Multiple choice

Passage

Directions : In the following problem, you have to find out which of the given statements is/are redundant for determining the answer of the question asked or can be dispensed with.

What is the amount invested in Scheme Y? Statements: I. The amounts invested in Schemes X and Y are in the ratio 2 : 3. II. The amount invested in Scheme X is 40% of the total amount invested. III. The amount invested in Scheme X is Rs. 55,000.

  1. I and II

  2. I and III

  3. II and III

  4. Either I or II

  5. None of these
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

To find the amount in Scheme Y, we need the total amount and the ratio. Statement I gives the ratio X:Y = 2:3. Statement II says X is 40% of the total, which implies Y is 60% of the total. Statement III gives the absolute value for X. We can find Y using (I and III) or (II and III). Thus, either I or II is redundant.

AI explanation

To find the amount invested in Scheme Y, you must know both the amount invested in Scheme X and the relationship between the amounts in Schemes X and Y. Statements I and III together give you the ratio of the investments and the exact amount for Scheme X, allowing you to calculate Scheme Y. Alternatively, statements II and III together provide the percentage of the total investment for Scheme X and its exact amount, which allows you to find the total investment and subsequently the amount for Scheme Y. Therefore, either statement I or statement II can be dispensed with, since you only need one of them alongside statement III to solve the problem.

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