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You are given a question and two statements. Decide which of the statement(s) is/are necessary/sufficient to answer the question- Question: Latika has 25 boxes of 3 sizes (small, medium, and big). How many big size boxes does he have? Statement: 1. The number of large boxes is half the number of medium-sized boxes. 2. The number of small boxes is 10.

You are given a question and two statements. Decide which of the statement(s) is/are necessary/sufficient to answer the question- Question: Latika has 25 boxes of 3 sizes (small, medium, and big). How many big size boxes does he have? Statement: 1. The number of large boxes is half the number of medium-sized boxes. 2. The number of small boxes is 10. Correct Answer Statements 1 and 2 together are sufficient

Given:

Latika has 25 boxes of 3 sizes (small, medium, and big).

Statement:

1. The number of large boxes is half the number of medium-sized boxes.

2. The number of small boxes is 10.

Calculation:

Taking only statement 1, we won't be able to figure the distinct numbers of small, medium & big boxes. 

Similarly, taking only statement 2, we won't be able to figure the distinct numbers of small, medium & big boxes.

Now, taking both the statements, we can figure out the number of large, medium, and small-sized boxes accordingly.

The number of small Boxes = 10.

Remaining Boxes = 25 - 10 = 15.

Now, The number of large boxes is half the number of medium-sized boxes.

So, the number of Medium-Sized Boxes = 10.

And,

The number of Large Boxes = half the number of medium-sized boxes.

The number of Large Boxes = 10 / 2 = 5.

∴ Statements 1 and 2 together are sufficient.

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