Negation conjunction: Statement: "Ram neither reads nor studies." Which pair of statements must be true?

Difficulty: Easy

Correct Answer: (ii) Ram does not read. (iv) Ram does not study.

Explanation:

Introduction / Context:"Neither A nor B" means both negations are true. Applied here, Ram does not read and Ram does not study.

Given Data / Assumptions:

  • Original: Neither reads nor studies.
  • Options list positive and negative forms.

Concept / Approach:Translate "neither/nor" to logical conjunction of negations: ¬Reads ∧ ¬Studies.

Step-by-Step Solution:

From the statement, (ii) "does not read" is true.Also, (iv) "does not study" is true.Therefore (ii) and (iv) together must hold.

Verification / Alternative check:A truth table for "neither ... nor ..." confirms both components are false in their affirmative form and true in their negative form.

Why Other Options Are Wrong:

  • (a) and (b) assert positives that contradict the stem.
  • (c) mixes a positive with its negation which is impossible.
  • None of these is incorrect because one pair does follow.

Common Pitfalls:Misreading "neither ... nor ..." as exclusive-or; it is a conjunction of negations.

Final Answer:(ii) and (iv)

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