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14 May 2025, 06:58
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D
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A survey of 110 people revealed that 65 of those surveyed own stocks and 82 of those surveyed own bonds. How many of the people surveyed own stocks but do not own bonds?
(1) 50 of the people surveyed own both stocks and bonds.
(2) 13 of the people surveyed do not own either stocks or bonds.
(1) 50 of the people surveyed own both stocks and bonds.
(2) 13 of the people surveyed do not own either stocks or bonds.
14 May 2025, 07:13
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radhikamehta
Could you share a screenshot confirming that this question is actually from GMAT Prep Focus? Just want to make sure about the source. Thank you!
Updated on: 14 May 2025, 07:25
Originally posted by MartyMurray on 14 May 2025, 07:18.
Last edited by MartyMurray on 14 May 2025, 07:25, edited 1 time in total.
Last edited by MartyMurray on 14 May 2025, 07:25, edited 1 time in total.
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A survey of 110 people revealed that 65 of those surveyed own stocks and 82 of those surveyed own bonds. How many of the people surveyed own stocks but do not own bonds?
We have two overlapping sets. So, we can use the following formula.
Total = A + B - Both + Neither
The passage provides Total: 100, A: 65, and B: 82.
(1) 50 of the people surveyed own both stocks and bonds.
From the passage:
65 of those surveyed own stocks
Using the information from this choice we can calculate the number who own only stocks as follows:
A - Both = Only A
65 - 50 = 15 who own stocks but do not own bonds
Sufficient.
(2) 13 of the people surveyed do not own either stocks or bonds.
Using the formula:
110 = 65 + 82 - Both + 13
110 = 160 - Both
Both = 50
65 - 50 = 15 who own stocks but not bonds.
Sufficient.
Correct answer: D
We have two overlapping sets. So, we can use the following formula.
Total = A + B - Both + Neither
The passage provides Total: 100, A: 65, and B: 82.
(1) 50 of the people surveyed own both stocks and bonds.
From the passage:
65 of those surveyed own stocks
Using the information from this choice we can calculate the number who own only stocks as follows:
A - Both = Only A
65 - 50 = 15 who own stocks but do not own bonds
Sufficient.
(2) 13 of the people surveyed do not own either stocks or bonds.
Using the formula:
110 = 65 + 82 - Both + 13
110 = 160 - Both
Both = 50
65 - 50 = 15 who own stocks but not bonds.
Sufficient.
Correct answer: D
