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Question

A, B, C, D and E play game of cards .A says to B If you give me three cards you will have as many as E has and if I give you three cards you will have as many as D has. A and B together have 10 cards more than what D and E together have. If B has two cards more than what C has and the total number of cards be 133 how many cards does B have ?

A
35
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B
25
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C
15
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D
45
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Solution

The correct option is B 35
B - 3 = E ............(i)
B + 3 = D ..........(ii)
A + B = D + E + 10 .........(iii)
B - 2 = C...........(iv)
From (iii) A + B = B + 3 + B - 3 + 10
or A + B = 2B + 10
or A = B + 10
B + 10 + B + B - 2 + B + 3 + B - 3 = 133
5B = 133 - 8, B = 25 Ans

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