Question

In each question below are given three statements followed by three conclusions numbered I, II and III. You have to take the two 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 follows from the two given statements, disregarding commonly known facts.

Statements:

Some terms are formulas.

All terms are equations.

Some equations are symbols.

Conclusions:

I. Some formulas are equations.

II. Some terms are symbols.

III. Some symbols are not equations is a possibility.

A Only III follows Correct Answer Incorrect Answer
B Only I and III follows Correct Answer Incorrect Answer
C Only II and III follows Correct Answer Incorrect Answer
D All I,II and III follows Correct Answer Incorrect Answer
E None of these Correct Answer Incorrect Answer

Solution

All terms are formulas ⇒ Some formulas are terms(I) + All terms are equations (A) ⇒ Some formulas are equations(I). Hence, conclusion I follows. All terms are equations(A) + Some equations are symbols(I) ⇒ No conclusion. Hence, conclusion II will not follow. Some equations are symbols (I) ⇒ some symbols are equations(I) ⇒ [Probable conclusion] ⇒ Some symbols are not equations(I). Hence, conclusion III will follow. Alternate Method: Minimum possibility:

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