May 2026

Assertion Reason MCQ on √2 and Number Properties Question Statement-1 (Assertion): \( \sqrt{2} \) is an irrational number. Statement-2 (Reason): The sum of a rational number and an irrational number is an irrational number. Options: (a) Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1. (b) Statement-1 is true, Statement-2 is […]

Assertion Reason MCQ on √3 Irrational Question Statement-1 (Assertion): \( \sqrt{3} \) is an irrational number. Statement-2 (Reason): The square root of a positive integer which is not a perfect square is an irrational number. Options: (a) Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1. (b) Statement-1 is true, Statement-2

Assertion Reason MCQ on Irrational Numbers Product Question Statement-1 (Assertion): The product of any two irrational numbers is an irrational number. Statement-2 (Reason): There are two irrational numbers whose product is not an irrational number. Options: (a) Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1. (b) Statement-1 is true, Statement-2

Assertion Reason MCQ on Irrational Numbers Question Statement-1 (Assertion): The sum of any two irrational numbers is an irrational number. Statement-2 (Reason): There are two irrational numbers whose sum is a rational number. Options: (a) Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1. (b) Statement-1 is true, Statement-2 is true;

Assertion Reason MCQ on √2 Irrational Question Statement-1 (Assertion): \( \sqrt{2} \) is an irrational number. Statement-2 (Reason): The decimal expansion of \( \sqrt{2} \) is non-terminating and non-recurring. Options: (a) Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1. (b) Statement-1 is true, Statement-2 is true; Statement-2 is not a

Make 1/3 Terminating Decimal MCQ Question The smallest rational number by which \( \frac{1}{3} \) should be multiplied so that its decimal expansion terminates after one place of decimal is: (a) \( \frac{1}{10} \) (b) \( \frac{3}{10} \) (c) 3 (d) 30 Solution We want: \[ \frac{1}{3} \times x = \text{terminating decimal with one decimal

Trailing Zeros in Product MCQ Question The number of consecutive zeroes in \(2^3 \times 3^4 \times 5^4 \times 7\) is: (a) 3 (b) 2 (c) 4 (d) 5 Solution Trailing zeros are formed by factors of \(10 = 2 \times 5\). Count the number of 2s and 5s: \[ 2^3 \Rightarrow 3 \text{ factors of

Irrational Number Between 2 and 2.5 MCQ Question An irrational number between \(2\) and \(2.5\) is: (a) \( \sqrt{11} \) (b) \( \sqrt{5} \) (c) \( \sqrt{22.5} \) (d) \( \sqrt{12.5} \) Solution Square the interval: \[ 2^2 = 4, \quad (2.5)^2 = 6.25 \] So we need a number whose square lies between 4

Sum of 0.23 Bar and 0.22 Bar Question The value of \(0.\overline{23} + 0.\overline{22}\) is: (a) 0.45 (b) 0.43 (c) 0.54 (d) 0.45 Solution Convert recurring decimals into fractions: \[ 0.\overline{23} = \frac{23}{99} \] \[ 0.\overline{22} = \frac{22}{99} \] Add them: \[ \frac{23}{99} + \frac{22}{99} = \frac{45}{99} \] Simplify: \[ \frac{45}{99} = \frac{5}{11} \] Convert

Convert 0.01 Bar into Fraction MCQ Question The number \(0.\overline{01}\) in the form \( \frac{p}{q} \), where \( q \neq 0 \), is: (a) \( \frac{1}{1000} \) (b) \( \frac{1}{100} \) (c) \( \frac{1}{1999} \) (d) \( \frac{1}{99} \) Solution Let \( x = 0.\overline{01} = 0.010101\ldots \) Multiply both sides by 100: \[ 100x