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154 candies are distributed to children so that each child

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Director
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154 candies are distributed to children so that each child [#permalink] New post 15 Dec 2005, 23:16
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions
154 candies are distributed to children so that each child receives the same number of candies. What can’t be the range of the number of children?

A. 01~10
B. 10~20
C. 20~30
D. 40~50
E. 70~80

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Auge um Auge, Zahn um Zahn :twisted: !

Director
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Re: PS - Candies (easy but kinda new) [#permalink] New post 16 Dec 2005, 00:29
gamjatang wrote:
154 candies are distributed to children so that each child receives the same number of candies. What can’t be the range of the number of children?

A. 01~10
B. 10~20
C. 20~30
D. 40~50
E. 70~80

D 154/40~50 no integers
It took me 5 min))) just because i didn't read the stem carefuly)) First I started to solve for possible range))
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 [#permalink] New post 16 Dec 2005, 02:59
Ans = D

154 is divisible by 2,7,11,14,22 and 77. Only these can be either number of children or number of candies distributed for equal distribution.

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SAID BUSINESS SCHOOL, OXFORD - MBA CLASS OF 2008

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 [#permalink] New post 16 Dec 2005, 03:09
D.

Is there a short-cut to solving this problem. I tried by taking each integer in the given ranges and finding if it was a factor of 154. This took a lot of time!!!!
Director
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 [#permalink] New post 17 Dec 2005, 03:22
154=2·77
154=22·7
154=14·11

Therefore D is the solution.
  [#permalink] 17 Dec 2005, 03:22
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154 candies are distributed to children so that each child

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