M4maths Previous Puzzles

22 Mar 2021 Survey

A survey shows that 64% of the Indians like bikes, whereas 58% like scooters.
What percentage of the Indians like both bikes and scooters?

OPtion

1) 42%
2) 44%
3) 46%
4) 26%
5) 24%
6) 22%
7) 28%
8) 34%
9) 34%
10) None of the above

Solution

Let P & Q denote the sets of Indians who like bikes and scooters respectively. Then
n(P ) = 64, n(Q) = 58 and n(P ∩ Q) = 100.
We know that n( P ∩ Q) = n(P) + n(Q) – n( P ∩ Q )
= 64 + 58 – 100 = 22.
Hence, 22% of the Indians like both bikes and scooters.

Correct Option: 6 Best Solution (3)