Question

Mr. Rahim invested his saving in term deposit of three different limited companies. If the average size of 3 term deposits is `3 crore, is the smallest deposit less than `2.5 crore?
I. The highest term deposit is `3.9 crore.
II. There are two more term deposits other than the highest term deposit. One of the two term deposits is `2.1 crore.

• 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 in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.
• C. if the data in both statements I and II are required to answer the question.
• D. if the data in both statements I and II together are not sufficient to answer the question.

Hint:

When analyzing such questions, combine the data provided in all statements and check if the question can be answered definitively. Sometimes both pieces of data are required for a conclusive answer.

Answer 1

The Correct Option is C

We are asked whether the smallest term deposit is less than ₹2.5 crore. From the question, we know that the average size of the three term deposits is ₹3 crore. This means the sum of the three term deposits is: \[ \text{Sum of deposits} = 3 \times 3 = 9 \text{ crore} \] Statement I:
- The highest term deposit is ₹3.9 crore.
This statement alone doesn't provide enough information to determine if the smallest deposit is less than ₹2.5 crore. We only know the highest deposit, but we don't know how the remaining two deposits compare.
Statement II:
- There are two more term deposits other than the highest term deposit, and one of them is ₹2.1 crore.
From this, we know one deposit is ₹2.1 crore. Since the sum of all three deposits is ₹9 crore, the third deposit (the smallest one) must be: \[ \text{Smallest deposit} = 9 - 3.9 - 2.1 = 3 \text{ crore} \] Thus, the smallest deposit is ₹3 crore, which is not less than ₹2.5 crore.
Since we need both statements together to conclude that the smallest deposit is not less than ₹2.5 crore, the correct answer is (3).