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Question

In a class, there are 18 boys who are over 160 cm tall. If these boys constitute three-fourth of the total number of boys which is two-third of the total number of students in the class. What is the number of girls in the class?

एक कक्षा में, 18 लड़के ऐसे हैं जिनकी लंबाई 160 से.मी. से अधिक है। यदि ऐसे लड़कों की संख्या कुल लड़कों की संख्या की तीन-चौथाई है जो कक्षा में कुल विद्यार्थियों की दो-तिहाई है, तो कक्षा में कितनी लड़कियां हैं?

A
10
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B
12
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C
14
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D
18
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Solution

The correct option is B 12
Let the number of boys be x.
Then, (3/4)X = 18
X = 24
If the total number of students is Y, then
(2/3)Y = 24
Y = 36
Number of girls in the class = Y – X = 36 – 24 = 12
Thus, 12 is the required number.
Hence, option (b) is the correct answer.

माना कि लड़कों की संख्या x है।
तब, (3/4) x = 18
x = 24
यदि छात्रों की कुल संख्या y है, तब
(2/3) y = 24
y = 36
कक्षा में लड़कियों की संख्या = y – x = 36 – 24 = 12
इस प्रकार, 12 वांछित संख्या है।
अतः, विकल्प (b) सही उत्तर है।

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