Latest TCS Aptitude Question SOLUTION: In a class of 100 students,the number of students passed in english only is 46,in maths only is 46,in commerce only is 58.the number who passed in english and maths is 16,maths and

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In a class of 100 students,the number of students passed in english only is 46,in maths only is 46,in commerce only is 58.the number who passed in english and maths is 16,maths and commerce is 24,and english and commerce is 26,and the number who passed in all subjects is 7.Find the no of students who failed in all sub?

Asked In TCS sanjana (12 years ago)

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Dinabandhu jana  (12 years ago)

Ans:=9
n(E)=46,n(M)=46,n(c)=58,
n(E nd M)=16,n(M nd C)=24,n(E nd C)=26,
n(E nd M nd C)=7
here E->English,M->Math,C->Commerce
only n(E)=46-(16+26)=4
only n(M)=46-(16+24)=6
only n(C)=58-(24+26)=8
total no. of students who passed(any or any two or all )=4+6+8+16+24+26+7=91
no. of students who failed in all sub=100-91=9

Is this solution Helpfull? Yes (21) | No (1)  

Anita  (12 years ago)

I think , statement should be

In a class of 100 students,the number of students passed in english is 46,in maths is 46,in commerce is 58.

According to given statement, there are more than 100 Students ( 46+46+58) who passed in one subject only whereas statement should be that out of total 100 students, 46 passed in English out of which some also passed in maths and/or commerce.

Only then solution is possible and then answer will be
9 students failed in all subjects.

Is this solution Helpfull? Yes (19) | No (1)  

shyamlesh dash  (12 years ago)

answer came 9 its 100-91

Is this solution Helpfull? Yes (9) | No (2)  

udit narayana  (12 years ago)

answer is 11 using pie diagram

Is this solution Helpfull? Yes (5) | No (11)  

Saurabh Anand Srivastava  (12 years ago)

n(A U B U C) = n(A) + n(B) + n(C) - n(A N B) -n(B N C) - n(C N A) + n(A N B N C)
n(A U B U C)=100,n(A) =46, n(B) =46 n(C)=58
n(A N B) =16,n(B N C) =24, n(C N A)=26
calculate and find out (n(A N B N N C)

Is this solution Helpfull? Yes (4) | No (9)  

Shikha  (12 years ago)

Is the given data correct ?

the number of students passed in 'english only is 46',in 'maths only is 46',in 'commerce only is 58'.

Is this solution Helpfull? Yes (3) | No (3)  

SURAJ SINHA  (12 years ago)

ANSWER IS 100-91=9.

Is this solution Helpfull? Yes (3) | No (1)  

AAKRITI GUPTA   (12 years ago)

i thnk question is incorrect.

Is this solution Helpfull? Yes (3) | No (5)  

Saurabh Anand Srivastava  (12 years ago)

after geting n(A N B N C) anns will 100-n(A N B N C)

Is this solution Helpfull? Yes (2) | No (4)  

vikas  (12 years ago)

ans is 91
using inersectn-union formula

Is this solution Helpfull? Yes (1) | No (5)  

sksingh  (12 years ago)

ans
is 16

Is this solution Helpfull? Yes (1) | No (5)  

shyamlesh dash  (12 years ago)

pls mail me some ques as my campus day after tommorw

Is this solution Helpfull? Yes | No (3)  

shyamlesh dash  (12 years ago)

my id is shyamleshd@gmail.com

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