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28 Apr 2025, 00:30
Kudos
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C
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:
96% (00:48) correct
4%
(00:42)
wrong
based on 55
sessions
History
Date
Time
Result
Not Attempted Yet
Each student in a room is a sophomore, a junior, or a senior. Each of these students has exactly one of the categorizations of sophomore, junior, and senior. How many students in the room are seniors?
(1) There are a total of 36 students in the room, of which 1/3 are sophomores.
(2) There are 14 juniors in the room.
(1) There are a total of 36 students in the room, of which 1/3 are sophomores.
(2) There are 14 juniors in the room.
28 Apr 2025, 01:01
Kudos
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Let sophomore, a junior, or a senior be p,j and s
s=?
Statement 1
p+j+s = 36
p=1/3 * 36 = 12
s+j = 24
We cannot identify the split of s and j
Insufficient
Statement 2
j = 14
We don't know anything about total of s or p
Insufficient
Combined, we have s= 24-j and j = 14. Sufficient
Answer C
s=?
Statement 1
p+j+s = 36
p=1/3 * 36 = 12
s+j = 24
We cannot identify the split of s and j
Insufficient
Statement 2
j = 14
We don't know anything about total of s or p
Insufficient
Combined, we have s= 24-j and j = 14. Sufficient
Answer C
Bunuel
28 Apr 2025, 10:11
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Bunuel
Let the total number of students be N.
N = sophomore + junior + senior.
Given, each student fits into this category or group.
Statement 1:
(1) There are a total of 36 students in the room, of which 1/3 are sophomores.
N = 36
and sophomores = 1/3*N = 1/3*(36) = 12.
Junior + senior = 24
Since, we don’t know anything about Juniors or seniors. Insufficient.
Statement 2:
(2) There are 14 juniors in the room.
This statement standalone is not sufficient to answer the question. Hence, Insufficient.
Combining statements 1 and 2, we get
N= sophomore + junior + senior =36
Sophomore =12
junior = 14
N = 12+ 14 + senior = 36
Thus, Senior = 10. option C
