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Read the given statements carefully.Assuming that the information given in the statements is true, even if it appears to be at variance with commonly
Question

Read the given statements carefully.
Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, from the given options, decide which conclusion logically follows from the statements.
Statement
1: Some locks are keys
2: All keys are doors.

A.

All doors are keys.

B.

Some locks are doors.

C.

All locks are doors.

D.

No lock is door.

Correct option is B

Given:
Statement 1: Some locks are keys
Statement 2: All keys are doors.
From the given statements possible Venn diagram will be.
Now, we check each options.
Option (a): All doors are keys.
False, the statement says all keys are doors, but it does not say that all doors are keys.
Option (b): Some locks are doors.
True, since some locks are keys and all keys are doors, it logically follows that those locks that are keys must also be doors.
Option (c): All locks are doors.
False, no some locks are doors as shown in diagram.
Option (d): No lock is door.
False, some locks is door as shown in diagram.
Thus, correct option is (b).

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