CAT 2023 Question Paper | Quant Slot 2

CAT Questions

CAT 2023 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 8 : In a company, 20% of the employees work in the manufacturing department. If the total salary obtained by all the manufacturing employees is one-sixth of the total salary obtained by all the employees in the company, then the ratio of the average salary obtained by the manufacturing employees to the average salary obtained by the non-manufacturing employees is

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Video Explanation

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Explanatory Answer

” In a company, 20% of the employees work in the manufacturing department.”
Ratio of number of manufacturing to non-manufacturing employees = 1 : 4
So, let the number of manufacturing to non-manufacturing employees be x and 4x respectively.
“the total salary obtained by all the manufacturing employees is one-sixth of the total salary obtained by all the employees in the company,”
Ratio of total salaries of manufacturing to non-manufacturing employees = 1 : 5
So, let the total salaries of manufacturing to non-manufacturing employees be y and 5y respectively.
So, the ratio of average salaries of manufacturing to non-manufacturing employees will be \( \frac { y } { x } : \frac { 5 y } { 4 x } = 4 : 5 \)

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The question is " In a company, 20% of the employees work in the manufacturing department. If the total salary obtained by all the manufacturing employees is one-sixth of the total salary obtained by all the employees in the company, then the ratio of the average salary obtained by the manufacturing employees to the average salary obtained by the non-manufacturing employees is "

The answer is '4 : 5'

Choice A is the correct answer.

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