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Simplification - General Aptitude

Q1:

A fires 5 shots to B's 3 but A kills only once in 3 shots while B kills once in 2 shots. When B has missed 27 times, A has killed:

A 30 birds

B 60 birds

C 72 birds

D 90 birds

ANS:A - 30 birds

Let the total number of shots be x. Then,

Shots fired by A = 5 x
8
Shots fired by B = 3 x
8
Killing shots by A = 1 of 5 x = 5 x
3 8 24
Shots missed by B = 1 of 3 x = 3 x
2 8 16
3x = 27 or x = 27 x 16 = 144.
16 3
Birds killed by A = 5x = 5 x 144 = 30.
24 24