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A gentleman decided to treat a few children - Quantitative Aptitude – Algebra | Linear Equations |

CAT 2020 – The CAT QA section has grown increasingly difficult since 2015. In order to tackle the tougher CAT Level QA questions for the CAT Exam, it is important to understand the basics of CAT. To obtain a great CAT score, make use of MBAP Free Study material with detailed solutions and video explanations. Check out MBAP free Mock test to take these questions in a test format for free.

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The question below is from previous year CAT question from CAT 2020 exam comes from sub-section Linear Equations: A gentleman decided to treat a few children.. . 

Find out by answering this question which tests an aspirant’s Quantitative Ability Skills:

CAT 2020 – Slot 1 - Linear Equations - Question 25 - A gentleman decided to treat a few children

Question 25: A gentleman decided to treat a few children in the following manner. He gives half of his total stock of toffees and one extra to the first child, and then the half of the remaining stock along with one extra to the second and continues giving away in this fashion. His total stock exhausts after he takes care of 5 children. How many toffees were there in his stock initially?

Answer:

25. Correct Answer: 62

Let us take 5th kid has 2 toffees

Because we know that after 5th toffee his stock exhausts.

So only if the 5th kid has 2 toffees, he can give away half of it and 1 extra = 0

Then for 4th kid, (2+1) × 2 = 6 (Since we are moving in reversing order)

3rd = 14 and 2nd = 30 and 1st kid = 62

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