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SSC CGL 2022 PYQ — Question 68

SSC CGL - 06 Dec 2022 - Shift 4 • Quantitative Aptitude • Q68

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1 man and 4 women can complete a work in 654{{65} \over 4} days, while 3 man and 4 women can complete it in 132{{13} \over 2} days. In how many days will 13 women complete the same?

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 20.

According to the question,

(1m + 4w) 654{{65} \over 4} = (3m + 4w)132{{13} \over 2}

5m + 20w = 6m + 8w

12w = 1m

m/w = 12/1

Total work done by 13 women = [(1 × 12 + 4 × 1) 654{{65} \over 4}]/13 = 20 days