There are 60 students in a class in which the girls are twice the number of boys. In a ranking, Ram got the 17th place from the top. If 9 girls are ahead of Ram, how many boys are there behind Ram in the ranking?
A
23
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B
12
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C
7
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D
3
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E
None of the above
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Solution
The correct option is B 12
Number of students behind Ram = 60 - 17 = 43 Let the number of boys = x ∴ Number of girls = 2x ∴ x + 2x = 60 ⇒x=603=20 ∴ Number of girls = 2 × 20 = 40 Number of girls behind Ram = 40 - 9 = 31 ∴ Number of boys behind Ram = 43 - 31 = 12