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arjtryarjtry
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Among 400 students, 56% study sociology, 44% study 30 Jul 2008, 11:00
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Among 400 students, 56% study sociology, 44% study mathematics and 40% study biology. If 30% of students study both mathematics and sociology, what is the largest possible number of students who study biology but do not study either mathematics or sociology?

A. 30
B. 90
C. 120
D. 172
E. 188



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Among 400 students, 56% study sociology, 44% study 30 Jul 2008, 11:21
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arjtryarjtry
Among 400 students, 56% study sociology, 44% study mathematics and 40% study biology. If 30% of students study both mathematics and sociology, what is the largest possible number of students who study biology but do not study either mathematics or sociology?

A. 30
B. 90
C. 120
D. 172
E. 188
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I got C. will explain if it is correct.
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durgesh79
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Among 400 students, 56% study sociology, 44% study 30 Jul 2008, 11:23
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arjtryarjtry
Among 400 students, 56% study sociology, 44% study mathematics and 40% study biology. If 30% of students study both mathematics and sociology, what is the largest possible number of students who study biology but do not study either mathematics or sociology?

A. 30
B. 90
C. 120
D. 172
E. 188
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I'm feeling sleepy and i DO NOT recommend solving question this way..... but lets try

first two options are trap options ... becuase problem is in % but we have to answer number of students.... lets look at these "trap" options ..... 90 is too much .... can not ... in all probabbilities ...30 is the trap option .... so if you make venn diagram with %... most probably you'll endup with 30 ..... exactly why its the first option....

but we are smart 8-) .... we know its a trap but test writer has already solved the % and gave it to us in a platter ...

number of studenst will be 400 * 30% = 120 ... option C
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Among 400 students, 56% study sociology, 44% study 30 Jul 2008, 11:45
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arjtryarjtry
Among 400 students, 56% study sociology, 44% study mathematics and 40% study biology. If 30% of students study both mathematics and sociology, what is the largest possible number of students who study biology but do not study either mathematics or sociology?

A. 30
B. 90
C. 120
D. 172
E. 188
Show more

Fastest way.. is.
40% study biology (400 *0.40) .. max 160
eliminate D and E

If we see the question all % are .. whole numbers (56%, 44% .. etc)..
when we solve it will lead whole % ... say may be 30% 22%... not 21.5%..
So, option A (30), B(90) divided by 4 --> leads to fraction number 7.5% 22.5%..
A, B -- 30, 90
eliminate A and B.

C is left.


I solved it using vendiagram too...

It leads to 30% --> 400 *.30 --> 120
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Among 400 students, 56% study sociology, 44% study 03 Aug 2008, 09:20
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arjtryarjtry
Among 400 students, 56% study sociology, 44% study mathematics and 40% study biology. If 30% of students study both mathematics and sociology, what is the largest possible number of students who study biology but do not study either mathematics or sociology?

A. 30
B. 90
C. 120
D. 172
E. 188
Show more

Tedious calculations and ended up with C is there any easy way out
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spriya
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Among 400 students, 56% study sociology, 44% study 03 Aug 2008, 09:22
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x2suresh
arjtryarjtry
Among 400 students, 56% study sociology, 44% study mathematics and 40% study biology. If 30% of students study both mathematics and sociology, what is the largest possible number of students who study biology but do not study either mathematics or sociology?

A. 30
B. 90
C. 120
D. 172
E. 188

Fastest way.. is.
40% study biology (400 *0.40) .. max 160
eliminate D and E

If we see the question all % are .. whole numbers (56%, 44% .. etc)..
when we solve it will lead whole % ... say may be 30% 22%... not 21.5%..
So, option A (30), B(90) divided by 4 --> leads to fraction number 7.5% 22.5%..
A, B -- 30, 90
eliminate A and B.

C is left.


I solved it using vendiagram too...

It leads to 30% --> 400 *.30 --> 120
Show more
This is a smart way but often risky :wink:
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Among 400 students, 56% study sociology, 44% study 11 Nov 2017, 11:28
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