CA Foundation · Quantitative Aptitude · Blood Relations
Ravi says, 'I have as many brothers as sisters.' His sister Priya says, 'I have twice as many brothers as sisters.' How many children (boys and girls together) are there in the family?
The family has 7 children: 4 boys and 3 girls. Ravi has 3 brothers and 3 sisters, and Priya has 4 brothers and 2 sisters, which is twice as many brothers as sisters. Both statements hold with these numbers.
- A5
- B6
- C7Correct
- D8
Explanation
Let boys = b and girls = g. Ravi is a boy: brothers = b-1, sisters = g, so b-1 = g. Priya is a girl: brothers = b, sisters = g-1, so b = 2(g-1). Substituting: g+1 = 2g-2, so g = 3 and b = 4. Total = 7. Check: Ravi has 3 brothers and 3 sisters; Priya has 4 brothers and 2 sisters.
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