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19 May 2021, 07:00
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
63% (01:06) correct
37%
(00:52)
wrong
based on 108
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50 students of a certain class took a test. How many of them got a score less than 82?
(1) The average score is 82.
(2) The median score is 82.
(1) The average score is 82.
(2) The median score is 82.
22 May 2021, 06:51
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Bunuel
50 students of a certain class took a test. How many of them got a score less than 82?
(1) The average score is 82.
(2) The median score is 82.
(1) The average score is 82.
(2) The median score is 82.
1) Average score of 50 students = 82
Total score of 50 students = 410
Doesn't help - Insufficient!
2)Median = 82
Which means \(\frac{25th student's score + 26th student's score}{2} = 82\)
25th student's score + 26th student's score= 164
Case1:
25th student's score = 26th student's score = 82. In this case, number of students who got a score of less than 82 = 24
Case2:
25th student's score = 81, 26th's score = 83. In this case, number of students who got a score of less than 82 = 25
Insufficient!
Even after combining, it is insufficient. Hence, (E)
RiyaJain69
Joined: 30 Dec 2020
Last visit: 13 Dec 2024
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Location: India
Schools: IIMC '25 (WA) IIMB '25 (D) IIMA PGPX'25 (D)
GMAT 1: 700 Q48 V39
21 Jul 2021, 05:05
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Why isn't this one's answer C? When we combine both the statements, we learn that mean = median. And we know that mean and median are equal only when all the values in the set are equal. So if we combine statements 1 and 2, we get our answer, that nobody scored less than 82 since all of them scored exactly 82. So answer should be C.
Am I wrong somewhere? Bunuel, would greatly appreciate your insights. Thanks in advance!
Am I wrong somewhere? Bunuel, would greatly appreciate your insights. Thanks in advance!
