List of top Quantitative Aptitude Questions on Relations

A mapping f: R-R which is defined as f(x)=cos x, x ER is
If A = {a, b, c) and R={(a,a), (a,b), (b,c), (b,b), (c,c), (c,a)} is a binary relation on A then which one of the following is correct?
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?

@ (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?

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

@ (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 \(@(/(*(A, B), B), A)\)?

The function given by \( f(x) = |x|^3 \) is
The sum of two odd functions