King Dashratha of Ayodhya on his birthday decided to offer 100 coins of gold among his 4 sons and 3 wives. The denomination of each coin is `₹`1. He put all the 100 coins in 7 bags in such a way that by taking a proper combination of various bags any integral sum (i.e. `₹` 1, 2, 3, 4, ... .100) can be obtained and it is known that the only whole sum of any bag can be taken.
If all coins, of these who have odd number of coins, are combined then minimum how many people are required to combine their coins to make the same amount having even number of coins:

Options

A. 10
B. 13
C. 11
D. 9

Answer

C