In a class, the number of boys is 4 times the number of girls. Which of the…
2019
In a class, the number of boys is 4 times the number of girls. Which of the following numbers can represent the total number of students in the class?
- A.
66
- B.
54
- C.
56
- D.
65
Attempted by 306 students.
Show answer & explanation
Correct answer: D
मान लें कि लड़कियों की संख्या = x
तो लड़कों की संख्या = 4x
कुल छात्र = x + 4x = 5x
अर्थात् कुल संख्या 5 का गुणज (multiple of 5) होनी चाहिए।
अब विकल्प जाँचें —
66 → 5 से विभाजित नहीं
54 → 5 से विभाजित नहीं
56 → 5 से विभाजित नहीं
65 → 5 से विभाजित (5 × 13) ✅
इसलिए सही उत्तर है 65, क्योंकि यह 5 का गुणज है।
Let the number of girls = x
Then, number of boys = 4x
Total students = x + 4x = 5x
So the total must be a multiple of 5.
Check the options —
66 → not divisible by 5
54 → not divisible by 5
56 → not divisible by 5
65 → divisible by 5 (5 × 13) ✅
Hence, the correct total number of students is 65.