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Question

B is twice as old as A but twice as young as F.
C is half the age of A but twice the age of D.
Which two persons form the pair of the oldest and the youngest ?

A
F and A
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B
F and D
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C
B and F
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D
F and C
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E
None of these
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Solution

The correct option is B F and D
Let A's age be x.
Since B is twice as old as A then B's age is 2x.
B is twice younger than F i.e. F is twice older than B. So, F's age is 4x.
C is half the age of A i.e. C's age is x/2. C is twice the age of D i.e D is half the age of C i.e. D's age is x/4.
So, the descending order of ages will be F, B, A, C, D.
Clearly, F is the oldest and D is the youngest.
Hence, F and D is the answer.

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