In a class of 50 students, 10 did not opt for math. 15 did not opt for

Question

In a class of 50 students, 10 did not opt for math. 15 did not opt for science and 2 did not opt for either. How many students of the class opted for both math and science?

A. 23
B. 25
C. 27
D. 37
E. 48

Kudos for a correct  solution .

rocky620 · Accepted Answer

Please let me know is teh below Approach Is correct:

10 did not opt for maths, so 40 Opted for it
15 did not opt for science, so 35 Opted for it
2 did not opt for anything, so only 48 opted for the subjects:

So, 48 = 40+35-MnS
  MnS=75-48=27

jimmy02 · Answer

10 did not opt for math means 40 opt for math.
15 did not opt for science means 35 opt for science.
2 did not opt for both means 8 opt for science but not maths & 13 did not opt for science but for maths.
So required ans is 27 opt for both.

Ans C.

Jimmy

peachfuzz · Answer

50 students total
10 did not opt for math
15 did not opt for science 
 2 did not opt for either

Total of 40 students in math and 13 did not opt for sci but did for math
40-13=27

27 students of the class opted for both math and science

Answer:
C. 27

mathivanan · Answer

let me use venn diagram (two intersecting circles, one for students who opted for math and one for who opted for sci)
Let me use the universal set also. U-(AUB)=students who did not opt for both, that is equal to 2.
Therefore, students who opted for only math are 13 and students opted for only sci are 8
It implies student who opted for both the subjects will be 50-(13+8+2)=27
Hence, the correct option is C

chanakya84 · Answer

pic.png I have followed a grid approach. Please see the attached image for explanation. Numbers in Green - Data provided Numbers in Black - Data calculated Thanks, Chanakya

Paras96 · Answer

In a class of 50 students, 10 did not opt for math. 15 did not opt for science and 2 did not opt for either. How many students in the class opted for both math and science?

Students who did not opt only math = 10 - 2 = 8

Students who did not opt only science = 15 - 2 = 13

Students who obtained math or science = 50 - 2 =48 = Students who opt only math + students who opt only science + students who opt math and science

=> 48 = (50-10) + (50-15) - x
=> x = 27

Hence C

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In a class of 50 students, 10 did not opt for math. 15 did not opt for

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