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# The children totally donated 28 clothes to an institution.

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Senior Manager
Joined: 10 Dec 2004
Posts: 274
Followers: 1

Kudos [?]: 52 [0], given: 0

The children totally donated 28 clothes to an institution. [#permalink]  21 Jan 2005, 13:17
The children totally donated 28 clothes to an institution. If the range of the numbers of the clothes denoted by each child is 2, how many children denoted exactly 3 clothes?
I:0
II:5
III:9
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"Forums are meant to benefit all. No one is interested in knowing what your guesses are. Please explain the reasoning behind the answer you chose. This will also help you organize your thoughts quickly during the exam."

SVP
Joined: 03 Jan 2005
Posts: 2250
Followers: 13

Kudos [?]: 216 [0], given: 0

Is the first word "Ten" instead of "The"?

And if this is the case then the answer is 9.
Senior Manager
Joined: 10 Dec 2004
Posts: 274
Followers: 1

Kudos [?]: 52 [0], given: 0

Yes it is ten. Sorry for typo. How did u get 9?
SVP
Joined: 03 Jan 2005
Posts: 2250
Followers: 13

Kudos [?]: 216 [0], given: 0

It can't be zero, since if so the question implies everybody donated four or more, other wise the range could not be two. However the minimum must be smaller than 3 since otherwise total clothes would be more than 30. You could test the other two out from here.

Or you could assume numbers of children who donated 1, 2, 3 clothes are a, b, c.

a+2b+3c=28
a+b+c=10
=>b+2c=18
since b+c<10 =>c>8 => Only option available is c=9.
SVP
Joined: 03 Jan 2005
Posts: 2250
Followers: 13

Kudos [?]: 216 [0], given: 0

Of course the question doesn't seem to be very good. Since there are more than one answer to this question, although it didn't list those out.

(For example 3*2+6*3+1*4=28.)
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