Assertion Reasoning Quiz

Question 1 of 6

Assertion (A):
The product of two negative integers is always a positive integer.
Reason (R):
Subtracting a negative integer is mathematically equivalent to adding a positive integer.

A Both Assertion (A) and Reason (R) are true, and R is the correct explanation of A. B Both Assertion (A) and Reason (R) are true, but R is NOT the correct explanation of A. C Assertion (A) is true, but Reason (R) is false. D Assertion (A) is false, but Reason (R) is true.

Select one option. Answers are shown after the test.

Question 2 of 6

Assertion (A):
The rational numbers \(-\frac{3}{4}\) and \(-\frac{15}{20}\) represent the exact same point on the number line.
Reason (R):
Multiplying or dividing both the numerator and denominator of a rational number by the same non-zero integer yields an equivalent rational number.

A Both Assertion (A) and Reason (R) are true, and R is the correct explanation of A. B Both Assertion (A) and Reason (R) are true, but R is NOT the correct explanation of A. C Assertion (A) is true, but Reason (R) is false. D Assertion (A) is false, but Reason (R) is true.

Select one option. Answers are shown after the test.

Question 3 of 6

Assertion (A):
The rational number \(\frac{7}{250}\) has a terminating decimal expansion.
Reason (R):
The prime factorization of the denominator 250 consists exclusively of powers of 2 and 5.

A Both Assertion (A) and Reason (R) are true, and R is the correct explanation of A. B Both Assertion (A) and Reason (R) are true, but R is NOT the correct explanation of A. C Assertion (A) is true, but Reason (R) is false. D Assertion (A) is false, but Reason (R) is true.

Select one option. Answers are shown after the test.

Question 4 of 6

Higher-order reasoning
Assertion (A): Every non-terminating decimal is irrational.
Reason (R): Some non-terminating decimals repeat a fixed block and therefore represent rational numbers.

A Both Assertion and Reason are true, and Reason is the correct explanation of Assertion. B Both Assertion and Reason are true, but Reason is not the correct explanation of Assertion. C Assertion is true, but Reason is false. D Assertion is false, but Reason is true.

Select one option. Answers are shown after the test.

Question 5 of 6

Higher-order reasoning
Assertion (A): The product of two irrational numbers is always irrational.
Reason (R): \(\sqrt{2}\times \sqrt{2}=2\).

A Both Assertion and Reason are true, and Reason is the correct explanation of Assertion. B Both Assertion and Reason are true, but Reason is not the correct explanation of Assertion. C Assertion is true, but Reason is false. D Assertion is false, but Reason is true.

Select one option. Answers are shown after the test.

Question 6 of 6

Assertion (A):
The combination of the set of rational numbers and the set of irrational numbers perfectly fills the Real Number Line.
Reason (R):
Every point on the real number line corresponds to a unique real number, and every real number can be represented by a unique point on this line.

A Both Assertion (A) and Reason (R) are true, and R is the correct explanation of A. B Both Assertion (A) and Reason (R) are true, but R is NOT the correct explanation of A. C Assertion (A) is true, but Reason (R) is false. D Assertion (A) is false, but Reason (R) is true.

Select one option. Answers are shown after the test.

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