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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