A, B, C, D and E play a game of cards. A says to B, "If you give me 3 cards, you

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Question
A, B, C, D and E play a game of cards. A says to B, "If you give me 3 cards, you will have as many as I have at this moment while if D takes 5 cards from you, he will have as many as E has." A and C together have twice as many cards as E has. B and D together also have the same number of cards as A and C taken together. If together they have 150 cards, how many cards has C got?
Options
A. 28
B. 29
C. 31
D. 35

Correct Answer

28

Explanation

Clearly, we have :

A = B - 3 ...(i)

D + 5 = E ...(ii)

A+C = 2E ...(iii)

B + D = A+C = 2E ...(iv)

A+B + C + D + E=150 ...(v)

From (iii), (iv) and (v), we get: 5E = 150 or E = 30.

Putting E = 30 in (ii), we get: D = 25.

Putting E = 30 and D = 25 in (iv), we get: B = 35.

Putting B = 35 in (i), we get: A = 32.

Putting A = 32 and E = 30 in (iii), we get: C = 28.

More questions

1. Choose the word which is different from the rest.
Options
A. Bajra
B. Mustard
C. Rice
D. Wheat
E. Barley

6.
'Uneasy' is to 'Quite" as 'Fit' is to
Options
A. Proper
B. Suitable
C. Pertinent
D. Unfit

8.
Statement :
1. Some clerks are poor;
2. A is poor
Conclusion :
I. A is clerk.
II. A has a large family.
Options
A. Both conclusions I and Ii
B. Only conclusion II
C. Only conclusion I follows.
D. Neither conclusion I nor conclusion Ii follows.

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