Question

In a class of 65 students, 35 students have taken Mathematics, 40 have taken
Statistics. Find the no. of students who have taken both. Find the no. of students
who have taken Mathematics but not Statistics. (Assume that every student has to
take atleast one of the two subjects.)
(a) 10, 25 (b) 10, 10
(c) 10, 20
(d) 10, 30
with explanation ​

Answer 1

Step-by-step explanation:

student taken mathematics=35

student taken static =40

total no of student= 40+35=75

student taken both =75-65=10

student who have not taken static=65-40=25

student who have taken only mathematics is 25

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Answer 2

The correct option is (a) 10,25

GIVEN:-

• No. of students = 65
• No. of Students who have taken Mathematics= 35
• No. of Students who have taken Statistics = 40

TO FIND- no. of students who have taken Mathematics but not Statistics.

SOLUTION:-

Sum of No. of Students who have taken Mathematics and No. of Students taken Statistics = 35 + 40 = 75

As we know the total No. of students is 65

No. of students who have taken both = 75 -65 = 10

No. of students who have taken Mathematics but not Statistics = Total no. of students - No. of Students who have taken Statistics = 65 - 40 = 25

Hence, the correct option is (a) 10,25

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