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Quantitative Aptitude

Exhaustive Events

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Question

In this question, four statements are given, followed by five conclusions, one of which definitely does not logically follow (or is not a possibility of occurrence) from the given statements. That conclusion is your answer.
Note:- You have to take the four given statements to be true even if they seem to be at variance with commonly known facts and then decide which of the given conclusions logically does not follow from the given statements disregarding commonly known facts.

Statements:-
Some moments are flashes.
All moments are seconds.
All flashes are instances.
No instance is an hour.

Conclusions:-
a. All hours being seconds is a possibility.
b. No second is a flash.
c. No hour is a flash.
d. Atleast some moments are instances.
e. Atleast some seconds are instances.

A

All hours being seconds is a possibility

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B

No second is a flash

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C

No hour is a flash

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D

Atleast some moments are instances

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E

Atleast some seconds are instances

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Solution

The correct option is B No second is a flash
All flashes are instances (A) + No instance is an hour (E) = A + E = E = No flash is an hour (E) $\to$ conversion $\to$ No hour is a flash. Hence, (c) follows.
From statements (First + Third), conclusion (d) follows. From Statements (Second + Third) conclusion (e) follows. Now, from statements (Second + Third + Fourth) the possibility in (a) exists. But conclusion (b) does not follow.

Hence, only conclusion (b) does not follow.

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