GATE Practice Set 10

65 Questions 100 Marks 180 Minutes 1 or 2 marks per question
Time Remaining: 15:00

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?? Disclaimer: This is a practice paper with simulated questions based on the exam pattern. Not affiliated with the official examination body.
Sections: General AptitudeCore SubjectEngineering Mathematics
Q1. [1 or 2 marks]
⚠ Negative Marking: -1/3 mark for 1-mark MCQ, -2/3 for 2-mark MCQ (no negative for NAT)
In a min-heap, the smallest element is at:
A. Root
B. Leftmost leaf
C. Rightmost leaf
D. Last node
Correct Answer: A
Min-heap property: parent children, so root is always the minimum element.
Q2. [1 or 2 marks]
The COP of a refrigerator is 4. If it extracts 200 J from cold reservoir, work input is:
A. 20 J
B. 40 J
C. 50 J
D. 200 J
Correct Answer: C
COP = Q/W -> 4 = 200/W -> W = 50 J.
Q3. [1 or 2 marks]
The first law of thermodynamics is essentially:
A. Conservation of mass
B. Conservation of energy
C. Conservation of momentum
D. Law of entropy
Correct Answer: B
U = Q - W (energy conservation for thermodynamic systems).
Q4. [1 or 2 marks]
The Manning's roughness coefficient n for concrete is about:
A. 0.001
B. 0.035
C. 0.013
D. 0.1
Correct Answer: C
Manning's n for concrete: 0.012-0.015 (typically 0.013).
Q5. [1 or 2 marks] General Aptitude
If 15 workers can build a wall in 8 days, how many workers are needed to build same wall in 6 days?
A. 12
B. 18
C. 20
D. 25
Correct Answer: C
MD = MD -> 15x8 = Mx6 -> M = 20.
Q6. [1 or 2 marks] General Aptitude
If x + y = 10 and xy = 21, then x^2 + y^2 is:
A. 100
B. 79
C. 58
D. 42
Correct Answer: C
x^2+y^2 = (x+y)^2 - 2xy = 100 - 42 = 58.
Q7. [1 or 2 marks] General Aptitude
The average of first 5 prime numbers is:
A. 5.6
B. 5.6
C. 6.5
D. 5
Correct Answer: B
Primes: 2,3,5,7,11. Sum=28, Avg=28/5=5.6.
Q8. [1 or 2 marks] Core Subject
In a CPU, what is the main function of the cache memory?
A. To increase the size of the main memory
B. To decrease the time taken to access the main memory
C. To increase the speed of the CPU
D. To decrease the power consumption of the CPU
Correct Answer: B
The main function of the cache memory in a CPU is to store frequently used data and instructions, which reduces the time taken to access the main memory.
Q9. [1 or 2 marks] General Aptitude
A man buys a book for 500 and sells it for 600. Profit percentage is:
A. 10%
B. 20%
C. 15%
D. 25%
Correct Answer: B
Profit = 100, CP = 500. Profit% = 100/500 x 100 = 20%.
Q10. [1 or 2 marks]
The bending moment at a simply supported beam's center with point load P at center is:
A. PL/2
B. PL/4
C. PL/8
D. PL
Correct Answer: B
Mmax = PL/4 for simply supported beam with central point load.
Q11. [1 or 2 marks]
The main function of an operating system is:
A. Compiling programs
B. Providing internet access
C. Managing hardware resources
D. Running applications
Correct Answer: C
The OS manages CPU, memory, I/O devices, and provides resource allocation and protection.
Q12. [1 or 2 marks] General Aptitude
Choose the correct spelling:
A. Mischeivous
B. Mischievious
C. Mischievous
D. Mischevous
Correct Answer: C
Correct spelling: Mischievous.
Q13. [1 or 2 marks] General Aptitude
The simple interest on 1000 at 5% per annum for 2 years is:
A. 50
B. 100
C. 200
D. 25
Correct Answer: B
SI = PxRxT/100 = 1000x5x2/100 = 100.
Q14. [1 or 2 marks]
The output of XOR gate with inputs (1,1) is:
A. 1
B. 0
C. High impedance
D. Don't care
Correct Answer: B
XOR: output 1 when inputs differ, 0 when same. 11 = 0.
Q15. [1 or 2 marks]
The unit of moment of inertia is:
A. N/m
B. kg/m^2
C. m
D. N.m
Correct Answer: C
Moment of inertia (area) has units of m.