List of top Questions asked in GATE CS- 2024

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?

A person sold two different items at the same price. He made 10% profit in one item and 10% loss in the other item. In, selling the person made a total of

Consider a disk with the following specifications: rotation speed of 6000 RPM, average seek time of 5 ms, 500 sectors/track, 512 B sectors. A file has content stored in 3000 sectors located randomly on the disk. Assuming average rotational latency, the total time (in secs, rounded to 2 places) to read the entire file from the disk is?

A processor with 16 GPR's uses a 32-bits instruction format. The instruction format consists of an op-code field, an addressing mode field, register operand fields, and a 16-bit scalar operand field. If 8 addressing modes are to be supported, the max. number of unique op-codes possible for every addressing mode is_______

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