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GATE 2021 ME (ME1) – Question 8

General Aptitude · Quantitative Aptitude: Arithmetic and Number Computation · 2 marks · Multiple choice

The number of hens, ducks and goats in farm P are 65, 91 and 169, respectively. The total number of hens, ducks and goats in a nearby farm Q is 416. The ratio of hens:ducks:goats in farm Q is 5:14:13. All the hens, ducks and goats are sent from farm Q to farm P. The new ratio of hens:ducks:goats in farm P is

  1. 5:7:13
  2. 5:14:13
  3. 10:21:26
  4. 21:10:26

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Show answer and explanation

Correct answer: (C) 10:21:26

Explanation

Farm Q has 32 ratio units, each worth 416/32=13 animals. Its counts are therefore 65,182,169.

Adding P gives 130,273,338. Divide by 13 to obtain **10:21:26 (C)**.