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

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

Logic

Relations

True-False

But try the problem first...

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

Source

Suggested Reading

B.Stat Objective Question 67

Challenges and Thrills of Pre-College Mathematics by University Press

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.

- https://www.cheenta.com/rational-number-and-integer-prmo-2019-question-9/
- https://www.youtube.com/watch?v=lBPFR9xequA

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