# Consider the following statements:1. Either A and B are of the same age or A is older than B2. Either C and D are of the same age or D is older than C3. B is older than CWhich of the following conclusions can be drawn from the above statements?

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## Options:

1. A is older than B

2. B and D are of the same age

3. D is older than C

4. A is older than C

### Correct Answer: Option 4 (Solution Below)

This question was previously asked in

Official UPSC Civil Services Exam 2016 Prelims Part B

## Solution:

We can represent the given statements in terms of mathematical inequalities:
1) Either A and B are of the same age or A is older than B.
⇒ A ≥ B
2)
Either C and D are of the same age or D is older than C.
⇒ D ≥ C
3) B is older than C.
⇒ B > C
⇒  A ≥ B > C; D ≥ C

Among the given options, only A greater than C is definite.

Hence, option 4 is the correct answer.
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