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CH 1 Assertion Reason

The document contains 9 questions that provide an assertion (A) and reason (R) for that assertion. For each question, the reader must choose the correct answer that describes the relationship between the assertion and reason from the following options: (a) both A and R are true and R correctly explains A, (b) both A and R are true but R does not correctly explain A, (C) A is true but R is false, or (d) A is false but R is true. The questions cover topics about rational and irrational numbers, decimals, and properties of real numbers.

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Vineet Singh
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6K views2 pages

CH 1 Assertion Reason

The document contains 9 questions that provide an assertion (A) and reason (R) for that assertion. For each question, the reader must choose the correct answer that describes the relationship between the assertion and reason from the following options: (a) both A and R are true and R correctly explains A, (b) both A and R are true but R does not correctly explain A, (C) A is true but R is false, or (d) A is false but R is true. The questions cover topics about rational and irrational numbers, decimals, and properties of real numbers.

Uploaded by

Vineet Singh
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as DOCX, PDF, TXT or read online on Scribd
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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

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

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

Q.4. Assertion: 5 is a rational number. 


Reason: The square roots of all positive integers are irrationals.

Answer

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

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

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

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

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

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