CBSE Class 9 Maths – MCQ and Online Tests – Unit 1 – Number Systems
Every year CBSE schools conducts Annual Assessment exams for 6,7,8,9,11th standards. These exams are very competitive to all the students. So our website provides online tests for all the 6,7,8,9,11th standard’s subjects. These tests are also very effective and useful for those who preparing for any competitive exams like Olympiad 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 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 9 Maths – MCQ and Online Tests – Unit 1 – Number Systems
Question 1.
If x = \(\frac{v7}{5}\) and \(\frac{5}{x}\) = pv7, then the value of p is
(?) \(\frac{5}{v7}\)
(b) \(\frac{25}{7}\)
(c) \(\frac{7}{25}\)
(d) \(\frac{v7}{5}\)
Answer
Answer: (b) \(\frac{25}{7}\)
Question 2.
Find the value of \(\sqrt[3]{216}\) – \(\sqrt[3]{125}\)
(a) 1
(b) -1
(c) \(\sqrt[3]{91}\)
(d) \(\frac{6}{5}\)
Answer
Answer: (a) 1
Question 3.
When 15\(\sqrt{15}\) is divided by 3v3 find the quotient.
(a) 5v3
(b) 3v5
(c) 5v5
(d) 3v3
Answer
Answer: (c) 5v5
Question 4.
If v3 = 1.732 and v2 = 1.414, find the value of \(\frac{1}{v3-v2}\)
(a) 0.318
(b) 3.146
(c) \(\frac{1}{3.146}\)
(d) \(\sqrt{1.732}\) – \(\sqrt{1.414}\)
Answer
Answer: (b) 3.146
Question 5.
Which of the following numbers is an irrational number?
(a) \(\sqrt{16}\) – 4
(b) (3 – v3) (3 + v3)
(c) v5 + 3
(d) –\(\sqrt{25}\)
Answer
Answer: (c) v5 + 3
Question 6.
The decimal expansion of v2 is
(?) finite decimal
(b) 1.4121
(c) non-terminating recurring
(d) non-terminating non-recurring
Answer
Answer: (d) non-terminating non-recurring
Question 7.
Value of [(81-1/2)-1/4]² is
(a) 3
(b) \(\frac{1}{3}\)
(c) 9
(d) \(\frac{1}{9}\)
Answer
Answer: (a) 3
Question 8.
The value of \(\sqrt[4]{\sqrt[3]{2^{2}}}\) is equal to
(a) 2–\(\frac{1}{6}\)
(b) 2-6
(c) 2\(\frac{1}{6}\)
(d) 26
Answer
Answer: (c) 2\(\frac{1}{6}\)
Question 9.
Find the value of \(\sqrt[3]{\frac{54}{250}}\)
(a) \(\frac{9}{25}\)
(b) \(\frac{3}{5}\)
(c) \(\frac{27}{125}\)
(d) \(\frac{\sqrt[3]2}{5}\)
Answer
Answer: (b) \(\frac{3}{5}\)
Question 10.
(va + vb) (va – vb) is
(a) a + b
(b) a – b
(c) 2va
(d) 2vb
Answer
Answer: (b) a – b
Question 11.
If x1/12 = 491/24 then find the value of x.
(a) 49
(b) 2
(c) 12
(d) 7
Answer
Answer: (d) 7
Question 12.
\(\sqrt{12}\) × v8 is equal to
(a) 2v6
(b) 3v6
(c) 4v6
(d) 6v6
Answer
Answer: (c) 4v6
Question 13.
Find the value of \(\frac{2^0+7^0}{5^0}\)
(a) 2
(b) 0
(c) \(\frac{9}{5}\)
(d) \(\frac{1}{5}\)
Answer
Answer: (a) 2
Question 14.
A rational number lying between v2 and v3 is
(a) \(\frac{v2+v3}{2}\)
(b) v6
(c) 1.6
(d) 1.9
Answer
Answer: (c) 1.6
Question 15.
Find the value of \(\sqrt[4]{64^{-2}}\).
(a) \(\frac{1}{8}\)
(b) \(\frac{1}{2}\)
(c) 8
(d) \(\frac{1}{64}\)
Answer
Answer: (a) \(\frac{1}{8}\)
Question 16.
The rational number between –\(\frac{1}{5}\) and –\(\frac{2}{5}\) is
(a) 4
(b) –\(\frac{1}{4}\)
(c) –\(\frac{3}{10}\)
(d) –\(\frac{7}{25}\)
Answer
Answer: (c) –\(\frac{3}{10}\)
Question 17.
If 8x = \(\frac{64}{2^x}\) then find the value of x.
(a) 4
(b) 2
(c) \(\frac{1}{2}\)
(d) \(\frac{3}{2}\)
Answer
Answer: (d) \(\frac{3}{2}\)
Question 18.
Simplified value of (16)–\(\frac{1}{4}\) × \(\sqrt[4]{16}\) is
(a) 16
(b) 4
(c) 1
(d) 0
Answer
Answer: (c) 1
Question 19.
The simplified value of (81)–\(\frac{1}{4}\) × \(\sqrt[4]{81}\) × (81)0.2 is
(a) 9
(b) 3
(c) 1
(d) 0
Answer
Answer: (a) 9
Question 20.
The sum of 0.\(\bar{3}\) and 0.\(\bar{2}\) is
(?) \(\frac{5}{99}\)
(b) \(\frac{5}{9}\)
(c) \(\frac{5}{10}\)
(d) \(\frac{5}{100}\)
Answer
Answer: (b) \(\frac{5}{9}\)
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