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CAT 2004 | Question: 45

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On January $1\; 2004,$ two new societies, $\text{S}_1$ and $\text{S}_2$ are formed, each with $n$ members. On the first day of each subsequent month, $\text{S}_1$ adds $b$ members and $\text{S}_2$ multiplies its current number of members by a constant factor $r.$ Both societies have the same number of members on July $2,\; 2004.$ If $b=10.5n,$ what is the value of $r?$

  1. $2.0$
  2. $1.9$
  3. $1.8$
  4. $1.7$

1 Answer

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ans is 2.0

as n+6b=n*r^6

and b=10.5n

so r=2
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