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#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.  # On a certain exam, 2/5 of the questions involve reading comprehension

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Intern  B
Joined: 13 May 2020
Posts: 29
Location: United Kingdom
Schools: Wharton, Kellogg
On a certain exam, 2/5 of the questions involve reading comprehension  [#permalink]

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2 00:00

Difficulty:   35% (medium)

Question Stats: 70% (01:48) correct 30% (01:33) wrong based on 46 sessions

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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.
Manager  S
Joined: 09 May 2017
Posts: 72
Location: India
GMAT 1: 610 Q42 V33 GMAT 2: 620 Q45 V31 GPA: 4
WE: Engineering (Energy and Utilities)
Re: On a certain exam, 2/5 of the questions involve reading comprehension  [#permalink]

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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
Manager  G
Joined: 19 Apr 2017
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Schools: ESSEC '22
GPA: 3.9
WE: Operations (Hospitality and Tourism)
Re: On a certain exam, 2/5 of the questions involve reading comprehension  [#permalink]

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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, $$R= \frac{8}{3}*C$$

Intern  B
Joined: 19 Mar 2014
Posts: 5
Schools: AIM '17
Re: On a certain exam, 2/5 of the questions involve reading comprehension  [#permalink]

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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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Board of Directors D
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 5012
Location: India
GPA: 3.5
Re: On a certain exam, 2/5 of the questions involve reading comprehension  [#permalink]

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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)
_________________
Thanks and Regards

Abhishek....

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How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only ) 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  