List of top Quantitative Aptitude Questions on Relations asked in CAT

P, Q, R and S are four statements. Relation between these statements is as follows. I. If P is true, then Q must be true.
II. If Q is true, then R must be true.
III. If S is true, then either Q is false or R is false.
Which of the following must be true?
The function given by \( f(x) = |x|^3 \) is

@ (A,B) = average of A and B
*(A,B) = product of A and B
/(A,B) = A divided by 

Which expression gives the sum of A, B, and C?

The sum of two odd functions

@ (A,B) = average of A and B
*(A,B) = product of A and B
/(A,B) = A divided by B

If A = 2 and B = 4, what is the value of \(@(/(*(A, B), B), A)\)?

Let \( u_0 = 0 \), and \( u_{n+1} = 2u_n + 1 \). What is the value of \( u_{10} \)? (nearest to)