The following questions have a set of Statements and Conclusions. Check the conclusions on the basis of the statements and choose the correct option from the following:

Statements:

Some markers are pen.
No markers is register.

Conclusions:

(i) Some register are not pen.
(ii) No register are marker.

Out of the following propositions two are related in such a way that these cannot be true together, but can be false at the same time. Identify such pair of propositions:

(i) Some students prefer vegetarian food.

(ii) Some students prefer non-vegetarian food.

(iii) All students prefer non-vegetarian food.

(iv) All students prefer vegetarian food.

Select the correct code:

Out of the following propositions two are related in such a way that these cannot be false together, but can be true together. Identify such pair of propositions:

(i) Some members are educated.

(ii) Some members are uneducated.

(iii) No member is uneducated.

(iv) No member is educated.

Select the correct code:

Out of the following propositions two are related in such a way that these cannot be true or false together, if one is false, the other must be true. Identify such pair of propositions:

(i) All vehicles in India run on CNG.

(ii) Some vehicles in India run on CNG.

(iii) No vehicles in India run on CNG.

(iv) Some vehicles in India do not run on CNG.

Select the correct code:

Out of the following propositions two are related in such a way that if the first proposition is true, the second one will also be true and if the second proposition is false, the first will also be false. Identify such pair of propositions:

(i) All members are uneducated.

(ii) No member is uneducated.

(iii) Some members are educated.

(iv) Some members are not educated.

Select the correct code: