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On a certain exam, 2/5 of the questions involve reading comprehension

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On a certain exam, 2/5 of the questions involve reading comprehension  [#permalink]

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New post Updated on: 16 May 2020, 02:33
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On a certain exam, 2/5 of the questions involve reading comprehension and 1/4 of the remaining questions test critical reasoning. If the exam contained c critical reasoning questions, how many reading comprehension questions did the exam include, in terms of c?

A) 3/(20c)
B) 3c/8
C) 8c/5
D) 8c/3
E) 20c/3

I found the answer but more with picking number. Who can explain to me how to set up an algebraic equation for this problem?

Thanks so much to everyone

Originally posted by Eduardo86 on 16 May 2020, 02:16.
Last edited by Bunuel on 16 May 2020, 02:33, edited 1 time in total.
Renamed the topic and edited the question.
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Re: On a certain exam, 2/5 of the questions involve reading comprehension  [#permalink]

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New post 16 May 2020, 03:53
1
\(\frac{2}{5}\) = Rc que, remaining que =\(\frac{3}{5}\)
Cr que are denoted by c
so CR que are \(\frac{1}{4} of remaining que\) i.e.=\(\frac{3}{5}\)
c= \(\frac{1}{4}*\frac{3}{5}\)=\(\frac{3}{20}\)
Now lets say \(c*k(const.)=\frac{2}{5}\)---> \(\frac{3}{20}*k=\frac{2}{5}\)
Solving the equation we get \(k=\frac{8}{3}\)

Ans D
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Re: On a certain exam, 2/5 of the questions involve reading comprehension  [#permalink]

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New post 16 May 2020, 04:13
Total Rc Questions=R= 2T/5

T=\(\frac{5}{2}*R\) -----------> 1

Remaining questions = \(T-\frac{2}{5}=\frac{3}{5}\)

Total Cr Questions = \(\frac{1}{4}*\frac{3}{5}*T\)

\(T=\frac{20C}{3}\)-------2

Equating 1 & 2

\(\frac{5}{2}*R=\frac{20C}{3}\)

In terms of R, \(R= \frac{8}{3}*C\)

Answer D
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Re: On a certain exam, 2/5 of the questions involve reading comprehension  [#permalink]

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New post 16 May 2020, 04:19
1
Take Total = 1
RC = 2/5
Remaining = 1- 2/5 = 3/5
CR = c = 1/4 * 3/5 =3/20

Now, we need to express 2/5 in terms of c.
Apply unitary method to calculate how many c’s will make 2/5.
Divide 2/5 by value of 1c (3/20), and it will give (8/3)c.

Ans D.

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Re: On a certain exam, 2/5 of the questions involve reading comprehension  [#permalink]

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New post 16 May 2020, 05:23
1
Eduardo86 wrote:
On a certain exam, 2/5 of the questions involve reading comprehension and 1/4 of the remaining questions test critical reasoning. If the exam contained c critical reasoning questions, how many reading comprehension questions did the exam include, in terms of c?

A) 3/(20c)
B) 3c/8
C) 8c/5
D) 8c/3
E) 20c/3

I found the answer but more with picking number. Who can explain to me how to set up an algebraic equation for this problem?

Thanks so much to everyone


Let Total questions be 20
Total RC Questions is 8 ; remaining questions is 12
CR questions is 3 ( =c)

Now, 3 represents c
So, Now, 1 represents c/3
And 8 represents 8c/3 , Answer must be (D)
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Abhishek....

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Re: On a certain exam, 2/5 of the questions involve reading comprehension   [#permalink] 16 May 2020, 05:23

On a certain exam, 2/5 of the questions involve reading comprehension

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