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11 May 2021, 21:00
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Taking at least one of
economics and history: 160 Taking both
economics and history: 83
economics and history: 160 Taking both
economics and history: 83
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:
68% (02:31) correct
32%
(02:43)
wrong
based on 1097
sessions
History
Date
Time
Result
Not Attempted Yet
At University X, there are 146 students who are taking economics and 97 students whoare taking history.
In the table below, pick two numbers that are consistent with the information that is given. In the first column, select the row that shows the number of students at University X who are taking at least one of economics and history, and in the second column, select the row that shows the number of students at University X who are taking both economics and history.
In the table below, pick two numbers that are consistent with the information that is given. In the first column, select the row that shows the number of students at University X who are taking at least one of economics and history, and in the second column, select the row that shows the number of students at University X who are taking both economics and history.
|
Taking at least one of economics and history |
Taking both economics and history |
Possible answers |
| 78 | ||
| 83 | ||
| 104 | ||
| 154 | ||
| 160 | ||
| 164 |
ShowHide Answer
Official Answer
Taking at least one of
economics and history: 160 Taking both
economics and history: 83
economics and history: 160 Taking both
economics and history: 83
rocky620
Retired Moderator
Joined: 10 Nov 2018
Last visit: 11 May 2023
Posts: 480
Given Kudos: 229
Location: India
Concentration: General Management, Strategy
Schools: IIMA PGPX'22 IIMB EPGP'22 IIMC PGPEX'22 ISB'22
GMAT 1: 590 Q49 V22
WE:Other (Retail: E-commerce)
20 Jul 2021, 12:33
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Let,
The Students who took Economics = E = 146
The Students who took History = H = 97
The Students who took Both = B
The Students who took Neither = N
Total Students = T
T = E+H-B+N
T = 243-B+N
T-N = 243-B.......EQ-1
We are required to find the number of students who took atleast 1 subject = T-N, ans students who took both the subjects = B
Substituting values for B in EQ-1
When,
B=78, T-N=165
B=83, T-N=160......CORRECT ANSWER
B=104, T-N=139
B=154, T-N=89
B=160, T-N=83
B=164, T-N=79
The Students who took Economics = E = 146
The Students who took History = H = 97
The Students who took Both = B
The Students who took Neither = N
Total Students = T
T = E+H-B+N
T = 243-B+N
T-N = 243-B.......EQ-1
We are required to find the number of students who took atleast 1 subject = T-N, ans students who took both the subjects = B
Substituting values for B in EQ-1
When,
B=78, T-N=165
B=83, T-N=160......CORRECT ANSWER
B=104, T-N=139
B=154, T-N=89
B=160, T-N=83
B=164, T-N=79
General Discussion
15 May 2021, 02:08
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Hi, it should be 160 for "Taking at least one of economics and history" and 83 for "Taking both economics and history".
Since the max no of students for history is 97 students, the number of students taking both economics and history should be lesser than 97 students.
Do let me know if this is right, thanks!
Since the max no of students for history is 97 students, the number of students taking both economics and history should be lesser than 97 students.
Do let me know if this is right, thanks!
