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Company Z has 54 employees. If the number of employees having birthday

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Company Z has 54 employees. If the number of employees having birthday  [#permalink]

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New post Updated on: 18 Aug 2015, 14:37
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Question Stats:

61% (01:41) correct 39% (01:37) wrong based on 72 sessions

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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

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.
RENAMED THE TOPIC.
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Company Z has 54 employees. If the number of employees having birthday  [#permalink]

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New post 18 Aug 2015, 14:50
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niharika1001 wrote:
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


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.
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Re: Company Z has 54 employees. If the number of employees having birthday  [#permalink]

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New post 18 Aug 2015, 14:52
1
niharika1001 wrote:
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


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.
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Re: Company Z has 54 employees. If the number of employees having birthday  [#permalink]

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New post 18 Aug 2015, 15:11
Great help thanks !!
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Re: Company Z has 54 employees. If the number of employees having birthday  [#permalink]

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New post 12 Apr 2019, 18:39
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Re: Company Z has 54 employees. If the number of employees having birthday   [#permalink] 12 Apr 2019, 18:39
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