Assertion and Reason Questions for Class 9 Maths Chapter 1 Number System

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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)

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 + √3 and 4 + √3 is irrational number.
Reason: Sum of two irrational numbers is always an irrational number.

Answer Answer: (c)

Q.6. Assertion: 78 ÷ 74 = 74 
Reason: If a > 0 be a real number and p and q be rational numbers. Then ap x aq = ap+q 

Answer Answer: (b)

Q.7. Assertion: √5 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√5 is 3-2√5.
Reason: If the product of two irrational numbers is rational then each one is called the rationalizing factor of the other

Answer Answer: (a)

Q.9. Assertion: 113 x 114 = 1112 
Reason: If a > 0 be a real number and p and q be rational numbers. Then ap x aq = ap+q 

Answer Answer: (d)

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