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9th Class - Math | Chapter: Number Systems MCQs

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Q1) The value of \(\sqrt[4]{\sqrt[3]{2^{2}}}\) is equal to

(A) 2^{–\(\frac{1}{6}\)}

(B) 2^-6

(D) 2⁶

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Q2) Find the value of \(\sqrt[3]{\frac{54}{250}}\)

(A) \(\frac{9}{25}\)

(B) \(\frac{3}{5}\)

(D) \(\frac{\sqrt[3]2}{5}\)

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Q3) Simplified value of Simplified value of (16)^{–\(\frac{1}{4}\)} × \(\sqrt[4]{16}\) is

(A) 16

(B) 4

(D) 1

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Q4) Find the value of \(\sqrt[4]{64^{-2}}\).

(A) \(\frac{1}{8}\)

(B) \(\frac{1}{2}\)

(D) \(\frac{1}{64}\)

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Q5) Find the value of \(\sqrt[3]{216}\) – \(\sqrt[3]{125}\)

(A) 1

(B) -1

(D) \(\frac{6}{5}\)

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Q6) When 15\(\sqrt{15}\) is divided by 3√3 find the quotient.

(A) 5√3

(B) 3√5

(D) 3√3

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Q7) If √3 = 1.732 and √2 = 1.414, find the value of \(\frac{1}{√3-√2}\)

(A) 0.318

(B) 3.146

(D) \(\sqrt{1.732}\) – \(\sqrt{1.414}\)

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Q8) Which of the following numbers is an irrational number?

(A) \(\sqrt{16}\) – 4

(B) (3 – √3) (3 + √3)

(D) –\(\sqrt{25}\)

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Q9) The decimal expansion of √2 is

(A) finite decimal

(B) 1.4121

(D) non-terminating non-recurring

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Q10) If x = \(\frac{√7}{5}\) and \(\frac{5}{x}\) = p√7, then the value of p is

(A) \(\frac{5}{√7}\)

(B) \(\frac{25}{7}\)

(D) \(\frac{√7}{5}\)

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Q11) The sum of 0.\(\bar{3}\) and 0.\(\bar{2}\) is

(A) \(\frac{5}{99}\)

(B) \(\frac{5}{9}\)

(D) \(\frac{5}{100}\)

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Q12) (√a + √b) (√a – √b) is

(A) a + b

(B) a – b

(D) 2√b

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Q13) \(\sqrt{12}\) × √8 is equal to

(A) 2√6

(B) 3√6

(D) 6√6

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Q14) Find the value of \(\frac{2^0+7^0}{5^0}\)

(A) 2

(B) 0

(D) \(\frac{1}{5}\)

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Q15) A rational number lying between √2 and √3 is

(A) \(\frac{√2+√3}{2}\)

(B) √6

(D) 1.9

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Q16) The rational number between –\(\frac{1}{5}\) and –\(\frac{2}{5}\) is

(A) 4

(B) –\(\frac{1}{4}\)

(D) –\(\frac{7}{25}\)

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Q17) If 8^x = \(\frac{64}{2^x}\) then find the value of x.

(A) 4

(B) 2

(D) \(\frac{3}{2}\)

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Q18) The simplified value of (81)^{–\(\frac{1}{4}\)} × \(\sqrt[4]{81}\) × (81)^0.2 is

(A) 9

(B) 3

(D) 0

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Q19) Value of [(81^-1/2)^-1/4]² is

(A) 3

(B) \(\frac{1}{3}\)

(D) \(\frac{1}{9}\)

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Q20) If x^1/12 = 49^1/24 then find the value of x.

(A) 49

(B) 2

(D) 7

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9th Class - Math | Chapter: Number Systems MCQs

Q1) The value of \(\sqrt[4]{\sqrt[3]{2^{2}}}\) is equal to

Q2) Find the value of \(\sqrt[3]{\frac{54}{250}}\)

Q3) Simplified value of Simplified value of (16)^{–\(\frac{1}{4}\)} × \(\sqrt[4]{16}\) is

Q4) Find the value of \(\sqrt[4]{64^{-2}}\).

Q5) Find the value of \(\sqrt[3]{216}\) – \(\sqrt[3]{125}\)

Q6) When 15\(\sqrt{15}\) is divided by 3√3 find the quotient.

Q7) If √3 = 1.732 and √2 = 1.414, find the value of \(\frac{1}{√3-√2}\)

Q8) Which of the following numbers is an irrational number?

Q9) The decimal expansion of √2 is

Q10) If x = \(\frac{√7}{5}\) and \(\frac{5}{x}\) = p√7, then the value of p is

Q11) The sum of 0.\(\bar{3}\) and 0.\(\bar{2}\) is

Q12) (√a + √b) (√a – √b) is

Q13) \(\sqrt{12}\) × √8 is equal to

Q14) Find the value of \(\frac{2^0+7^0}{5^0}\)

Q15) A rational number lying between √2 and √3 is

Q16) The rational number between –\(\frac{1}{5}\) and –\(\frac{2}{5}\) is

Q17) If 8^x = \(\frac{64}{2^x}\) then find the value of x.

Q18) The simplified value of (81)^{–\(\frac{1}{4}\)} × \(\sqrt[4]{81}\) × (81)^0.2 is

Q19) Value of [(81^-1/2)^-1/4]² is

Q20) If x^1/12 = 49^1/24 then find the value of x.

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Chapters (Math)