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600 students took the test on English and Maths. 35% students failed

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600 students took the test on English and Maths. 35% students failed  [#permalink]

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New post 01 Nov 2019, 05:52
4
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A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

68% (02:43) correct 32% (02:56) wrong based on 74 sessions

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600 students took the test on English and Maths. 35% students failed in english and 45% failed in maths. 40% of those who passed in maths also passed in english, then how many students failed in both ?

A. 162
B. 138
C. 60
D. 38
E. 12


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Re: 600 students took the test on English and Maths. 35% students failed  [#permalink]

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New post 01 Nov 2019, 06:34
Bunuel wrote:
600 students took the test on English and Maths. 35% students failed in english and 45% failed in maths. 40% of those who passed in maths also passed in english, then how many students failed in both ?

A. 162
B. 138
C. 60
D. 38
E. 12


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From below table structure, Students failed in both subjects = 12
Image

IMO Option E
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1.png [ 7.54 KiB | Viewed 1222 times ]

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Re: 600 students took the test on English and Maths. 35% students failed  [#permalink]

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New post 01 Nov 2019, 07:32
solve 2x2 matrix
---PE--FE---Total
PM--132--198--330
FM---258--12----270
total--390--210---600
IMO E ; 12

Bunuel wrote:
600 students took the test on English and Maths. 35% students failed in english and 45% failed in maths. 40% of those who passed in maths also passed in english, then how many students failed in both ?

A. 162
B. 138
C. 60
D. 38
E. 12


Are You Up For the Challenge: 700 Level Questions
GMAT Club Bot
Re: 600 students took the test on English and Maths. 35% students failed   [#permalink] 01 Nov 2019, 07:32
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600 students took the test on English and Maths. 35% students failed

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