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Only if Suman has good knowledge of Maths, she would become a Mathematician. Suman does not have good knowledge of Maths. Suman has become a Mathematician. Suman has not become a Mathematician. - Logical Reasoning

MCQ

In the question, there is a main statement followed by four statements (a), (b), (c) and (d). From the choices, choose the ordered pair where the first statement implies the second statement and the two are logically consistent with the main statement.
Only if Suman has good knowledge of Maths, she would become a Mathematician.

  1. Suman does not have good knowledge of Maths.
  2. Suman has become a Mathematician.
  3. Suman has not become a Mathematician.
  4. Suman has good knowledge of Maths.

Options

  • ca

  • db

  • bd

  • ba

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Solution

p - Only if Suman has good knowledge of Maths,
q - she would become a Mathematician.
The implications of the above statement are
(i) q ⇒ p and
(ii) ~ p ⇒ ~ q
It can be bd or ac.
So, bd is the correct option.

Concept: Statement and Assumption (Entrance Exam)
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