List of top General Aptitude Questions asked in GATE CS

log \([\frac{x+y}{2}]=\frac{1}{2}\) (log x+log y) the value of \(\frac{x}{y}+\frac{y}{x}\) is

The value of x in given series is
6, 9, 14, x, 30, 41

Increasing order of the intensity
Walk → Jog → Sprint
Bothered →? Daunted

If \(A_{n×n}\) such that A is real matrix and B is any matrix which is obtained from A by interchanging any two rows then pick the true statements?

The probability of getting a distinct number while throwing dice six times?
 

\(∫_{x=0}^a ∫^{y=1}_{y=\sqrt\frac{x}{a}}\)  \(e^{y^3}\) dy dx=(e-1) then the value of a is
 

Consider a non-pipeline processor with 2 GHz clock, average CPI of '6'. It is hence with a 5-stage pipeline processor with the same clock, consider 1 instructions per cycle and if 20% instructions have 2 cycle stalls due to control hazards and 20% of instructions have 3 cycles stalls due to data hazards. Speedup of pipeline over non-pipeline

Given f(x)=1-f(2-x), then ∫20 f(X)dx=?