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A: 21
B: 17
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
89% (02:24) correct
11%
(02:58)
wrong
based on 240
sessions
History
Date
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Not Attempted Yet
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A museum issued a certain number of annual passes. 15% of the passes were never activated. Of the activated passes, 40% were Family passes and 60% were Individual passes. Among the activated passes, 21/34 of the Family passes and 1/3 of the Individual passes were used fewer than 6 times during the month.
Of all passes issued, A percent are Family passes that were used fewer than 6 times during the month, and B percent are Individual passes that were used fewer than 6 times during the month.
Select for A and for B the options that complete the statement so that it is most accurate based on the information provided. Make only two selections, one in each column.
I31-40
| A | B | |
| 17 | ||
| 20 | ||
| 21 | ||
| 24 | ||
| 25 | ||
| 28 |
ShowHide Answer
Official Answer
A: 21
B: 17
25 Dec 2025, 10:00
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A museum issued a certain number of annual passes. 15% of the passes were never activated. Of the activated passes, 40% were Family passes and 60% were Individual passes. Among the activated passes, 21/34 of the Family passes and 1/3 of the Individual passes were used fewer than 6 times during the month.
Of all passes issued, A percent are Family passes that were used fewer than 6 times during the month, and B percent are Individual passes that were used fewer than 6 times during the month.
Select for A and for B the options that complete the statement so that it is most accurate based on the information provided. Make only two selections, one in each column.
Take the whole population as 100% of passes.
15% were never activated, so 85% were activated.
Family and used fewer than 6 times:
Of the activated passes, 40% were Family, so Family activated = 0.85 * 0.40 = 34% of all passes.
Of those Family passes, 21/34 were used fewer than 6 times, so 34% * 21/34 = 21%.
So A = 21.
Individual and used fewer than 6 times:
Of the activated passes, 60% were Individual, so Individual activated = 0.85 * 0.60 = 51% of all passes.
Of those Individual passes, 1/3 were used fewer than 6 times, so 51% * 1/3 = 17%.
So B = 17.
GMAT-Club-Forum-qjz7jz03.png [ 10.6 KiB | Viewed 1372 times ]
Of all passes issued, A percent are Family passes that were used fewer than 6 times during the month, and B percent are Individual passes that were used fewer than 6 times during the month.
Select for A and for B the options that complete the statement so that it is most accurate based on the information provided. Make only two selections, one in each column.
GMAT Club Official Explanation:
Take the whole population as 100% of passes.
15% were never activated, so 85% were activated.
Family and used fewer than 6 times:
Of the activated passes, 40% were Family, so Family activated = 0.85 * 0.40 = 34% of all passes.
Of those Family passes, 21/34 were used fewer than 6 times, so 34% * 21/34 = 21%.
So A = 21.
Individual and used fewer than 6 times:
Of the activated passes, 60% were Individual, so Individual activated = 0.85 * 0.60 = 51% of all passes.
Of those Individual passes, 1/3 were used fewer than 6 times, so 51% * 1/3 = 17%.
So B = 17.
Attachment:
GMAT-Club-Forum-qjz7jz03.png [ 10.6 KiB | Viewed 1372 times ]
General Discussion
25 Dec 2025, 09:32
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Let total issued passes= 100
Never activated = 15% of 100= 15
Activated passes= 100-15=85
Family passes= 40% of 85 = 34
Individual passes= 60% of 85= 51
21/34 family passes were used fewer than 6 times = 21/34 *34=21
1/3 individual passes were used fewer than 6 times = 1/3 *51=17
A=21% and B=17%
Never activated = 15% of 100= 15
Activated passes= 100-15=85
Family passes= 40% of 85 = 34
Individual passes= 60% of 85= 51
21/34 family passes were used fewer than 6 times = 21/34 *34=21
1/3 individual passes were used fewer than 6 times = 1/3 *51=17
A=21% and B=17%
