A Question is given followed by two Statements I and II. Consider the Question and the Statements. A person buys three articles p, q and r for ₹50. The price of the article q is ₹16 which is the least. Question: What is the price of the article p? Statement-I: The cost of p is not more than that of r. Statement-II: The cost of r is not more than that of p. Which one of the following is correct in respect of the above Question and the Statements?
A.The Question can be answered by using one of the Statements alone, but cannot be answered using the other Statement alone
B.The Question can be answered by using either Statement alone
C.The Question can be answered by using both the Statements together, but cannot be answered using either Statement alone✓ Correct
D.The Question cannot be answered even by using both the Statements together
Explanation
Total cost of p, q and r is ₹50, and q = ₹16 (the least). So p + r = ₹34, with both p and r greater than or equal to 16. Possible pairs (p, r) include (17, 17), (18, 16)—but 16 is the least so r > 16—giving valid pairs like (17, 17), (16+, ...). Using Statement-I alone (p ≤ r): p could be 17 and r = 17, or p = 16+ with r larger; multiple values are possible, so I alone is insufficient. Using Statement-II alone (r ≤ p): similarly multiple values possible, so II alone is insufficient. Using both together, p ≤ r and r ≤ p means p = r = 17. Hence both statements together give a unique answer, but neither alone suffices.
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