Verbal Reasoning - Arithmetic Reasoning - Discussion

Discussion :: Arithmetic Reasoning - Section 1 (Q.No.28)

28.

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 ?

 [A]. 28 [B]. 29 [C]. 31 [D]. 35

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.

 Saurabh said: (Dec 15, 2014) How this D+5 = E came? What I think is - B gave his five cards to D therefore D = B+5;

 Pritham said: (May 22, 2015) Putting E = 30 and D = 25 in (iv), we get:B = 35. How 35 comes?

 Harish said: (Sep 5, 2016) I think the answer is incorrect. In the first, it should be A + 3 = B - 3 but not A = B - 3 then answer becomes C = 31 NOT 28 because he asked at this momment when B is giving three cards to A then B have B - 3 and A have A + 3 and said it is equal.

 Pooja said: (Jun 28, 2018) A ask the B to give 3 card. So, that B will have as much as A in this moment. That means A is not received 3 card in this moment. That is, answer is 28.

 Aravind said: (Mar 8, 2020) A + 3 = B - 3 is the first condition; since A asks B to give 3 cards so that they have equal number of cards. Therefore, the answer is C has 31 cards.