- Question
Gurmeet’s clock gains 4 seconds every 20 minutes, it shall gain exactly how many minutes in 25 hours ?
a)6
b)5
c)4
d)7
e)25
Explanation
SOLUTION[b]-5 MINUTES
Question-2
Of 60 students in a class, anyone who has chosen to study Maths elects to do Physics as well. But no one does Maths and Chemistry, 16 do physics and Chemistry.
All the students do at least one of the three subjects and the number of people who do exactly one of the three is more than the number who do more than one of the Three.
What are the maximum and minimum number respectively of students who could have done Chemistry only?
a)44,0
b)40,2
c)38,0
d)44,2
e)42,0
Explanation
SOLUTION[A]-
Let M∩P=α
Only P=β
Only C=γ, then
α+β+γ+16=60
⇒α+β+γ=44
Also β+γ>α+16
Now, possibilities of ′γ′→
(i) If γ=0, then α+β=44
And β>α+16
Here, (α,β)=(1,43),(2,42),(3,41),⋯,(13,31)
(ii) If γ=44, then α+β=0
⇒α=β=0 this is also possible
∴ Range of γ=[0,44]
