During a Hajj field operation, 92 pilgrims form four groups: P is 8 more than Q, R is twice Q, and S is 4 fewer than P. How many are in Group Q?
- 18 pilgrims, giving P 26, R 36 and S 22
- 14 pilgrims, giving P 22, R 28 and S 18
- 16 pilgrims, giving P 24, R 32 and S 20
- None of these
Explanation
Given:
P = Q + 8 = x + 8
R = 2 x Q = 2x
S = P - 4 = (x + 8) - 4 = x + 4
Total = 92
So: Q + P + R + S = 92
x + (x + 8) + 2x + (x + 4) = 92
5x + 12 = 92
5x = 92 - 12
5x = 80
x = 16
Check:
Q = 16
P = 16 + 8 = 24
R = 2 x 16 = 32
S = 24 - 4 = 20
Total = 16 + 24 + 32 + 20 = 92
Answer: 16 pilgrims, giving P 24, R 32 and S 20
Last verified on 11-09-2026
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