IIFT 2019 Question Paper | Quants

CAT Questions

The best way to boost your IIFT prep is to practice the actual IIFT Question Papers. 2IIM offers you exactly that, in a student friendly format to take value from this. In the 2019 IIFT, quants were a mixed bag of questions of varying difficulty, with some routine questions and the others were very demanding. Some beautiful questions that laid emphasis on Learning ideas from basics and being able to comprehend more than remembering gazillion formulae and shortcuts.

Question 3: A group of women in a society decided to execute interior and exterior decoration of the society in a week's time. Since 11 women dropped out every day from the second day, the entire decoration was completed on 12^th day. How many women participated at the beginning ? (Answer to the nearest integer)

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Video Explanation

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Explanatory Answer

We know that had all of the women worked, the work would have been completed in a week. Then if ‘n' women are working at the beginning, the total work will be 7n.

So,
Work done on Day 1 (D1) = n
Work done on Day 2 (D2) = n-11
Work done on Day 3 (D3) = n-22
⋮
Work done on D12 = n – (11*(12-1)) =n-121

Total work done in the 12 days will be the sum of the work done on individual days.
Thus, 7n = D1 + D2 + …. + D12
7n = n + (n-11) + (n-22) + …. + (n-121)
7n = 12n – 726
n = 726/5 = 145.2
= 145 women

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The question is "How many women participated at the beginning?"

Hence, the answer is, "145"