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GRE general question
[#permalink]
19 Oct 2014, 21:28
19 Oct 2014, 21:28
Hi all,
i have a question while preparing for GAT.
In an examination paper of 5 Questions, 5 percent of the candidates answered all of them and 5 percent none of the rest,25 percent answered only one question,20 percent only 4.if 24 1/2 percent of the entire candidates answered only two questions and 200 answered only 3 questions,how many candidates appeared in examination?
please help me in finding out
i have a question while preparing for GAT.
In an examination paper of 5 Questions, 5 percent of the candidates answered all of them and 5 percent none of the rest,25 percent answered only one question,20 percent only 4.if 24 1/2 percent of the entire candidates answered only two questions and 200 answered only 3 questions,how many candidates appeared in examination?
please help me in finding out
Director
Joined: 16 May 2014
Posts: 592
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GRE 1: Q165 V161
Re: GRE general question
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20 Oct 2014, 06:46
20 Oct 2014, 06:46
1
Expert Reply
Let there be 100x candidates who appeared for the exam.
So thats an exhaustive set, so we can write
\(5x+25x+24.5x+200+20x+5x = 100x\)
Therefore 20.5x = 200;
Now 100 x is the total number of candidates who appear in the exam. Easy to find, but the value is not coming to an integer. You sure you got all the values right?
| Numver of Candidates | Number Of questions |
| 5x | 0 |
| 25x | 1 |
| 24.5x | 2 |
| 200 | 3 |
| 20x | 4 |
| 5x | 5 |
So thats an exhaustive set, so we can write
\(5x+25x+24.5x+200+20x+5x = 100x\)
Therefore 20.5x = 200;
Now 100 x is the total number of candidates who appear in the exam. Easy to find, but the value is not coming to an integer. You sure you got all the values right?
gmatclubot
Re: GRE general question [#permalink]
20 Oct 2014, 06:46
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