VeritasKarishma plz explain

Old org - No of members = 4096 = 2^12 - Every 5 months, increase of 100% i.e. it becomes 2 times its previous value.
New org - No of members = 4 = 2^2 - Every 10 months, increase of 700% i.e. it becomes 8 times its previous value.

There is a difference of 10 multiplications of 2 between them.

Note what happens every 10 months - the old org grows to 4 times but the new org grows to 8 times. So the new org gets 1 extra multiplication by 2 in 10 months. To get 10 extra multiplications by 2, the new org will need 10 * 10 = 100 months.

Answer (E)

Think of it in terms of relative speed concept.
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