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HPSC HCS 2021 · Question 143 of 177

A person has some hens and some cows. The ratio of number of heads and number of legs is 18 : 43. Find the number of hens, if the number of heads is 72.

Arithmetic

  1. A58Correct
  2. B60
  3. C56
  4. D62

Answer: A. 58

Explanation

72 heads give 172 legs (72×43/18); with h hens and c cows, h+c=72 and 2h+4c=172, so h = 58.

Source: HPSC HCS (Ex.Br.) Prelims Paper-II (CSAT) held 12-Sep-2021 (prepp.in compilation); answers per official HPSC answer key

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