Question

Al the 30 students of a class took a test on Mathematics and a test on English. The
fllowing table shows the result
Subject

Mathematics
pass-25
fail-5
1 English
pass-22 Fail-8
Two students falled both in Mathematics and English.
Questions:
47. How many students failed in only one subject?
(A) 28 (B) 25
(C) 22
(D) 9
43. How many students passed in at least one subject?
(A) 28 (B) 25
(C) 22
(D) 9
49. How many students passed in both the subjects?
(A) 29-
(B) 25
(C) 22
(D) 19
​

Answer 1

Answer:

Step-by-step explanation:

Please see the attachment

Thank you

Answer 2

Given:

Number of students in the class=30

Students failed in both subjects=2

To find:

i. Number of students who failed in only one subject

ii. Number of students who passed in at least one subject

iii. Number of students who passed in both the subjects

Solution:

The number of students who failed in only one subject is 9, who passed in at least one subject is 28, and who passed in both the subjects is 19.

We can find the values by following the given steps-

We know that the students who passed in Maths=25

The students who failed in Maths=5

The students who passed in English=22

The students who failed in English=8

We will use the given information to find the values.

i. The number of students who failed in only one subject can be obtained by subtracting the number of students who failed in both subjects from the students who failed in either subject.

The number of students who failed in only one subject=(Number of students who failed in Maths- Number of students who failed in both subjects)+(Number of students who failed in English-Number of students who failed in both subjects)

On putting the values, we get

The number of students who failed in only one subject=(5-2)+(8-2)

=3+6

=9

So, 9 students failed in only one subject. (Option D)

ii. Now, the number of students who passed in at least one subject can be obtained by subtracting the number of students who failed in both subjects from the total number of students.

So, the number of students who passed in at least one subject=Total number of students-number of students who failed in both subjects

The number of students who passed in at least one subject=30-2

=28

The number of students who passed in at least one subject is 28. (Option A)

iii. The number of students who passed in both the subjects can be obtained by deducting the number of students who failed in one or both subjects.

The number of students who passed in both the subjects=Total number of students-number of students who failed in one subject-number of students who failed in both subjects

On putting the values,

The number of students who passed in both the subjects=30-9-2

=30-11

=19

So, 19 students passed in both the subjects. (Option D)

Therefore, the number of students who failed in only one subject is 9, who passed in at least one subject is 28, and who passed in both the subjects is 19.