New ixamBee Expert Talk Session by ex-GM, NABARD
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Question

In each of the questions below are given three statements followed by three conclusions numbered I, II and III. You have to take the given statements to be true even if they seem to be at variance with commonly known facts. Read all the conclusions and then decide which of given conclusions logically follows from the given statements disregarding commonly known facts.

Statements:

Some pastries are toffees.

All toffees are chocolates.

All chocolates are sandwich.

Conclusions:

I. All toffees are sandwich.

II. Some pastries are sandwich.

III. Some chocolates are toffees.

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

Solution

All toffees are chocolates(A) + All chocolates are sandwich(A) ⇒ All toffees are sandwich(A). Hence conclusion I follow. Some pastries are toffees(I) + All toffees are chocolates(A) ⇒ Some pastries are chocolates(I) + All chocolates are sandwich(A) ⇒ Some pastries are sandwich(I). Hence conclusion II follows. All toffees are chocolates(A) ⇒ Conversion ⇒ Some chocolates are toffees(I). Hence conclusion III follows.

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