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In an competitive examination, 66% candidates passed in section A, 74% in section B while 5% failed in both the sections. If 720 students passed in bo
Question

In an competitive examination, 66% candidates passed in section A, 74% in section B while 5% failed in both the sections. If 720 students passed in both the sections, find the total number of candidates who appeared in the competitive examination.

A.

1800

B.

1700

C.

1600

D.

1500

Correct option is C

Passed in A = 66%
Passed in B = 74%
Failed in both = 5%

Therefore passed in at least one section
= 100 − 5
= 95%

Using formula:
A + B − Both = At least one

66 + 74 − Both = 95

Both = 140 − 95
Both = 45%
45% of total candidates = 720
Total candidates

= 720 × 100 / 45
= 1600

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