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GATE 2022 XH5 (Psychology) – Question 12

Reasoning and Comprehension · Quantitative reasoning · 1 mark · Multiple choice

Three individuals are named P, Q, and R. Together they have a total of fifteen children of which nine are boys. P has three girls and Q has same number of boys. Q has one more child than P, who has four children. R has four more boys than the number of girls. The number of girls of R is equal to the number of boys of P.

How many boys do R and P have?

  1. R = 3, P = 3
  2. R = 4, P = 2
  3. R = 5, P = 1
  4. R = 2, P = 4

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Show answer and explanation

Correct answer: (C) R = 5, P = 1

Explanation

P has 4 children, 3 of them girls, so 1 boy. Q has 5 children, 3 boys (the same as P's girls), and so 2 girls. R has $15 - 4 - 5 = 6$ children. R's girls equal P's boys, so 1 girl, and R has $1 + 4 = 5$ boys. Boys: $1 + 3 + 5 = 9$, which agrees. So R = 5 and P = 1.