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# There are 40 students in a classroom, 9/20 of them are boys

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There are 40 students in a classroom, 9/20 of them are boys [#permalink]  22 Jun 2009, 10:04
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There are 40 students in a classroom, 9/20 of them are boys and 4/5 of them are right-handed. How many right-handed boys are there in the classroom?

A. Between 10 and 32.
B. Between 14 and 32.
C. Between 10 and 18.
D. Between 14 and 18.
E. Between 18 and 36.

this is a very easy problem but i am confused............ between two answers C and D
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Re: Unitary method problem:easy problem but confusing answer [#permalink]  22 Jun 2009, 17:42
even i marked this answer but it was given D as the answer???
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Re: Unitary method problem:easy problem but confusing answer [#permalink]  22 Jun 2009, 22:10
No. of boys = [m]40 * \frac{9}{20}[/m]
=18.
No. of right handed boys = 4/5 of 18
or (d) Between 14 and 18.
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Re: Unitary method problem:easy problem but confusing answer [#permalink]  23 Jun 2009, 00:23
IMO the answer is C but writing of problem made it confusing. This question is will be a good sentence correction question rather than a problem solving question.
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Re: Unitary method problem:easy problem but confusing answer [#permalink]  24 Jun 2009, 05:56
mdfrahim wrote:
No. of boys = $$40 * \frac{9}{20}$$
=18.
No. of right handed boys = 4/5 of 18
or (d) Between 14 and 18.

I did the same but reading carefully the question it looks misleading: it is not clear if the 4/5 represents the right-handed part of the boys or of the whole bunch of students.
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Re: Unitary method problem:easy problem but confusing answer [#permalink]  26 Jun 2009, 11:57
I got the answer as D as well. I think they made the wording confusing on purpose but accomodated it by giving a range in the answers.
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Re: Unitary method problem:easy problem but confusing answer [#permalink]  15 Apr 2012, 03:07
The question again is very badly worded. What they want you to work out is:

that 9/20 of the class are boys = 40 x 9/20 = 18

and then

4/5 of the class are right handed = 40 x 4/5 = 32

All 18 boys could be right handed or a minimum of 10 could be right handed as 8 people in the class are left handed. If all the left handed pupils are boys then 18 - 8 = 10 right handers.

Answer is C between 18 and 10
The way they right it leads you to believe that 4/5 of the boys are right handed but you can't have 14.4 boys. The starting question needs to be alterred so it states 4/5 of the class are right handed.
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Re: Unitary method problem:easy problem but confusing answer [#permalink]  15 Apr 2012, 03:47
as per the given question wording it should be C
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Re: There are 40 students in a classroom, 9/20 of them are boys [#permalink]  15 Apr 2012, 05:04
+1 C

I drew up a table & then tried solving it

You have 22 girls & 18 boy out of which only 32 are right handed. You can have max girls => 22 then 10 boys
Max boys => 18 then max girls => 14 girls

Hence C
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Re: There are 40 students in a classroom, 9/20 of them are boys [#permalink]  15 Apr 2012, 05:27
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apurva1985 wrote:
There are 40 students in a classroom, 9/20 of them are boys and 4/5 of them are right-handed. How many right-handed boys are there in the classroom?

A. Between 10 and 32.
B. Between 14 and 32.
C. Between 10 and 18.
D. Between 14 and 18.
E. Between 18 and 36.

this is a very easy problem but i am confused............ between two answers C and D

I agree that the wording of the question could have been better. For example the question should ask what is the minimum and the maximum # of right-handed boys possible, in this case the answer would be: 10 and 18.

Given that there are 18 boys (9/20*40=18) and 22 girls in the class. Also we know that out of 40 students 32 are right-handed (4/5*40=32).

Maximum number of right-handed boys possible is if ALL 18 boys are right-handed;
Minimum number of right-handed boys possible is if ALL 22 girls are right-handed, so in this case 32-22=10 boys would be right-handed.

Hope it's clear.
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Re: There are 40 students in a classroom, 9/20 of them are boys [#permalink]  18 Aug 2013, 09:03
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Re: There are 40 students in a classroom, 9/20 of them are boys   [#permalink] 18 Aug 2013, 09:03
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