How many participants pick only gun B ........

Quantitative Aptitude(IBPS CL) Case Studies

In a shooting competition, 150 shooters participated. Every participant picks at least one of the three guns namely A, B, and C. The number of participants who pick all three guns is 26. Participants who pick gun B are 71. The number of participants who pick exactly two guns is 64. 48 participants pick both guns A and C. The number of participants who pick only gun A is 27. The number of participants who pick gun A but not C is 50. The bullets fired from each of the guns either hit the target or missed the target. The bullets missed from gun A only is 70% more than that of the bullets that hit the target from gun A only. The bullets that hit the target from gun C only are 100% more than that of the bullets that missed the target.

How many participants pick only gun B?

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IBPS Clerk Mains (28 Feb, 2021 Shift 1)

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Explanation:

Correct Option is 2: 3

Total number of participants = 150
Number of participants who picked all three guns = 26
Participants who pick the gun B = 71
Participants who picked exactly two guns = 64
Number of participants who picked gun A and C = 48
Participants who picked only gun A = 27
The number of participants who picked gun A but not C = 50

Now, g=26
b+d+e+g= 71
d+e+ f = 64
f+g=48
⇒f=48-26=22
a = 27
a + d = 50
⇒d=50-27 = 23
23+e+ 22 64
⇒e=19
b=3
⇒c=30
⇒ Participants who picked only gun B = 3
Therefore, the number of participants who picked only gun B is 3.