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Clocks and Venn Diagram Actual Question MBA CET 2024  Slot 1

Quant in MBA CET 2024 Slot-1 Actual Questions with Solutions

  1. 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]

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