Each question is followed by two statements I and II Mark the answer 1 If the questio...........

Math and Mental Ability Data Sufficiency

Each question is followed by two statements, I and II. Mark the answer:

1. If the question can be answered by using one of the statements alone, but cannot be answered using the other statement alone.

2. If the question can be answered by using either statement alone.

3. If the question can be answered by using both statements together, but cannot be answered using either statement alone.

4. If the question cannot be answered even by using both statements together.

A wire 16 m long is cut into 3 pieces. How long is the longest piece?

I. Two pieces are each 1 m shorter than the longest piece.

II.One piece is 8 m long.

- Question: How long is the longest piece of the wire?

- Statement I: Two pieces are each 1 m shorter than the longest piece.

- If the longest piece is 'x', then the two shorter pieces each are 'x - 1' meters long.

(x- 1) + (x- 1)+x=16

3x=18

x=6

So, Three pieces are - 5, 5 and 6

So , statement I sufficient to solve the question.

- Statement II: One piece is 8 m long.

Since length of the wire is 16 m. Other two pieces can be smaller than 8 m. Hence statement II is also sufficent to solve the question.

Hence question can be answered either by I or II satement.

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