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03 Mar 2022, 06:00
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
69% (02:15) correct
31%
(02:33)
wrong
based on 182
sessions
History
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Time
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Not Attempted Yet
Originally, 70% of the clients at Bob’s Dating Bistro were male. After z of the female clients left, the service still had 74 clients. Which of the following could be the value of z?
I. 6
II. 12
III. 16
A. I only
B. II only
C. III only
D. I and III only
E. I, II, and III
I. 6
II. 12
III. 16
A. I only
B. II only
C. III only
D. I and III only
E. I, II, and III
kungfury42
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03 Mar 2022, 16:40
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After z clients left, the Bistro had 74 clients which means initially it had 74+z clients, 70% of which were males.
Clearly, we have to check for each value of z here whether 70% of 74+z results in an integer.
(1) z = 6, 74+z = 80, 70% of 80 = 56. Integer. Keep.
(2) z = 12, 74+z = 86, 70% of 86 = 60.2 Non-integer. Eliminate.
(3) z = 16, 74+z = 90, 70% of 90 = 63. Integer. Keep.
Hence, statements (1) and (3) only, option D.
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Clearly, we have to check for each value of z here whether 70% of 74+z results in an integer.
(1) z = 6, 74+z = 80, 70% of 80 = 56. Integer. Keep.
(2) z = 12, 74+z = 86, 70% of 86 = 60.2 Non-integer. Eliminate.
(3) z = 16, 74+z = 90, 70% of 90 = 63. Integer. Keep.
Hence, statements (1) and (3) only, option D.
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Engineer1
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22 Nov 2023, 11:08
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Bunuel
GMATNinja MartyMurray KarishmaB
This is 650-700 level question. I did think that the non integer option will be eliminated. But is it the way to go about this problem? Can I not approximate the number? Afterall, it is a could be not a must be true question.
I started with answer choices and got I, III as true.
But with II, total number of clients = 74 + 12 = 86. 70% of 86 is 60.2 (approx. 60) male clients. Therefore, 26 female client originally. 12 left, so now 14 are left. It matches up with 74 approximately (60 + 14 = 74). What is wrong with this? Thank you!
