Seven books P, Q, R, S, T, U, and V are placed side by side. R, Q, and T have blue covers and other books have red covers. Only S and U are new books and the rest are old. P, R and S are law reports; the rest are Gazetteers. Books of old Gazetteers with blue covers are:

A student appeared in 6 papers. The maximum marks are the same for each paper. His marks in these papers are in the proportion $5 : 6 : 7 : 8 : 9 : 10$. Overall he scored 60%. In how many number of papers did he score less than 60% of the maximum marks?

Joseph visits the club on every 5th day, Harsh visits on every 24th day, while Sumit visits on every 9th day. If all three of them met at the club on a Sunday, then on which day will all three of them meet again?

A Statement followed by Conclusion-I and Conclusion-II is given below. You have to take the Statement to be true even if it seems to be at variance from the commonly known facts. Read all Conclusions and then decide which of the given Conclusion(s) logically follows/follow from the Statement, disregarding the commonly known facts.

Statement: Some cats are almirahs. Some almirahs are chairs. All chairs are tables. Conclusion-I: Certainly some almirahs are tables. Conclusion-II: Some cats may not be chairs.

Which one of the following is correct?

Consider the following addition problem : $3P + 4P + PP + PP = RQ2$; where P, Q and R are different digits. What is the arithmetic mean of all such possible sums?

There are three points P, Q and R on a straight line such that $PQ:QR = 3:5$. If n is the number of possible values of $PQ:PR$, then what is n equal to?