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Updated on: 18 Aug 2015, 14:37
Originally posted by niharika1001 on 18 Aug 2015, 14:34.
Last edited by Bunuel on 18 Aug 2015, 14:37, edited 1 time in total.
Last edited by Bunuel on 18 Aug 2015, 14:37, edited 1 time in total.
RENAMED THE TOPIC.
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
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Question Stats:
68% (01:53) correct
32%
(01:51)
wrong
based on 258
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Company Z has 54 employees. If the number of employees having birthdays on Wednesday is more than the number of employees having birthdays on any other day of the week, each of which have same number of birth-days, what is the minimum number of employees having birthdays on Wednesday.
A. 6
B. 7
C. 8
D. 9
E. 12
A. 6
B. 7
C. 8
D. 9
E. 12
ENGRTOMBA2018
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Concentration: Finance, Strategy
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GMAT 1: 750 Q49 V44
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18 Aug 2015, 14:50
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niharika1001
Question in which the options will help us.
Given: number of people having their birthdays on wednesdays = W > any other day (=6).
The correct answer will give you a number divisible by 6 when you do (54 - correct answer). Only options A and D give a number divisible by 6 when subtracted from 54 as shown below:
A. 6 ----> 54-6 =48 , divisible by 6. Keep
B. 7 ----> 54-7 =47 , not divisible by 6. Eliminate.
C. 8 ----> 54-8 =46 , not divisible by 6. Eliminate.
D. 9 ----> 54-9 =45 , not divisible by 6. Eliminate.
E. 12 ----> 54-12 =42 , divisible by 6. Keep
Using option A, we get number of people with bdays on wednesday = 6 and the number of people on other days = 48/6=8. This is NOT allowed as the question mentions that the number of people having birthdays on wednesdays is greater than the number of people having bdays on any other day of the week. Thus eliminate A and E is the correct answer.
Check: Per E, number of people having bdays on wednesdays = 12, number of people on other days = 42/6 = 7. This does satisfy the requirement of the question and is thus the correct.
18 Aug 2015, 14:52
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niharika1001
Say the number of people having birthdays on Wednesday is x and the number of people having birthdays on each of the other 6 days is y. then x + 6y = 54.
Now, plug options for x. Only A and E give an integer value for y. But only for E x > y as needed.
Answer: E.
