List of top General Aptitude Questions on Numerical Estimation asked in GATE CS

In the sequence \( 6, 9, 14, x, 30, 41 \), a possible value of \( x \) is:
Consider a permutation sampled uniformly at random from the set of all permutations of \( \{1, 2, 3, \dots, n\} \) for some \( n \geq 4 \). Let \( X \) be the event that 1 occurs before 2 in the permutation, and \( Y \) the event that 3 occurs before 4. Which one of the following statements is TRUE?
A cube is to be cut into 8 pieces of equal size and shape Here each cut should be straight and it should not stop till it reaches the other end of the cube The minimum number of such cuts required?
\(∫_{x=0}^a ∫^{y=1}_{y=\sqrt\frac{x}{a}}\)  \(e^{y^3}\) dy dx=(e-1) then the value of a is
 
Given f(x)=1-f(2-x), then ∫20 f(X)dx=?