoner could escape

---

Question 8.
Sadao made the prisoner dress up in
(a) Korean clothes
(b) Chinese clothes
(c) Indian clothes
(d) Japanese clothes

Answer

Answer: (d) Japanese clothes

---

Question 9.
When Yumi, the servant refused to help Hana told her that
(a) she could get out of the house
(b) go back to the baby’s room
(c) go and cook food
(d) she and Sadao would hand him over as a prisoner after making him conscious

Answer

Answer: (d) she and Sadao would hand him over as a prisoner after making him conscious

---

Question 10.
The soldier had been
(a) stabbed
(b) shot
(c) beaten up
(d) slapped hard

Answer

Answer: (b) shot

---

Question 11.
The reaction of the servants, when told about the injured person, was
(a) they got angry
(b) they were frightened
(c) they were willing to help
(d) they ran away

Answer

Answer: (b) they were frightened

---

Question 12.
The young prisoner was asked to flash the light if food ran out
(a) twice
(b) thrice
(c) once
(d) not at all

Answer

Answer: (a) twice

---

Question 13.
The General only wanted Sadao to operate upon him because
(a) Sadao was very skilled
(b) General did not like any other doctor
(c) General was his close friend
(d) General did not want to go abroad for surgery

Answer

Answer: (a) Sadao was very skilled

---

Question 14.
The first treatment Sadao gave the wounded soldier was
(a) his wounds were washed
(b) he was operated upon
(c) he was fed
(d) his wounds were dressed

Answer

Answer: (a) his wounds were washed

---

Question 15.
When the assassins did not come, Sadao decided to
(a) kill the prisoner himself
(b) help him to escape
(c) hand him over to the police
(d) send him to America

Answer

Answer: (b) help him to escape

---

Question 16.
Both Sadao and Hana thought that keeping the wounded soldier in their house would
(a) win them a reward
(b) endanger all of them
(c) arouse police suspicion
(d) make the servants angry

Answer

Answer: (b) endanger all of them

---

Question 17.
He was not sent abroad with the troops because
(a) the General needed an operation
(b) his wife did not let him go
(c) he wanted to stay back
(d) his father did not allow him to go

Answer

Answer: (a) the General needed an operation

---

Question 18.
’Why are we different from other Japanese?’, this was said by
(a) the servant
(b) the General
(c) Sadao
(d) Hana

Answer

Answer: (d) Hana

---

Question 19.
The chief concern for Sadao’s father was
(a) Sadao’s wedding
(b) Sadao’s education
(c) Sadao’s migration
(d) Sadao’s treatment

Answer

Answer: (b) Sadao’s education

---

Question 20.
The name of the main character in ‘The Enemy’ is
(a) Dr Huen Tsang
(b) Dr Sadao Hoki
(c) Dr Chung Wa
(d) Dr Hao Chi

Answer

Answer: (d) Dr Hao Chi

---

Question 21.
The wounded soldier belonged to
(a) The Russian army
(b) U.S. Navy
(c) The British army
(d) The Japanese army

Answer

Answer: (b) U.S. Navy

---

Question 22.
At first, Sadao thought, he was an
(a) fisherman
(b) a criminal
(c) a politician
(d) a singer

Answer

Answer: (a) fisherman

---

Question 23.
Sadao met his wife in
(a) Japan
(b) China
(c) America
(d) India

Answer

Answer: (c) America

---

Question 24.
Sadao went to America to learn
(a) psychiatry
(b) surgery and medicine
(c) music
(d) fine arts

Answer

Answer: (b) surgery and medicine

---

Question 25.
Sadao and his wife had
(a) two children
(b) one child
(c) three children
(d) no children

Answer

Answer: (a) two children

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