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01 Jul 2020, 11:11
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
90% (01:00) correct
10%
(01:08)
wrong
based on 58
sessions
History
Date
Time
Result
Not Attempted Yet
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
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
01 Jul 2020, 11:29
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Explanation:
J=7xS
1. Total: 14
J+S =14
7S + S = 14
S=14/8 (No Integer)
2. Total: 35
J+S =35
8S = 35
S = 35/8 (No Integer)
3. Total: 48
J+S =48
8S = 48
S = 6 yes
IMO-B
J=7xS
1. Total: 14
J+S =14
7S + S = 14
S=14/8 (No Integer)
2. Total: 35
J+S =35
8S = 35
S = 35/8 (No Integer)
3. Total: 48
J+S =48
8S = 48
S = 6 yes
IMO-B
01 Jul 2020, 11:30
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Bunuel
Given: Each person in a room is a junior(j) or a senior(s) . The number of juniors in the room is 7 times the number of seniors.
Asked: Which of the following could be the number of people in the room?
j = 7s
j + s = s + 7s = 8s : multiple of 8
I. 14; NO
II. 35; NO
III. 48: 8*6; YES
IMO B
01 Jul 2020, 11:46
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Bunuel
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).
