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Number 1 to 140 students are given- in which even number students take maths as a favourite subject,divisible of 3 take chemistry as a favourite subject and divisible of 5 take physics as favourite subject then how many students didn't take favourite subject?

Asked by hemanttkumarr 12th January 2019, 7:41 AM
Answered by Expert
Answer:
No. of Students taken Maths as favourite = 2,4,6,8................140 = 70
No. of Students taken Chemistry as favourite = 3,6,9,12............138 = 46
No. of Students taken Physics as favourite = 5,10,15,20.............140 = 28
 
No. of Students taken Maths and Chemistry as favourite = 6, 12, 18, ......, 138 = 23
No. of Students taken Maths and Physics as favourite = 10, 20, 30, ............140 = 14
No. of Students taken Physics and Chemistry as favourite = 15, 30, 45,..........135 = 9
 
No. of Students taken Maths, Chemistry and Physics as favourite = 30, 60, 90, 120 = 4
 
Venn diagram shown below for the above distribution
 
No. of students taken atleast one subject as favourite = 4+19+5+10+18+9+37 = 102
 
No. of students did not take any favourite subject = 140-102 = 38
Answered by Expert 12th January 2019, 4:25 PM
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