A Statement is given followed by two Conclusions numbered I and II. Consider the Statement and the Conclusions.

Statement :
India is the world's largest producer of milk.

Conclusion–I :
India is the world's largest exporter of milk.

Conclusion–II :
India does not import milk.

A Main Statement is followed by four Statements labelled P, Q, R and S. Choose the ordered pair of the Statements where the first Statement implies the second, and the two Statements are logically consistent with the Main Statement.
Main Statement: Pradeep becomes either a Director or a Producer.

Statement P: Pradeep is a Director.

Statement Q: Pradeep is a Producer.

Statement R: Pradeep is not a Director.

Statement S: Pradeep is not a Producer.

Select the correct answer.

Consider the following:

I. A + B means A is neither smaller nor equal to B.

II. A - B means A is not greater than B.

III. A × B means A is not smaller than B.

IV. A ÷ B means A is neither greater nor equal to B.

V. A ± B means A is neither smaller nor greater than B.

Statement: P × Q, P - T, T ÷ R, R ± S

Conclusion-1: Q ± T

Conclusion-2: S + Q

Which one of the following is correct in respect of the above Statement and the Conclusions?

Let P, Q, R, S and T be five statements such that:

I. If P is true, then both Q and S are true.

II. If R and S are true, then T is false.

Which of the following can be concluded?

1. If T is true, then at least one of P and R must be false.

2. If Q is true, then P is true.

Select the correct answer using the code given below: