1
GATE CSE 2025 Set 2
Numerical
+2
-0

A quadratic polynomial $(x-\alpha)(x-\beta)$ over complex numbers is said to be square invariant if $(x-\alpha)(x-\beta)=\left(x-\alpha^2\right)\left(x-\beta^2\right)$. Suppose from the set of all square invariant quadratic polynomials we choose one at random.

The probability that the roots of the chosen polynomial are equal is (rounded off to one decimal place)

Your input ____
2
GATE CSE 2025 Set 2
Numerical
+2
-0

The unit interval $(0,1)$ is divided at a point chosen uniformly distributed over $(0,1)$ in $R$ into two disjoint subintervals.

The expected length of the subinterval that contains 0.4 is _________ . (rounded off to two decimal places)

Your input ____
3
GATE CSE 2025 Set 2
MCQ (Single Correct Answer)
+1
-0.33

Processes $P 1, P 2, P 3, P 4$ arrive in that order at times $0,1,2$, and 8 milliseconds respectively, and have execution times of $10,13,6$, and 9 milliseconds respectively. Shortest Remaining Time First (SRTF) algorithm is used as the CPU scheduling policy. Ignore context switching times.
Which ONE of the following correctly gives the average turnaround time of the four processes in milliseconds?

A
22
B
15
C
37
D
19
4
GATE CSE 2025 Set 2
MCQ (More than One Correct Answer)
+2
-0.67

Consider a demand paging system with three frames, and the following page reference string: 1 2 3 4 5 4 1 6 4 5 1 3 2 . The contents of the frames are as follows initially and after each reference (from left to right):

GATE CSE 2025 Set 2 Operating Systems - Memory Management Question 2 English

The *-marked references cause page replacements.

Which one or more of the following could be the page replacement policy/policies in use?

A
Least Recently Used page replacement policy
B
Least Frequently Used page replacement policy
C
Most Frequently Used page replacement policy
D
Optimal page replacement policy
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