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CAT-2004-Previous Years Paper

Question
5 out of 35
 

On 1 January 2004, two new societies S1and S2are formed, each having n members. On the first day of each subsequent month, S1adds b members while S2multiples its current numbers by a constant factor r. Both the societies have the same number of members on 2 July 2004. If b = 1 0.5n, what is the value of r?



A 2.0
B 1.9
C 1.8
D 1.7

Ans. A

There will be an increase of 6 times. Number of members s, will be in AP. On 2 July 2004, S1will have n + 6b members = n + 6
×
10.5n = 64n

Number of members in s2will be in GP

On 2 July 2004, number of members in s2= nr6

They are equal, hence 64n = nr6

64 = r6 r = 2

CAT-2004-Previous Years Paper Flashcard List

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