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15 Feb 2024, 06:22
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Minimum: 15
Impossible: 25
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
93% (01:33) correct
7%
(02:13)
wrong
based on 567
sessions
History
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A group of friends plans to travel to a neighboring island for their summer vacation but is divided on the mode of transport. Exactly two-fifths of the group wants to travel by ship, while exactly one-third prefers air travel.
In the table below, select for Minimum the least possible number of friends in the group, and select for Impossible the option that cannot be the number of friends in the group.
In the table below, select for Minimum the least possible number of friends in the group, and select for Impossible the option that cannot be the number of friends in the group.
| Minimum | Impossible | |
| 15 | ||
| 25 | ||
| 30 | ||
| 45 | ||
| 75 | ||
| 105 |
ShowHide Answer
Official Answer
Minimum: 15
Impossible: 25
03 Feb 2025, 09:42
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Bunuel
Official Solution:
Since exactly 2/5 of the group wants to travel by ship and exactly 1/3 prefers air travel, the total number of friends must be a multiple of 3 * 5 = 15. This makes the least possible number of friends in the group 15, and any option that is not a multiple of 15 impossible. Among the options, only 25 is not a multiple of 15.
Correct answer:
Minimum "15"
Impossible "25"
Attachment:
GMAT-Club-Forum-0o5fjayg.png [ 9.97 KiB | Viewed 1072 times ]
04 Apr 2025, 22:35
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1. The question asks us to essentially figure out some info on the number of friends.
2. The only information given is, "Exactly two-fifths of the group wants to travel by ship, while exactly one-third prefers air travel." Exactly of a fraction means that the number of friends is divisible by the denominator.
3. So, the number of friends is divisible by 5 and by 3, or by 15.
4. The minimum is the smallest answer choice that is divisible by 15, which is 15. Impossible is the answer option that is not divisible by 15, which can only be 25.
5. Our answer will be: Minimum - 15 and Impossible - 25.
2. The only information given is, "Exactly two-fifths of the group wants to travel by ship, while exactly one-third prefers air travel." Exactly of a fraction means that the number of friends is divisible by the denominator.
3. So, the number of friends is divisible by 5 and by 3, or by 15.
4. The minimum is the smallest answer choice that is divisible by 15, which is 15. Impossible is the answer option that is not divisible by 15, which can only be 25.
5. Our answer will be: Minimum - 15 and Impossible - 25.
