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Quantitative Aptitude

Three Sets Venn Diagram

Each question...

Question

Each question contains six or seven statements followed by four sets of combinations of three. Choose the set in which the statements are logically related.
(A) No athletes are vegetarians.
(B) All cricket players are athletes.
(C) Some athletes play cricket.
(D) Some cricket players are vegetarians.
(E) No cricket player is a vegetarian.
(F) All athletes are vegetarians.

A

ABE

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B

CDA

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C

CEB

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D

BEF

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Solution

The correct option is A ABE
E. All cricket players are athletes.
A. No athletes are vegetarians.
$A + E \Rightarrow E$ -type of conclusion
No cricket players are vegetarians.
This is Statement (E).

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Similar questions

Q. Each question contains six statements followed by four sets of combinations of three. Choose the set in which the combinations are logically related.
A. All vegetarians eat meat.
B. All those who eat meat are not vegetarians.
C. All those who eat meat are herbivorous.
D. All vegetarians are carnivorous.
E. All those who eat meat are carnivorous.
F. Vegetarians are herbivorous.

Q. Some statements are given, followed by some conclusions. Consider the statements to be true even if they seem to be at variance from commonly known facts. Decide which of the given conclusions follow from the given statements.

Statements:
All cricketers are football players.
Some hockey players are cricketers
No football player is a basketball player
No basketball player is a hockey player.

Conclusions:
I. Some hockey players are football players.
II. No basketball player is a cricketer.
III. Some hockey players are basketball.
IV. Some football players are cricketers.

Q. Statements:
All footballers are music lovers.
All footballers are dancers.
No dancer is a cricketer.
No cricketer is a player.
Conclusions:
I. All cricketer can be a music lover.
II. Some players are footballers.
III. At least some footballers are cricketers.

Statements

All football players are cricketers.

Some hockey players are football players.

No cricketer is a basketball player.

Conclusions

I.Some hockey players are cricketers.

II.No basketball player is a football player.

III.Some hockey players are basketball players.

IV.Some cricketers are football players.

Q. DIRECTIONS (Qs. 11-13): Select the statement which logically follows the two given statements.
Statements:
I. No athletes are vegetarians.
Il. All players are athletes.
III. Therefore ________

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