. In a school, total 110 students are
studying together in two divisions A
and B of class X. The students are
studying only Hindi, only Sanskrit or
both Hindi and Sanskrit. The total num-
ber of students in A and B divisions
are in the ratio of 5:6; number of stu-
dents studying only Hindi is 40% of
the total number of students in the
two divisions. Number of students
studying both subjects in A division is
30% of the students in that division
and is equal to the number of stu-
dents studying only Hindi in the same
division. What is the total number of
students studying only Sanskrit in
class X?
(1) 44
(2) 38
(3) 36 (4) 30
(5) None of these
Answers
Answer;3 36
Step-by-step explanation:
hindi is 44 studying both 15 studying hindi in div a is 17 total 74
now 110-74=36
30 students studying only Sanskrit in class X
Step-by-step explanation:
Missing information
.36 students study both Hindi and Sanskrit
Total Students = 110
The total number of students in A and B divisions are in the ratio of 5:6
Total Students in Division A = 50
Total Students in Division B = 60
number of students studying only Hindi is 40% of the total number of students in the two divisions
=> number of students studying only Hindi = (40/100)110 = 44
Number of students studying both subjects in A division is 30% of the students in that division
=> Number of students studying both subjects in A division = (30/100) 50
= 15
number of students studying only Hindi in A Division = 15
Total Students in Division A = 50
=> number of students studying only Sanskrit in A Division = 50 - 15 - 15
= 20
number of students studying only Hindi in Division B = 44 - 15 = 29
number of students studying Sanskrit in Division B = 60 - 29 = 31
36 students study both Hindi and Sanskrit
Number of students studying both subjects in B division = 36 - 15 = 21
Number of students studying only Sanskrit in B Division = 31 - 21 = 10
total number of students studying only Sanskrit in class X
= 20 + 10 = 30
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