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Bunuel
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Bunuel
Each person in a room is a junior or a senior. The number of juniors in the room is 7 times the number of seniors. Which of the following could be the number of people in the room?

I. 14
II. 35
III. 48

A. I only
B. III only
C. I and II only
D. II and III only
E. I, II, and III

Let the number of senior in the room be x.
Then, juniors are 7x.
Therefore, total number of people = x + 7x = 8x
As number will be positive integer, it should be multiple of 8.

Only III. satisfies this condition.
Hence, OA is (B).
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1.
J + S = 14
7S + S =14
8S = 14
S= 14/8
Not possible, need an integer

2.
8S = 35
S = 35/8
Not possible, need an integer

3.
8S = 48
S = 6
possible
Ans = B
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