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Of the students in a certain class 10 can play piano,11 can [#permalink]
12 Jun 2008, 23:05

Of the students in a certain class 10 can play piano,11 can play guitar , 14 can play violon if 3 students can play all three instruments and 20 can play one of the instruments , how many students can play exactly 2 of the instruments

3 6 9 12 15

what is the most optimal way of solving these kind of questions

Mnay thanks _________________

The world is continuous, but the mind is discrete

Last edited by vd on 13 Jun 2008, 00:11, edited 1 time in total.

Re: of the students in a certain class [#permalink]
13 Jun 2008, 00:09

vdhawan1 wrote:

Of the students in a certain class 10 can play piano,11 can play guitar , 10 can play violon if 3 students can play all the instruments and 20 can play one of the instruments , how many students can play exactly 2 of the instruments

3 6 9 12 15

what is the most optimal way of solving these kind of questions

Re: of the students in a certain class [#permalink]
13 Jun 2008, 00:12

alpha_plus_gamma wrote:

vdhawan1 wrote:

Of the students in a certain class 10 can play piano,11 can play guitar , 10 can play violon if 3 students can play all the instruments and 20 can play one of the instruments , how many students can play exactly 2 of the instruments

3 6 9 12 15

what is the most optimal way of solving these kind of questions

Mnay thanks

Are you sure there is no typo in the problem?

ya i m sorry there was a typo

i have corrected it now can u please attempt the problem now

Re: of the students in a certain class [#permalink]
13 Jun 2008, 00:28

I suppose It must be A If 20 students play only 1 instrument than Only three students can play 2 instruments... there are no other ways However it took me 4 minutes to conclude that the best way to solve this particular task is - just to pick answer choices

What is AO?

Last edited by quantum on 13 Jun 2008, 00:33, edited 1 time in total.