Numbers & Algebra

1:

Two new charity organizations C1 and C2 were formed, with x members each, on January 1, 2012. On first day of each, subsequent month, in C1, number of members increases by a certain number a, while in C2, number of members increases in such a way that ratio of the number of members in a month to the preceding month bear a ratio equal to b. On May 1, 2012, both organizations had the same number of members. If a = 20x, then b will be

A.

2

B.

3

C.

2.5

D.

3.5

 

Answer : B

Explanation :

Number of members in C1 on May 1, 2012 = x + 4ya
Number of members in C2 on May 1, 2012= xb4
x + 4a = xb4 and a = 20x
∴ x(b4 - 81)
As x   ≠ 0, b4 - 81 = 0
∴ b = 3

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Option: A

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