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# 154 candies are distributed to children so that each child

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Director
Joined: 14 Sep 2005
Posts: 984

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Location: South Korea
154 candies are distributed to children so that each child [#permalink]

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16 Dec 2005, 00:16
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154 candies are distributed to children so that each child receives the same number of candies. What canâ€™t be the range of the number of children?

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

Auge um Auge, Zahn um Zahn !

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Director
Joined: 10 Oct 2005
Posts: 713

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Re: PS - Candies (easy but kinda new) [#permalink]

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16 Dec 2005, 01:29
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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CEO
Joined: 20 Nov 2005
Posts: 2892

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Schools: Completed at SAID BUSINESS SCHOOL, OXFORD - Class of 2008

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16 Dec 2005, 03:59
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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Intern
Joined: 18 Jul 2003
Posts: 12

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16 Dec 2005, 04:09
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!!!!

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Director
Joined: 09 Jul 2005
Posts: 589

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17 Dec 2005, 04:22
154=2Â·77
154=22Â·7
154=14Â·11

Therefore D is the solution.

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17 Dec 2005, 04:22
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