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Assertion and Reason Questions for Class 9 Maths Chapter 1 Number System, , Directions: In the following questions, a statement of assertion (A) is followed by a, statement of reason (R). Mark the correct choice as:, , (a) Both assertion (A) and reason (R) are true and reason (R) is the correct explanation, of assertion (A)., , (b) Both assertion (A) and reason (R) are true but reason (R) is not the correct, explanation of assertion (A)., , (C) Assertion (A) is true but reason (R) is false., , (d) Assertion (A) is false but reason (R) is true., , Q.1. Assertion: Rational number lying between 1/4 and 1/2 is 3/8., , Reason: Rational number lying between two rational numbers x and y is (x+y)/2, , Answer, , Answer: (c), , Q.2. Assertion: 0.329 is a terminating decimal., Reason: A decimal in which a digit or a set of digits is repeated periodically, is called a, , repeating, or a recurring decimal., , Answer, , Answer: (b), , Q.3. Assertion: Rational number lying between two rational numbers x and y is, , (x+y) /2., , Reason: There is one rational number lying between any two rational numbers., , Answer, , Answer: (c)

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Q.4. Assertion: 5 is a rational number., , Reason: The square roots of all positive integers are irrationals., , Answer, , Answer: (c), , Q.5. Assertion: Sum of two irrational numbers 2 + J 3 and 4+ 3 is irrational number., , Reason: Sum of two irrational numbers is always an irrational number., , Answer, , Answer: (c), , Q.6. Assertion: Pray", , Reason: If a> 0 be a real number and p and q be rational numbers. Then aP x a1 = aP*4, , Answer, , Answer: (b), , Q.7. Assertion: V5 is an irrational number., Reason: A number is called irrational, if it cannot be written in the form p/q, where p, , and q are integers and q#0, , Answer, , Answer: (a), , Q.8. Assertion: the rationalizing factor of 3+2 V5 is 3-275., Reason: If the product of two irrational numbers is rational then each one is called the, , rationalizing factor of the other, , Answer, , Answer: (a)

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Q.9. Assertion: 11° x 114 = 117, , Reason: If a> 0 be a real number and p and q be rational numbers. Then aP x al = aP*4, , Answer, , Answer: (d)