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Try this TOMATO problem from I.S.I. B.Stat Entrance Objective Problem based on Logic True-False Reasoning.

Logic True-False Reasoning (B.Stat Objective problems)

P,Q, R are statements such that if P is true then at least one of the following is correct (i) Q is true (ii) R is not true then

• if both Q and R are true then P is true
• if both P and Q are true then R is true
• if both P and R are true then Q is true
• none of these

Key Concepts

Logic

Relations

True-False

But try the problem first…

Answer: if both P and Q are true then R is true

Source

B.Stat Objective Question 67

Challenges and Thrills of Pre-College Mathematics by University Press

Try with Hints

First hint

P true gives (i) holds and (ii) do not hold that is Q true and R true

Second Hint

P true gives (i) do not hold and (ii) holds that is Q non true and R non true

Final Step

then from given conditions when P true and first condition holds that is Q true then second condition do not hold that is R is true that is if both P and Q are true then R is true.