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Question

A certain amount was distributed among six persons A, B, C, D, E and F. B recieved more than only A. F received more than B. F received less than C. E received more than C but he did not get the highest amount. Who among the following received an amount less than C?

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

The correct option is D A, B, F
The amount is distributed among six persons A, B, C, D, E and F.
B recieved more than only A.
B > A ..... (i)
F received more than B.
F > B ...... (ii)
F received less than C.
C > F ....... (iii)
E received more than C but he did not get the highest amount.
E > C ...... (iv)
From Eqs. (i), (ii), (iii), and (iv),
E > C > F > B > A
So, D received the highest amount.
D > E > C > F > B > A
It is clear that F, B and A received an amount less than C.

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