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GATE 2021 XH2 – Question 8

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

Farm P has65 hens,91 ducks and169 goats. Farm Q has416 animals in the ratio hens:ducks:goats=5:14:13. All Q’s animals move to P. What is P’s new ratio?

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

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Correct answer: (C) 10:21:26

Explanation

The ratio totals32 parts, so one part in Q is416/32=13. Q contributes65 hens,182 ducks and169 goats. P then has130,273,338. Dividing all three by13 gives10:21:26, C.

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