Latest Oracle Aptitude Question SOLUTION: Out of 1000 students, 658 failed in Mathematics, 166 in Mathematics and science, 434 in mathematics and English, 372 in science, 590 in English and 126 in both science and English.

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(#M40165005) ORACLE General Ability question Set theory Keep an EYE

Out of 1000 students, 658 failed in Mathematics, 166 in Mathematics and science, 434 in mathematics and English, 372 in science, 590 in English and 126 in both science and English.
How many failed in mathematics but not in science and English?
a)206
b)164
c)464
d)628

Asked In Oracle ravi kumar (6 years ago)

Unsolved Read Solution (4)

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Read Solution (4) :

  (6 years ago)

Use this formula
P(A ∪ B ∪ C) = P(A) + P(B) + P(C)
− P(A ∩ B) − P(A ∩ C) − P(B ∩ C)
+ P(A ∩ B ∩ C).
ans=164

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

PBMK  (6 years ago)

Ans: b

Given
n(M)=658,n(E)=590,n(S)=372,n(E+M)=434,n(M+S)=166,n(E+S)=126,n(U)=1000 then calculate n(M+E+S)

which will be n(M+E+S)=106
Now Distribute the values to a venn diagram then you will get the answer from venn diagram.

Is this solution Helpfull? Yes (2) | No (1)  

LAVUDYA HARIPRIYA  (5 years ago)

ANSWER: D
total no. of students combinely failed in science and english out of the total 1000 students are 126
and as it is given to find students who failed in maths but not in science and english are max more than that of (658-126)=532 that is answer greater than 532

Is this solution Helpfull? Yes | No (2)  

jaishnavi  (5 years ago)

n(m+e+s)=106
ans:b

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