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kiran120680
Moderator - Masters Forum
Joined: 18 Feb 2019
Last visit: 27 Jul 2022
Posts: 706
Given Kudos: 276
Location: India
Schools: AGSM '20 EDHEC Sept 2019 Intake Great Lakes '21 IE
GMAT 1: 460 Q42 V13
GPA: 3.6
07 Mar 2019, 01:07
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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:
55%
(hard)
Question Stats:
66% (02:18) correct
34%
(02:21)
wrong
based on 266
sessions
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In a game five students A,B,C,D and E got 3,1,c,d and e scores respectively. If the median score is c and each student get a distinct integer score greater than or equal to 1, which of the following must be true?
I. The average score of the five students is greater than 3.
II. D scored more than 4.
III. Exactly one of D or E scored 2.
A. I only
B. I & II only
C. II & III only
D. I & III only
E. I,II & III
I. The average score of the five students is greater than 3.
II. D scored more than 4.
III. Exactly one of D or E scored 2.
A. I only
B. I & II only
C. II & III only
D. I & III only
E. I,II & III
07 Mar 2019, 06:36
Kudos
Bookmarks
In a game five students A,B,C,D and E got 3,1,c,d and e scores respectively. If the median score is c and each student get a distinct integer score greater than or equal to 1, which of the following must be true?
Before we move to options, let us see what does the given information tell us..
c as the median means it is the 3rd value in ascending order....
But if any of c, d, or e is 2, the ascending order will be 1, 2, 3, _, _, so 3 and NOT c will be the median.
This tells us that there is no 2 in the set
This further tells us that c>3 and D and E are more than c or more than 4
I. The average score of the five students is greater than 3.
Let us take the least possible value ----- 1, 3, 4, 5, 6 so average = 19/6 >3..TRUE
II. D scored more than 4.
c is at least 4, and D is greater than c or >4....TRUE
III. Exactly one of D or E scored 2.
No one has scored 2, so FALSE
A. I only
B. I & II only
C. II & III only
D. I & III only
E. I,II & III
Option I and II are true, hence B
Before we move to options, let us see what does the given information tell us..
c as the median means it is the 3rd value in ascending order....
But if any of c, d, or e is 2, the ascending order will be 1, 2, 3, _, _, so 3 and NOT c will be the median.
This tells us that there is no 2 in the set
This further tells us that c>3 and D and E are more than c or more than 4
I. The average score of the five students is greater than 3.
Let us take the least possible value ----- 1, 3, 4, 5, 6 so average = 19/6 >3..TRUE
II. D scored more than 4.
c is at least 4, and D is greater than c or >4....TRUE
III. Exactly one of D or E scored 2.
No one has scored 2, so FALSE
A. I only
B. I & II only
C. II & III only
D. I & III only
E. I,II & III
Option I and II are true, hence B
