Question

Choose the option which indicates a valid argument containing logically related statements that is, where the third statement is a conclusion drawn from the preceding two statements.

A. Apples are not sweets.
B. Some apples are sweet.
C. All sweets are tasty.
D. Some apples are not tasty.
E. No apple is tasty.

• A. E A C
• B. C E A
• C. B D C
• D. C B E

Answer 1

Answer: (B)

C E A

We will go option by option.

Consider A) E A C

So we assume no apple is tasty and apples are not sweets as true.

If this is so then surely all sweets are tasty cannot be concluded. Hence, given statements E and A to be true we cannot conclude if C is true.

Consider B) C E A

So we assume no apple is tasty and all sweets are tasty as true.

If this is so, then we can conclude Apples are not sweets.

Hence, option B is correct.

Consider C) B D C

So we assume that B and D are true. If that is so then we cannot comment on wheter all sweets are tasty or not. Hence, we cannot conclude if C is true.

Consider D) C B E

So we assume that C and B are true. If this is so then we cannot say that

no apple is tasty. Hence, we cannot conclude if E is true.