Study the given Venn diagram and answer the question that follows.

A State has 7500 officers. Among them, 62% officers are punctual (P), 58% officers are honest (H) and 70% officers are brave (B). 38% officers are punctual (P) and honest (H), 48% are honest (H) and brave (B) and 36% are punctual (P) and brave (B).

What percentage of the officers are punctual (P), honest (H) and brave (B)?

Question

Question

This question was previously asked in

NTPC CBT-I (Held On: 13 Jan 2021 Shift 1)

Answer 1

Given:

1) 62% officers are punctual (P)

P = a + g + d + f = 62%

2) 58% officers are honest (H)

H = b + g + d + e = 58%

3) 70% officers are brave (B)

B = c + f + d + e = 70%

4) 38% officers are punctual (P) and honest (H)

g + d = 38%

5) 48% are honest (H) and brave (B)

e + d = 48%

6) 36% are punctual (P) and brave (B)

f + d = 36%

F1 PujaT Madhuri 10.01.2022 D40

We know that,

100 % = [P + H + B] – [(g +d) + (e +d) + (f +d)] + d

100% = [62% + 58% + 70%] – [(38%) + (48%) + (36%)] + d

100% = 190% - 122% + d

100% = 68% + d

d = 100% - 68%

d = 32%

Hence, ‘32%’ percentage of the officers are punctual (P), honest (H) and brave (B)