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Intern Joined: 15 Sep 2017
Posts: 34
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Kudos [?]: 18 , given: 2

Each student in a class is to choose an optional subject. [#permalink] 00:00

Question Stats: 94% (01:09) correct 5% (02:25) wrong based on 19 sessions
Each student in a class to choose an optional subject.If $$\frac{1}{5}$$ chose math,$$\frac{1}{4}$$chose biology,$$\frac{1}{2}$$ chose history and the remaining 10 chose psychology.what is the number of students in the class?

A) 80

B) 110

C) 160

D) 200

E) 400
[Reveal] Spoiler: OA VP Joined: 20 Apr 2016
Posts: 1302
WE: Engineering (Energy and Utilities)
Followers: 22

Kudos [?]: 1342  , given: 251

Re: Each student in a class is to choose an optional subject. [#permalink]
1
KUDOS
AchyuthReddy wrote:
Each student in a class to choose an optional subject.If $$\frac{1}{5}$$ chose math,$$\frac{1}{4}$$chose biology,$$\frac{1}{2}$$ chose history and the remaining 10 chose psychology.what is the number of students in the class?

A) 80

B) 110

C) 160

D) 200

E) 400

Let X be the total no.

so $$x-\frac{x}{5}-\frac{x}{4}-\frac{x}{2} = 10$$

or $$x(1-\frac{1}{5}-\frac{1}{4}-\frac{1}{2}) = 10$$

or $$x = 10 * 20 = 200$$

------------------------------------------------

Another way to solve ,

just use the number from the solution

So if the total no. = 160,

then $$(\frac{1}{5} * 160) + (\frac{1}{4} * 160) + (\frac{1}{2} * 160)$$ = not equal to 160

move to option D

if the total no is 200 then

then $$(\frac{1}{5}* 200) + (\frac{1}{4} * 200) + (\frac{1}{2} * 200) = 200$$and hence our answer
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GRE Prep Club Members of the Month:TOP 10 members of the month with highest kudos receive access to 3 months GRE Prep Club tests Re: Each student in a class is to choose an optional subject.   [#permalink] 13 Sep 2018, 19:34
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