time and work problems for cat - Wikitechy https://www.wikitechy.com/interview-questions/tag/time-and-work-problems-for-cat/ Interview Questions Mon, 06 Sep 2021 07:11:46 +0000 en-US hourly 1 https://wordpress.org/?v=6.9 https://www.wikitechy.com/interview-questions/wp-content/uploads/2025/10/cropped-wikitechy-icon-32x32.png time and work problems for cat - Wikitechy https://www.wikitechy.com/interview-questions/tag/time-and-work-problems-for-cat/ 32 32 A certain number of answer sheets can be checked in 12 days working 5 hours each day by 9 examiners. For how many hours a day should 4 examiners work to check twice the number of answer sheets in 30 days ? https://www.wikitechy.com/interview-questions/chain-rule/a-certain-number-of-answer-sheets-can-be-checked-in-12-days-working-5-hours-each-day-by-9-examiners-for-how-many-hours-a-day-should-4-examiners-work-to-check-twice-the-number-of-answer-sheets-in-30-d/ https://www.wikitechy.com/interview-questions/chain-rule/a-certain-number-of-answer-sheets-can-be-checked-in-12-days-working-5-hours-each-day-by-9-examiners-for-how-many-hours-a-day-should-4-examiners-work-to-check-twice-the-number-of-answer-sheets-in-30-d/#respond Tue, 17 Aug 2021 22:01:44 +0000 https://www.wikitechy.com/interview-questions/?p=1984

A certain number of answer sheets can be checked in 12 days working 5 hours each day by 9 examiners. For how many hours a day should 4 examiners work to check twice the number of answer sheets in 30 days ?

A. 4 hours

B. 8 hours

C. 7 hours

D. 9 hours

Answer : D. 9 hours

Explanation:

Let required number of hours be x
More examiners, less hours(indirect proportion)
More days, less hours(indirect proportion)
More answer books, more hours(direct proportion)
Hence we can write as

A certain number of answer sheets
    • 9 * 12 * 2 * 5 = 4 * 30 * 1 * x
    • x = 9 * 12 * 2 * 5 / 4 * 30 * 1
    • = 9 * 3 * 2 * 5 / 30
    = 9
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