Multiple choice

Directions: In this problem, a question is followed by statements marked (I), (II) and (III). Read the statements carefully and determine which of the given statements is/are sufficient/necessary to answer the question. Aksh earns Rs. 4000 more than Ankush does. Who among them saves more? I. Ratio of the salaries of Aksh and Ankush is 4 : 3. II. Aksh saves 15% of his salary and Ankush saves Rs. 3000 per month. III. Sum of their salaries is Rs. 28,000.

  1. All statements together

  2. Only statements I and II

  3. Only statement II and either statement I or statement III

  4. Only statements II and III

  5. None of the statements
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Statement I gives the ratio of salaries. Statement II gives Aksh's savings rate and Ankush's savings amount. To compare savings, we need the actual salaries, which can be derived from I and III. Statement II is necessary to know the savings amount of Aksh. Thus, we need II and either I or III.

AI explanation

To find who saves more, you must determine both individuals' salaries and their savings; statement II provides Aksh's savings percentage and Ankush's exact savings amount, but lacks their total salaries. Statement I gives the salary ratio of Aksh to Ankush as 4 : 3, and combined with the given fact that Aksh earns Rs. 4,000 more, it yields exact salaries of Rs. 16,000 for Aksh and Rs. 12,000 for Ankush. Alternatively, statement III provides the sum of their salaries, which can also be used with the Rs. 4,000 difference to find both salaries; since statement II can then be applied to find the exact savings for both, only statement II and either statement I or statement III are necessary and sufficient.

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