Each of the questions below consists of a question and two statements numbered…
2025
Each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the questions. Read both the statements and give the answer.
Total money with Naresh and Ajay is 28 percent of that with Usman. How much money is Ajay having?
I. Usman has got Rs 75000.
II. The ratio of money of Naresh to money held by Ajay is 1:3.
- A.
If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.
- B.
If the data given in both statements I and II together are not sufficient to answer the question.
- C.
If the data either in statement I alone or in statement II alone are sufficient to answer the question.
- D.
If the data in both statements I and II together are necessary to answer the question.
Show answer & explanation
Correct answer: D
Concept: In a Data Sufficiency question, a statement (or a combination of statements) is sufficient only if it lets you compute a single, definite numerical value for what is asked. If a statement gives only partial information (say, a total, or only a ratio) but not the individual figure, it is insufficient alone; if combining the statements fixes a unique value, both together are needed.
From the question stem, the money held by Naresh and Ajay together equals 28% of Usman's money; this links their combined total to Usman's amount but does not by itself fix any individual amount.
Statement I (Usman = Rs 75,000): gives Naresh + Ajay = 28% of 75,000 = Rs 21,000. This is only the combined total for the two of them; it says nothing about how that money is divided between Naresh and Ajay, so statement I alone cannot answer how much Ajay has.
Statement II (Naresh : Ajay = 1 : 3): gives only the ratio in which the two share their money, with no absolute value attached to either share, so statement II alone also cannot answer how much Ajay has.
Combining both: the combined total (Rs 21,000) splits in the ratio 1:3, i.e. into 4 equal parts of Rs 21,000 / 4 = Rs 5,250 each. Ajay's share is 3 such parts = 3 x 5,250 = Rs 15,750.
Cross-check: Naresh's share is 1 x 5,250 = Rs 5,250, and 5,250 + 15,750 = Rs 21,000, matching the combined total; also 28% of Rs 75,000 = Rs 21,000, confirming statement I was used correctly. Since neither statement alone fixes Ajay's amount but both together do, the data in both statements are necessary to answer the question.