37. In a class of 80 students numbered 1 to 80,
all odd numbered students opt for Cricket,
student whose numbers are divisible by 5
opt for Football and those whose numbers
are divisible by 7 opt for Hockey. The
number of students who do not opt any of
the three games, is
(a) 13
(b) 24
(c) 28✓
(d) 52
Answers
Answer:
36
Step-by-step explanation:
total no. of students=80
no.of students who opted for cricket=80÷2=40
no.of students who opted for football=80÷5=16
no. of students who opted for hockey=77÷7=11 (nearest no. preceding 80 and divisible by7)
no.of students who opted for cricket and football=80÷(2×5)=8
no.of students who opted for cricket and hockey=70÷(7×2)=5 (nearest no. preceding 80 and divisible by7)
no.of students who opted for football and hockey=70÷(7×5)=2
no.of students who opted for all=70÷(7×5×2)=1
therefore seperating repeated students=(40+16+11)-(8+5+2)-3(1)=44(participants)
therefore who didn't participate=80-44=36
Answer:
37. In a class of 80 students numbered 1 to 80,
all odd numbered students opt for Cricket,
student whose numbers are divisible by 5
opt for Football and those whose numbers
are divisible by 7 opt for Hockey. The
number of students who do not opt any of
the three games, is (c) 28 answer