Assertion Reasoning Quiz

Question 1 of 7

Assertion (A): The probability of choosing a vowel from the letters of the word "RANDOMNESS" is \( \frac{3}{10} \).
Reason (R): There are exactly 3 vowels (A, O, E) in the 10-letter word "RANDOMNESS".

A Both (A) and (R) are true and (R) is the correct explanation of (A). B Both (A) and (R) are true but (R) is not the correct explanation of (A). C (A) is true but (R) is false. D (A) is false but (R) is true.

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Question 2 of 7

Assertion (A): The probability of rolling a prime number on a standard 6-sided die is \( \frac{1}{2} \).
Reason (R): The prime numbers on a 6-sided die are 2, 3, and 5.

A Both (A) and (R) are true and (R) is the correct explanation of (A). B Both (A) and (R) are true but (R) is not the correct explanation of (A). C (A) is true but (R) is false. D (A) is false but (R) is true.

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Question 3 of 7

Assertion: In a trial of \(60\) sweets, \(18\) sweets are blue. The experimental probability of selecting a blue sweet is \(0.3\).
Reason: Experimental probability is calculated as \[ \frac{\text{number of times the event occurred}}{\text{total number of trials}}. \]

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.

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Question 4 of 7

Assertion (A): The probability that a randomly chosen non-leap year has exactly 53 Sundays is \( \frac{1}{7} \).
Reason (R): A non-leap year has 365 days, which consists of 52 complete weeks and 2 extra days.

A Both (A) and (R) are true and (R) is the correct explanation of (A). B Both (A) and (R) are true but (R) is not the correct explanation of (A). C (A) is true but (R) is false. D (A) is false but (R) is true.

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Question 5 of 7

Assertion: If three coins are tossed and only the number of heads is recorded, the sample space is \[ \{0,1,2,3\}. \]
Reason: Each of the three coins has two possible faces, heads and tails.

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.

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Question 6 of 7

Assertion (A): If a die is rolled 100 times and '4' appears 25 times, the experimental probability of rolling a '4' is \( \frac{1}{4} \).
Reason (R): Experimental probability is calculated as the number of times the event occurred divided by the total number of trials.

A Both (A) and (R) are true and (R) is the correct explanation of (A). B Both (A) and (R) are true but (R) is not the correct explanation of (A). C (A) is true but (R) is false. D (A) is false but (R) is true.

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Question 7 of 7

Assertion: To estimate the favourite sport of all students in a school, surveying only students enrolled in basketball coaching gives a representative sample.
Reason: A representative sample should include students from different grades, sections and interest groups rather than over-representing one group.

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.

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Assertion Reasoning Quiz