Question

What is the sum of the heights of three brothers A, B, and C? Statement I: B is the tallest and his height is 163 cm.
Statement II: A is the shortest and his height is 154 cm. To answer the question:

• A. Statement I alone is sufficient
• B. Statement II alone is sufficient
• C. Both statements I and II together are sufficient
• D. Both statements I and II even together are not sufficient

Hint:

In data sufficiency, check if exact value can be uniquely determined — not estimated.

Answer 1

The Correct Option is D

To determine if we can find the sum of the heights of brothers A, B, and C using the provided statements, let's analyze each statement:

1. From Statement I: B is the tallest, and his height is 163 cm.
   Here, we only know B's height. There is no information about A or C, so we cannot determine the sum of their heights.
2. From Statement II: A is the shortest, and his height is 154 cm.
   Similarly, we only know A's height. We do not have information about the heights of B or C, so we cannot calculate the total height from this statement either.

Now, let's consider both statements together:

• We know from Statement I that B = 163 cm.
• We know from Statement II that A = 154 cm.
• We have no information about the height of C, which prevents us from calculating the total height of A, B, and C.

Therefore, the information in both statements together is not sufficient to find the sum of their heights.

Hence, the correct answer is: Both statements I and II even together are not sufficient.