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# In school X, 30 students study English or Russian or both. If 10 of th

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Intern
Joined: 11 Jun 2018
Posts: 6
In school X, 30 students study English or Russian or both. If 10 of th  [#permalink]

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30 Jul 2018, 08:07
1
00:00

Difficulty:

45% (medium)

Question Stats:

66% (01:41) correct 34% (02:17) wrong based on 32 sessions

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In school X, 30 students study English or Russian or both. If 10 of these students do not study English, how many of these students study both English and Russian?

(1) Of the 30 students, 6 do not study Russian.

(2) A total of 24 students study Russian.
Senior Manager
Joined: 18 Jun 2018
Posts: 255
Re: In school X, 30 students study English or Russian or both. If 10 of th  [#permalink]

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30 Jul 2018, 08:40
1
In school X, 30 students study English or Russian or both. If 10 of these students do not study English, how many of these students study both English and Russian?

(1) Of the 30 students, 6 do not study Russian.

(2) A total of 24 students study Russian.

OA:D
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Capture GC.PNG [ 17.88 KiB | Viewed 291 times ]
Math Expert
Joined: 02 Aug 2009
Posts: 7112
Re: In school X, 30 students study English or Russian or both. If 10 of th  [#permalink]

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30 Jul 2018, 10:37
1
In school X, 30 students study English or Russian or both. If 10 of these students do not study English, how many of these students study both English and Russian?

(1) Of the 30 students, 6 do not study Russian.

(2) A total of 24 students study Russian.

You can do it through Venn diagram..

Total 30 and 10 do not study E
1) 6 do not study R
So B =30-10-6=14
Sufficient
2) 24 study R
So B+R=24......B+10=24.......B=14
Sufficient

D
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3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html

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Re: In school X, 30 students study English or Russian or both. If 10 of th &nbs [#permalink] 30 Jul 2018, 10:37
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