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## Thursday, 25 February 2021

### CBSE Class 7 Maths - MCQ and Online Tests - Unit 2 - Fractions and Decimals

#### CBSE Class 7 Maths – MCQ and Online Tests – Unit 2 – Fractions and Decimals

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#### CBSE Class 7 Maths – MCQ and Online Tests – Unit 2 – Fractions and Decimals

Question 1.
what is $$\frac { 1 }{ 2 }$$ of $$\frac { 10 }{ 7 }$$ ?
(a) $$\frac{5}{7}$$
(b) $$\frac{3}{7}$$
(c) $$\frac{6}{7}$$
(d) $$\frac{4}{7}$$

Answer: (a) $$\frac{5}{7}$$
Hint:
$$\frac{1}{2}$$ of $$\frac{10}{7}$$ = $$\frac{1}{2}$$ в $$\frac{10}{7}$$ = $$\frac{1в10}{2в7}$$ = $$\frac{5}{7}$$

Question 2.
what is $$\frac { 1 }{ 4 }$$ of 5 $$\frac { 1 }{ 3 }$$ of ?
(a) $$\frac{1}{3}$$
(b) $$\frac{2}{3}$$
(c) $$\frac{4}{3}$$
(d) None of these

Answer: (c) $$\frac{4}{3}$$
Hint:
$$\frac{1}{4}$$ of 5$$\frac{1}{3}$$ = $$\frac{1}{4}$$ of $$\frac{16}{3}$$ = $$\frac{1}{4}$$ в $$\frac{16}{3}$$ = $$\frac{1в16}{4в3}$$ = $$\frac{4}{3}$$

Question 3.
Which of the following is an improper fraction?
(a) $$\frac{1}{12}$$
(b) $$\frac{5}{9}$$
(c) $$\frac{4}{13}$$
(d) $$\frac{7}{2}$$

Answer: (d) $$\frac{7}{2}$$
Hint:
7 > 2

Question 4.
Which of the following is a mixed fraction?
(a) $$\frac{2}{17}$$
(b) $$\frac{3}{14}$$
(c) $$\frac{5}{27}$$
(d) 2$$\frac{13}{15}$$

Answer: (d) 2$$\frac{13}{15}$$
Hint:
2$$\frac{13}{15}$$

Question 5.
The improper fraction $$\frac { 33 }{ 4 }$$ in the form of a mixed fraction is
(a) 8$$\frac{1}{4}$$
(b) 4$$\frac{1}{8}$$
(c) 3$$\frac{8}{4}$$
(d) 4$$\frac{7}{8}$$

Answer: (a) 8$$\frac{1}{4}$$
Hint:
$$\frac{33}{4}$$ = $$\frac{32+1}{4}$$ = $$\frac{32}{4}$$ + $$\frac{1}{4}$$ = 8 + $$\frac{1}{4}$$ = 8$$\frac{1}{4}$$

Question 6.
Which of the following is not an equiva-lent fraction of $$\frac { 3 }{ 5 }$$ ?
(a) $$\frac{6}{10}$$
(b) $$\frac{9}{15}$$
(c) $$\frac{12}{20}$$
(d) $$\frac{15}{24}$$

Answer: (d) $$\frac{15}{24}$$
Hint:
$$\frac{3}{5}$$ = $$\frac{3в2}{5в2}$$ = $$\frac{6}{10}$$; $$\frac{3}{5}$$ = $$\frac{3в3}{5в3}$$ = $$\frac{9}{15}$$
$$\frac{3}{5}$$ = $$\frac{3в4}{5в4}$$ = $$\frac{12}{20}$$; $$\frac{3}{5}$$ = $$\frac{3в5}{5в5}$$ = $$\frac{15}{25}$$ = $$\frac{15}{25}$$

Question 7.
Which of the following is an equivalent fraction of $$\frac { 2 }{ 3 }$$ ?
(a) $$\frac{4}{9}$$
(b) $$\frac{6}{13}$$
(c) $$\frac{8}{11}$$
(d) $$\frac{10}{15}$$

Answer: (d) $$\frac{10}{15}$$
Hint:
$$\frac{2}{3}$$ = $$\frac{2в5}{3в5}$$ = $$\frac{10}{15}$$

Question 8.
Which of the following fraction?
(a) $$\frac{7}{4}$$
(b) $$\frac{19}{4}$$
(c) $$\frac{14}{5}$$
(d) $$\frac{4}{11}$$

Answer: (d) $$\frac{4}{11}$$
Hint:
4 < 11

Question 9.
Which of the following fraction?
(a) $$\frac{17}{3}$$
(b) $$\frac{43}{12}$$
(c) $$\frac{15}{11}$$
(d) $$\frac{4}{5}$$

Answer: (d) $$\frac{4}{5}$$
Hint:
4 < 5

Question 10.
Which of the following is an improper fraction?
(a) $$\frac{2}{7}$$
(b) $$\frac{1}{2}$$
(c) $$\frac{2}{3}$$
(d) $$\frac{73}{10}$$

Answer: (d) $$\frac{73}{10}$$
Hint:
73 > 10

Question 11.
$$\frac { 1 }{ 2 }$$ – $$\frac { 1 }{ 4 }$$ is equal to
(a) $$\frac{1}{2}$$
(b) $$\frac{1}{8}$$
(c) $$\frac{1}{3}$$
(d) $$\frac{1}{4}$$

Answer: (d) $$\frac{1}{4}$$
Hint:
$$\frac{1}{2}$$ – $$\frac{1}{4}$$ = $$\frac{2}{4}$$ – $$\frac{1}{4}$$ = $$\frac{2-1}{4}$$ + $$\frac{1}{4}$$

Question 12.
Apala ate $$\frac { 3 }{ 5 }$$ of an orange. The remaining orange was eaten by Meenu. What part of the orange was eaten by Meenu?
(a) $$\frac{1}{5}$$
(b) $$\frac{2}{5}$$
(c) $$\frac{3}{5}$$
(d) None of these

Answer: (b) $$\frac{2}{5}$$
Hint:
1 – $$\frac{3}{5}$$ = $$\frac{5}{3}$$ – $$\frac{3}{5}$$ = $$\frac{5-3}{5}$$ = $$\frac{2}{5}$$

Question 13.
The side of an equilateral triangle is $$\frac { 1 }{ 2 }$$ cm. The perimeter of the triangle is
(a) 1 cm
(b) 2 cm
(c) $$\frac{3}{2}$$
(d) None of these

Answer: (c) $$\frac{3}{2}$$
Hint:
Perimeter = $$\frac{1}{2}$$ + $$\frac{1}{2}$$ + $$\frac{1}{2}$$ = $$\frac{1+1+1}{2}$$
= $$\frac{2}{2}$$ cm.

Question 14.
The side of a square is $$\frac { 1 }{ 2 }$$ cm. The perimeter of the square is
(a) 1 cm
(b) 2 cm
(c) 1$$\frac{1}{2}$$
(d) 2$$\frac{1}{2}$$

Hint:
Perimeter = $$\frac{1}{2}$$ + $$\frac{1}{2}$$ + $$\frac{1}{2}$$ + $$\frac{1}{2}$$
= $$\frac{1+1+1+1}{2}$$ = $$\frac{4}{2}$$ = 2 cm.

Question 15.
Manish worked for $$\frac { 1 }{ 2 }$$ an hour. Yash worked for $$\frac { 1 }{ 4 }$$ of an hour. For how much time did both work together?
(a) 1 hour
(b) $$\frac{3}{4}$$
(c) $$\frac{5}{4}$$
(d) $$\frac{3}{2}$$

Answer: (b) $$\frac{3}{4}$$
Hint:
$$\frac{1}{2}$$ + $$\frac{1}{4}$$ = $$\frac{2}{4}$$ + $$\frac{1}{4}$$
= $$\frac{2+1}{2}$$ = $$\frac{3}{4}$$

Question 16.
The length of a rectangular sheet of paper is $$\frac { 3 }{ 5 }$$ cm and the breadth is $$\frac { 2 }{ 5 }$$ cm. What is the perimeter of the paper?
(a) 1 cm
(b) 2 cm
(c) 3 cm
(d) 4 cm

Hint:
Perimeter = 2($$\frac{3}{5}$$ + $$\frac{2}{5}$$) = 2($$\frac{3+2}{5}$$)
= 2($$\frac{5}{5}$$) = 2(1) = 2 cm

Question 17.
Lipika reads 1 $$\frac { 1 }{ 2 }$$ hours daily. Preeti reads $$\frac { 1 }{ 2 }$$ hour daily. How much hours they read for in one day?
(a) 1 hour
(b) 2 hour
(c) 1$$\frac{1}{2}$$
(d) 2$$\frac{1}{2}$$

Hint:
1$$\frac{1}{2}$$ + $$\frac{1}{2}$$ = $$\frac{3}{2}$$ + $$\frac{1}{2}$$
= $$\frac{3+1}{2}$$ = $$\frac{4}{2}$$ = 2 hours

Question 18.
2 в $$\frac { 5 }{ 3 }$$ is equal to
(a) $$\frac{7}{3}$$
(b) $$\frac{11}{3}$$
(c) $$\frac{13}{3}$$
(d) $$\frac{10}{3}$$

Answer: (d) $$\frac{10}{3}$$
Hint:
2 в $$\frac{5}{3}$$ = $$\frac{2в5}{3}$$ = $$\frac{10}{3}$$

Question 19.
$$\frac { 7 }{ 5 }$$ в 4 is equal to
(a) $$\frac{21}{5}$$
(b) $$\frac{22}{5}$$
(c) $$\frac{28}{5}$$
(d) $$\frac{23}{5}$$

Answer: (c) $$\frac{28}{5}$$
Hint:
$$\frac{7}{5}$$ в 4 = $$\frac{7в4}{5}$$ = $$\frac{28}{5}$$

Question 20.
what is $$\frac { 1 }{ 2 }$$ of 8 ?
(a) 1
(b) 2
(c) 3
(d) 4

Hint:
$$\frac{1}{2}$$ of 8 = $$\frac{1}{2}$$ в 8 = $$\frac{1в8}{2}$$ = $$\frac{8}{2}$$ = 4

Question 21.
what is $$\frac { 1 }{ 3 }$$ of 9 ?
(a) 1
(b) 2
(c) 3
(d) 9

Hint:
$$\frac{1}{3}$$ of 9 = $$\frac{1}{3}$$ в 9 = $$\frac{1в9}{3}$$ = $$\frac{9}{3}$$ = 3

Question 22.
what is $$\frac { 3 }{ 5 }$$ of 25 ?
(a) 5
(b) 10
(c) 15
(d) 20

Hint:
$$\frac{3}{5}$$ of 25 = $$\frac{3}{5}$$ в 25 = $$\frac{3в25}{5}$$ = $$\frac{75}{5}$$ = 15

Question 23.
what is $$\frac { 3 }{ 4 }$$ of 24 ?
(a) 12
(b) 18
(c) 16
(d) 20

Hint:
$$\frac{3}{4}$$ of 24 = $$\frac{3}{4}$$ в 24 = $$\frac{3в24}{4}$$ = $$\frac{72}{4}$$ = 18

Question 24.
There are 40 students in a class. $$\frac { 1 }{ 2 }$$ of the total number of students are Hindus. The number of Hindus is
(a) 10
(b) 20
(c) 30
(d) 40

Hint:
Number of Hindus = $$\frac{1}{2}$$ of 40 = $$\frac{1}{2}$$ в 40
= $$\frac{1в40}{2}$$ = $$\frac{40}{2}$$ = 20

Question 25.
By what fraction should be multiply $$\frac { 4 }{ 5 }$$ to get $$\frac { 16 }{ 35 }$$ ?
(a) $$\frac{4}{7}$$
(b) $$\frac{7}{4}$$
(c) $$\frac{4}{5}$$
(d) $$\frac{16}{35}$$

Answer: (a) $$\frac{4}{7}$$
Hint:
Required fraction = $$\frac{16}{35}$$ В $$\frac{4}{5}$$ = $$\frac{16}{35}$$ в $$\frac{5}{4}$$
= $$\frac{16в5}{35в4}$$ = $$\frac{4}{7}$$

Question 26.
5 В $$\frac { 5 }{ 2 }$$ is equal to
(a) 1
(b) 2
(c) 5
(d) 3

Hint:
5 В $$\frac{5}{2}$$ = 5 в $$\frac{2}{5}$$ = $$\frac{5в2}{5}$$ = 2

Question 27.
$$\frac { 1 }{ 3 }$$ В $$\frac { 5 }{ 3 }$$ is equal to
(a) $$\frac{1}{3}$$
(b) $$\frac{5}{3}$$
(c) $$\frac{1}{5}$$
(d) None of these

Answer: (c) $$\frac{1}{5}$$
Hint:
$$\frac{1}{3}$$ В $$\frac{5}{3}$$ = $$\frac{1}{3}$$ в $$\frac{3}{5}$$ = $$\frac{1в3}{3в5}$$ = $$\frac{1}{5}$$

Question 28.
$$\frac { 1 }{ 2 }$$ В 4 is equal to
(a) $$\frac{1}{8}$$
(b) $$\frac{1}{4}$$
(c) $$\frac{1}{2}$$
(d) $$\frac{1}{6}$$

Answer: (a) $$\frac{1}{8}$$
Hint:
$$\frac{1}{2}$$ В 4 = $$\frac{1}{2}$$ в $$\frac{1}{4}$$ = $$\frac{1в1}{2в4}$$ = $$\frac{1}{8}$$

Question 29.
3 $$\frac { 1 }{ 3 }$$ В 10 is equal to
(a) $$\frac{1}{2}$$
(b) $$\frac{1}{3}$$
(c) $$\frac{1}{4}$$
(d) $$\frac{1}{5}$$

Answer: (b) $$\frac{1}{3}$$
Hint:
3$$\frac{1}{3}$$ В 10 = $$\frac{10}{3}$$ В 10 = $$\frac{10}{3}$$ в $$\frac{1}{10}$$ = $$\frac{10в1}{3в10}$$ = $$\frac{1}{3}$$

Question 30.
A water bottle contains 2 litres of water. Meenu drank $$\frac { 1 }{ 8 }$$ of water. How much water did Meenu drink?
(a) $$\frac{1}{2}$$ litre
(b) $$\frac{1}{8}$$ litre
(c) $$\frac{1}{4}$$ litre
(d) None of these

Answer: (c) $$\frac{1}{4}$$ litre
Hint:
Meenu drank water = $$\frac{1}{8}$$ of 2 = $$\frac{1}{8}$$ в 2
= $$\frac{1в2}{8}$$ = $$\frac{2}{8}$$ = $$\frac{1}{4}$$ litre

Question 31.
A car runs 20 km using 1 litre of petrol. How much distance will it cover in 1 $$\frac { 1 }{ 4 }$$ litre of petrol ?
(a) 25 km
(b) 30 km
(c) 36 km
(d) 40 km

Hint:
Required distance = 20 в 1$$\frac{1}{4}$$ = 20 в $$\frac{5}{4}$$
= $$\frac{20в5}{4}$$ = $$\frac{100}{4}$$ = 25 km

Question 32.
14 В $$\frac { 7 }{ 2 }$$ is equal to
(a) 1
(b) 2
(c) 3
(d) 4

Hint:
14 В $$\frac{7}{2}$$ = 14 в $$\frac{2}{7}$$ = $$\frac{14в2}{7}$$ = 4

Question 33.
0.6 В 3 is equal to
(a) 10.6 km
(b) 20.6 km
(c) 30.6 km
(d) 10 km

Hint:
6 В 3 = 2 ? 0.6 В 3 = 0.2

Question 34.
2.5 В 100 is equal to
(a) 0.025
(b) 0.25
(c) 25
(d) 250

Hint:
2.5 В 100 = $$\frac{25}{10}$$ в $$\frac{1}{100}$$ = $$\frac{25}{1000}$$ = 0.025

Question 35.
1.44 В 1.2 is equal to
(a) 1.2
(b) 12
(c) 0.12
(d) 120

Hint:
1.44 В 1.2 = $$\frac{144}{100}$$ В $$\frac{12}{10}$$ = $$\frac{144}{100}$$ в $$\frac{10}{12}$$ = $$\frac{12}{10}$$ = 1.2
or
$$\frac{1.44}{1.2}$$ в $$\frac{144}{120}$$ = $$\frac{12}{10}$$ = 1.2

Question 36.
5 paise is equal to
(a) Rs 0.5
(b) Rs 0.05
(c) Rs 0.005
(d) Rs 0.0005

Hint:
5 paise = Rs $$\frac{5}{100}$$ = Rs 0.05

Question 37.
5 cm is equal to
(a) 0.005 km
(b) 0.00005 km
(c) 0.000005 km
(d) None of these

Hint:
5 cm = $$\frac{5}{100}$$ m = 0.05 m = $$\frac{0.05}{100}$$ km = 0.00005 km

Question 38.
1.25 в 5 is equal to
(a) 62.5
(b) 6.25
(c) 31.25
(d) 0.625

Hint:
125 в 5 = 625 ? 1.25 в 5 = 6.25.

Question 39.
0.01 в 1000 is equal to
(a) 1
(b) 0.1
(c) 0.01
(d) 10

Hint:
1 в 1000 = 1000
0.01 в 1000 = 10.

Question 40.
150 g is equal to
(a) 0.15 kg
(b) 0.015 kg
(c) 0.0015 kg
(d) 0.00015 kg

Hint:
1 kg = 1000 gm; 150 g = $$\frac{150 gm}{100}$$ kg = 0.15 kg

Question 41.
The place value of 2 in 2.38 is
(a) 1
(b) 2
(c) 20
(d) 0.2

Hint:
2 is the unit▓s digit in integral part.
? Place value = 2 в 1 = 2.

Question 42.
The place value of 2 in 5.32 is
(a) 2
(b) 0.2
(c) 0.02
(d) 0.002.

Hint:
2 is the hundredth▓s digit in the decimal part.
? Place value = 2 в $$\frac{1}{100}$$ = 0.02.

Question 43.
How much less is 10 km than 30.6 km?
(a) 10.6 km
(b) 20.6 km
(c) 30.6 km
(d) 10 km

Hint:
30.6 – 10.0 = 20.6

Question 44.
Find: 2.5 в 4
(a) 10
(b) 5
(c) 8
(d) 12

Hint:
25 в 4 = 100 ? 2.5 в 4 = 10.

Question 45.
Find: 1.2 в 1.2
(a) 144
(b) 14.4
(c) 1.44
(d) none of these

Hint:
12 в 12 = 144 ? 1.2 в 1.2 = 1.44.

Question 46.
1.2 в 10 is equal to
(a) 12
(b) 120
(c) 0.12
(d) none of these

Hint:
12 в 10 = 120 ?1.2 в 10 = 12.

Question 47.
0.6 в 100 is equal to
(a) 6
(b) 60
(c) 600
(d) 0.06

Hint:
6 в 100 = 600 ? 0.6 в 100 = 60.

Question 48.
1 – $$\frac { 1 }{ 5 }$$ is equal to
(a) $$\frac{2}{5}$$
(b) $$\frac{3}{5}$$
(c) $$\frac{4}{5}$$
(d) $$\frac{1}{5}$$

Answer: (c) $$\frac{4}{5}$$
Hint:
1 – $$\frac{1}{5}$$ = $$\frac{5}{5}$$ – $$\frac{1}{5}$$ = $$\frac{5-1}{5}$$ = $$\frac{4}{5}$$

Question 49.
2 + $$\frac { 1 }{ 4 }$$ is equal to
(a) $$\frac{7}{4}$$
(b) $$\frac{9}{4}$$
(c) $$\frac{5}{4}$$
(d) $$\frac{11}{4}$$

Answer: (b) $$\frac{9}{4}$$
Hint:
2 + $$\frac{1}{4}$$ = $$\frac{2}{1}$$ + $$\frac{1}{4}$$ = $$\frac{2в4}{1в4}$$ + $$\frac{1}{4}$$
= $$\frac{8}{4}$$ + $$\frac{1}{4}$$ = $$\frac{8+1}{4}$$ + $$\frac{9}{4}$$

Question 50.
$$\frac { 1 }{ 2 }$$ + $$\frac { 1 }{ 3 }$$ is equal to
(a) $$\frac{1}{6}$$
(b) $$\frac{5}{6}$$
(c) $$\frac{7}{6}$$
(d) $$\frac{11}{6}$$

Answer: (b) $$\frac{5}{6}$$
Hint:
$$\frac{1}{2}$$ + $$\frac{1}{3}$$ = $$\frac{3}{6}$$ + $$\frac{2}{6}$$ = $$\frac{3+2}{6}$$ + $$\frac{5}{6}$$

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