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Question :

Each of the questions below consists of a question and 2 statements numbered I and II. You have to determine whether the data provided in the statements are sufficient to answer the question.

A, B, C and D have different heights and weights. Who is the heaviest among them?

I. The heaviest person is also the 2nd shortest. A is heavier than C, who is shorter than B but not shortest and D is the lightest.

II. The 2nd shortest person is the heaviest person. C is lighter than B, who is the tallest. A is heavier than D.

1. I alone is sufficient but II alone is not sufficient

2. II alone is sufficient but I alone is not sufficient

3. Either statement alone is sufficient

4. Both statements together are necessary

5. Both statements together are not sufficient

Correct Answer : 3
Solution :

From I alone: -

The heaviest person is also the 2nd shortest. A is heavier than C, who is shorter than B but not shortest.

So, neither B nor C is the 2nd shortest.

D is the lightest.

So, we get: -

WeightHeight
A (Heaviest)B (Tallest)
C
A
D (Lightest)D (Shortest)

So, A is the heaviest.

From II: -

The 2nd shortest person is the heaviest person. C is lighter than B, who is the tallest.

Since, C is lighter than B. So, C is either shortest or 2nd tallest person.

So, we get: -

WeightHeight
(Heaviest)B (Tallest)
C/
(Lightest)C/ (Shortest)

A is heavier than D.

Here, neither B nor C is the heaviest. Also, D cannot be the heaviest.

So, A must be the heaviest person.

So, we get: -

WeightHeight
A (Heaviest)B (Tallest)
C/D
A
(Lightest)D/C (Shortest)

So, statement II alone is sufficient to answer the question.

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