CameraIcon

SearchIcon

MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Permutation

Out of 100 st...

Question

Out of 100 students 50 fail in English and 30 in Maths. If 12 students fail in both English and Maths, then the number of students passing both the subjects is

A

26

No worries! We‘ve got your back. Try BYJU‘S free classes today!

B

28

No worries! We‘ve got your back. Try BYJU‘S free classes today!

C

30

No worries! We‘ve got your back. Try BYJU‘S free classes today!

D

32

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is D 32
Total number of students=100
Number of students fail in English=(50-12)=38
Number of students fail in Maths=(30-12)=18
Number of students fail in both=12
Therefore total failing students=(38+18+12)=68
Pass in both the subjects=(100-68)
=32 students
32 students have passed in both subjects

Suggest Corrections

thumbs-up

0

Similar questions

Q. In an examination, it was found that every student has failed in at least one subject out of the three subjects: English, Maths and Science. 28 students failed in English, 30 students failed in Maths and 32 students failed in Science. 6 students failed in English and Maths, 8 students failed in Maths and Science and 10 students failed in English and Science. The number of students who failed in only one subject is 54. Also, 20 students failed only in Maths.
The number of students who failed in English and Science but not Maths is ___.

\frac{1}{4}

of the students failed both in English and Maths,

35 %

students failed in Maths and

30 %

failed in English.
(i)Find the percentage of students who failed in any of the subjects.
(ii)Find the percentage of students who passed in both the subjects.
(iii)If the number of students who failed only in English was

25

, find the total number

30

% students failed in English,

45

% failed in Math and

25

% failed in both then the student who pass in both subjects is?

Q. In an examination, it was found that every student has failed in at least one subject out of the three subjects: English, Maths and Science. 28 students failed in English, 30 students failed in Maths and 32 students failed in Science. 6 students failed in English and Maths, 8 students failed in Maths and Science and 10 students failed in English and Science. The number of students who failed in only one subject is 54. Also, 20 students failed only in Maths.

Determine the number of students who appeared in the examination.

Q. In an examination

80 %

passed in English,

85 %

75 %

40

students failed in both subjects. Then the number of students appeared are

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Permutations

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon