CAT 2024 Question Paper | Quant Slot 1

CAT Questions

CAT 2024 Quant was dominated by Algebra followed by Arithmetic. In Arithmetic, the questions were dominated by topics like Speed-time-distance, Mixture and Alligations. This year, there was a surprise. The questions from Geometry were relatively on the lower side as compared to the previous years. There were 8 TITA Qs this year. Overall this section was at a medium level of difficulty.

Question 11 :There are four numbers such that average of first two numbers is 1 more than the first number, average of first three numbers is 2 more than average of first two numbers, and average of first four numbers is 3 more than average of first three numbers. Then, the difference between the largest and the smallest numbers, is

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Video Explanation

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Explanatory Answer

Average of first two numbers is 1 more than first number.
Lets take first number = a
Second number = a+2

Average of first three numbers is 2 more than the average of first two numbers which is a+3.
Therefore 3rd number is a+7

Average of first four numbers is 3 more than average of first three numbers which is a+6
Therefore the 4th number is a+15

The difference between the largest and smallest numbers is a+15 - a = 15

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The question is "There are four numbers such that average of first two numbers is 1 more than the first number, average of first three numbers is 2 more than average of first two numbers, and average of first four numbers is 3 more than average of first three numbers. Then, the difference between the largest and the smallest numbers, is"

Hence, the answer is '15'

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