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

## Check the Answer

But try the problem first…

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

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.

## Other useful links

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

Google