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Questions › CUET-PG › CUET-PG 2023 Shift 2 › Q100
4 marks, −1Mathematics › Logic and proof techniques › Necessary and sufficient conditionsEasyabout 1 min

CUET-PG 2023 Shift 2 Question 100: Logic and proof techniques

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R. Assertion A: If a proposition P implies proposition Q, then we can say that P is a sufficient condition for Q or P ⇒\Rightarrow⇒ Q Reason R: For proportion Q to be true it is sufficient that P is true i.e., Q is a necessary condition for P. In the light of the above statements, choose the most appropriate answer from the options given below:

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Answer and worked solution

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Plain-text version

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R. Assertion A: If a proposition P implies proposition Q, then we can say that P is a sufficient condition for Q or P ⇒ Q Reason R: For proportion Q to be true it is sufficient that P is true i.e., Q is a necessary condition for P. In the light of the above statements, choose the most appropriate answer from the options given below: (A) Both A and R are correct and R is the correct explanation of A (B) Both A and R are correct but R is NOT the correct explanation of A (C) A is correct but R is not correct (D) A is not correct but R is correct

Also written as: Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R. Assertion A: If a proposition P implies proposition Q, then we can say that P is a sufficient condition for Q or P => Q Reason R: For proportion Q to be true it is sufficient that P is true i.e., Q is a necessary condition for P. In the light of the above statements, choose the most appropriate answer from the options given below:

Logic and proof techniques has come up 73 times in 3 exams since 2004.

What this question tests

This question is on Necessary and sufficient conditions, part of Logic and proof techniques in Mathematics.

Telling apart what must hold from what is enough to guarantee a result.

TestStop has 2 past-paper questions on this subtopic.

Take this paper as a timed mockMore on Necessary and sufficient conditions

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Question from the CUET-PG 2023 Shift 2 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.