XAT 2025 Question Paper | Quantitative Aptitude and Data Interpretation

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Read the following scenario and answer the THREE questions that follow.

A store offers a choice of five different discount coupons to its customers, described as follows:

Coupon A: A flat discount of Rs. 250 on a minimum spend of Rs. 1200 in one transaction.

Coupon B: A 15% discount on a minimum spend of Rs. 500 in one transaction, up to a maximum discount of Rs. 300.

Coupon C: A flat discount of Rs. 100 on a minimum spend of Rs. 600 in one transaction.

Coupon D: A 10% discount on a minimum spend of Rs. 250 in one transaction, up to a maximum discount of Rs. 100.

Coupon E: A flat discount of Rs. 50 on a minimum spend of Rs. 200 in one transaction.

The customers are allowed to use at most one coupon in one transaction, i.e., two or more coupons cannot be combined for the same transaction.

Question 16 : If $a, b$, and $c$ are all positive integers, with $4 a>b$, then which of the following conditions is BOTH NECESSARY AND SUFFICIENT for the expression $\sqrt[3]{(3)^a(21)^{(3 a-b)}(49)^{(2 b+c)}}$ to be a positive integer?

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Video Explanation

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Explanatory Answer

Text Explanation will be provided soon...

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The question is " $a - b \, \text{and} \, c \, \text{are divisible by 3}$ "

Hence, the answer is 'Coupon D'

Choice C is the correct answer.

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