Multiple choice general knowledge math & puzzles

Chinchin Hildulkar got an order to manufacturer 320 Cricket bats for Sindian Cricket team. He purchased 18 machines and appointed some expert workers to do the job. However, many didn’t report for duty. As a result, each of those who did, had to make 24 more bats than originally planned by Chinchin Hildulkar, with equal distribution of work. How many workers had been appointed earlier and how many had not reported for work?

  1. 12, 4

  2. 8, 5

  3. 8, 3

  4. 10, 4

  5. None of these

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let x be workers and y be bats per worker. xy=320. If (x-n) workers show up, they make (y+24) bats. Testing 8 workers: 320/8=40 bats each. If 3 don't show, 5 workers make 320/5=64 bats. 64-40=24. Thus, 8 were appointed and 3 failed to report.