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The answer is B. Please find below my explanation:

Let us assume that the original number of Men = x

Therefore, x*14 = (x-6)*21 ==> x=18
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A group of men promise to do a work in 14 days, but 6 of them do not turn up. If rest of the group do the work in 21 days, find the original number of men.

(A) 15
(B) 18
(C) 25
(D) 35
(E) 38

Explanation:
let x men promised to do the work.Simply equate the man-days involved in the given work i.e

x men* 14 days=(x-6)*21 days
2x=(x-6)*3
x=18 men

Hence B is the correct answer.
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