The number of pupils in a class is 55. The ratio of the number of male pupils to the number of female…
Let the number of male pupils be 5x and the number of female pupils be 6x. Total number of pupils = 5x + 6x = 11x = 55, which gives x = 55 ÷ 11 = 5. Therefore, the number of…
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The number of pupils in a class is 55. The ratio of the number of male pupils to the number of female pupils is 5 : 6. The number of female pupils is:
Answer and explanation
Correct answer C
Let the number of male pupils be 5x and the number of female pupils be 6x. Total number of pupils = 5x + 6x = 11x = 55, which gives x = 55 ÷ 11 = 5. Therefore, the number of female pupils = 6x = 6 × 5 = 30 (and the number of male pupils = 5x = 25).
Option feedback
Option A
Incorrect. 11 is the sum of the ratio parts (5 + 6 = 11), not the number of female pupils.
Option B
Incorrect. 25 is the number of male pupils ((5 / 11) × 55 = 25), not the number of female pupils.
Option C
Correct. The sum of the ratio parts is 5 + 6 = 11. Each ratio unit represents 55 ÷ 11 = 5 pupils, so the number of female pupils is 6 × 5 = 30.
Option D
Incorrect. 35 would leave 20 male pupils, giving a male-to-female ratio of 20 : 35 = 4 : 7 rather than 5 : 6.
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Arunachal Pradesh Judicial Services