Question:

DIRECTIONS for questions: Each question consists of five statements followed by options consisting of three statements put together in a specific order. Choose the option which indicates a valid argument, that is, where the third statement is a conclusion drawn from the preceding two statements. Example:
A. All cigarettes are hazardous to health.
B. Brand X is a cigarette.
C. Brand X is hazardous to health.
ABC is a valid option, where statement C can be concluded from statements A and B.

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.

Show Hint

In CEA, if any apple were a sweet it would have to be tasty, but no apple is tasty.
Updated On: Nov 4, 2026
  • CBD
  • BDC
  • CEA
  • EAC
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The Correct Option is C

Solution and Explanation

Step 1: Test CEA:
C: all sweets are tasty. E: no apple is tasty. Suppose some apple were a sweet. Then by C it would be tasty, which contradicts E. So no apple is a sweet, i.e. apples are not sweets. That is A. CEA is valid.

Step 2: Test the others:
BDC: B and D are statements about some apples, and C is a general claim about all sweets, so nothing in B and D can establish C. Not valid. CBD: all sweets are tasty and some apples are sweets, so some apples are tasty. This is the opposite of D (some apples are not tasty). Not valid. EAC: 'no apple is tasty' and 'apples are not sweets' say nothing about whether all sweets are tasty. Not valid.

Final Answer:
The correct option is (3): CEA
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