The police arrested four criminals - P, Q, R and S. The criminals knew each other. They made the following statements:

P says "Q committed the crime."

Q says "S committed the crime."

R says "I did not do it."

S says "What Q said about me is false."

Assume only one of the arrested four committed the crime and only one of the statements made above is true. Who committed the crime?

"The hold of the nationalist imagination on our colonial past is such that anything inadequately or improperly nationalist is just not history."

Which of the following statements best reflects the author's opinion?

Indian currency notes show the denomination indicated in at least seventeen languages. If this is not an indication of the nation’s diversity, nothing else is. Which of the following can be logically inferred from the above sentences?

Consider the following statements relating to the level of poker play of four players $$P, Q, R$$ and $$S.$$

$$\,\,\,\,\,\,\,\,\,{\rm I}.\,\,\,\,\,\,\,\,$$ P always beats Q
$$\,\,\,\,\,\,\,{\rm I}{\rm I}.\,\,\,\,\,\,\,\,$$ R always beats S
$$\,\,\,\,\,{\rm I}{\rm I}{\rm I}.\,\,\,\,\,\,\,\,$$ S loses to P only sometimes
$$\,\,\,\,\,{\rm I}V.\,\,\,\,\,\,\,\,$$ R always loses to Q

Which of the following can be logically inferred from the above statements?

$$\,\,\,\,\,\,\,\,\,\left( i \right)\,\,\,\,\,\,\,\,$$ P is likely to beat all the three other players
$$\,\,\,\,\,\,\,\,\left( ii \right)\,\,\,\,\,\,\,$$ S is the absolute worst player in the set