CAT 2022 Question Paper | Quant Slot 1

CAT Previous Year Paper | CAT Quant Questions | Question 20

CAT 2022 Quant was dominated by Arithmetic followed by Algebra. 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 20 : The average weight of students in a class increases by 600 gm when some new students join the class. If the average weight of the new students is 3 kg more than the average weight of the original students, then the ratio of the number of original students to the number of new students is

  1. 1 : 2
  2. 3 : 1
  3. 1 : 4
  4. 4 : 1

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Explanatory Answer

Let there be ‘a’ number of students originally in the class and their average weight be ‘n’ kgs.
Let ‘b’ number of students join the class having an average weight of ‘n + 3’ kgs.
This excess weight of 3 kgs brought in by each new student is shared among all the students such that each of them increases by 0.6 kgs.
3b = 0.6(a + b)
3b = 0.6 a + 0.6 b
2.4b = 0.6a
a = 4b
a : b = 4 : 1
The ratio of the number of original students to the number of new students is 4 : 1

The answer is '4 : 1'

Choice D is the correct answer.

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