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# Verbal Reasoning - Arithmetic Reasoning - Discussion

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"Loneliness is the most terrible poverty."
- Mother Teresa
5.

A, B, C, D and E play a 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]. 22 [B]. 23 [C]. 25 [D]. 35

Explanation:

Clearly, we have :

B-3 = E ...(i)

B + 3 = D ...(ii)

A+B = D + E+10 ...(iii)

B = C + 2 ...(iv)

A+B + C + D + E= 133 ...(v)

From (i) and (ii), we have : 2 B = D + E ...(vi)

From (iii) and (vi), we have : A = B + 10 ...(vii)

Using (iv), (vi) and (vii) in (v), we get:

(B + 10) + B + (B - 2) + 2B = 133 5B = 125 B = 25.

 Ashutosh said: (Sat, Feb 18, 2012 12:28:42 PM) Explain me the last 2 lines.

 Archana said: (Fri, Apr 6, 2012 11:50:01 AM) B=C+2=>C=B-2 2B=D+E=>D=2B-E (B+10)+B+(B-2)+2B-E+E=133 B+10+B+B-2+2B=133 5B+8=133 5B=133-8 B=125/5 B=25

 Archana Santhosh said: (Mon, Mar 4, 2013 11:22:44 AM) A+B+C+D+E=133 (B+10)+B+(B-2)+2B=133 5B+8(i.e 10-2)=133 5B=133-8 5B=125 B=125/5 B=25.