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Two statements are given, followed by two conclusions numbered 1 and 2. Assuming the statements to be true, even if they seem to be at variance with known facts, decide which of the conclusions logically follow(s) from the statements.

Statements:

All hooks are hangers.

Some hangers are locks.

Conclusions:

1. Some locks are hangers

2. All locks are hooks.

AOnly conclusion 1 follows

BNeither conclusion 1 nor 2 follows

COnly conclusion 2 follows

DBoth conclusions 1 and 2 follow

Answer:

A. Only conclusion 1 follows

Read Explanation:

Solution:

The least possible Venn diagram is:

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1. Some locks are hangers → True (As, All hooks are hangers and Some hangers are locks → Some locks are hangers)

2. All locks are hooks. → False (As, All hooks are hangers and Some hangers are locks → So, it may be possible, but it is not definite)

Hence, only conclusion 1 follows.


Related Questions:

Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements. Statements: All lifts are doors. All doors are cars. No car is a window. Conclusions: (I) : No lift is a window. (II) : Some cars are lifts
Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusion(s) logically follow(s) from the statements. Statements: All towels are boats. No peanuts are boats. All chairs are towels. Conclusions: (I) Some boats are chairs. (II) No towels are peanuts.
Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements. Statements: Some pears are candles. All drillers are candles. Conclusions: (I): Some pears are drillers. (II): All candles are drillers

In each of the following question below are given some statements followed by some conclusions. Taking the given statements to be true even if they seem to be at variance from commonly known facts, read all the conclusions and then decide which of the given conclusion logically follows the given statements.

Statement:

All Trains are Bus

No Bus are Trunk

Some Trunk are Cars

Conclusion:

I. Some Cars are not Bus

II. No Trains is Car

Two statements are given, followed by two conclusions numbered I and II. Assuming the statements to be true, even if they seen to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements.

Statements:
Some octopuses are fish.
Some fish are frogs.

Conclusions:
I. Some frogs are fish.
II. Some fish are octopuses.