GATE Practice Set 8

15 Q · 15 min · Solved with answers
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Sections: General AptitudeCore SubjectEngineering Mathematics
Q1.
Which scheduling algorithm is non-preemptive?
A. Round Robin
B. FCFS
C. Shortest Remaining Time First
D. Priority (Preemptive)
Correct Answer: B
First Come First Serve (FCFS) is non-preemptive - once a process gets the CPU, it runs until completion or I/O.
Q2. General Aptitude
If 3x + 2 = 11, then x = ?
A. 1
B. 3
C. 4
D. 2
Correct Answer: B
3x = 9 -> x = 3.
Q3.
Binary equivalent of decimal 15 is:
A. 1010
B. 1100
C. 1111
D. 1001
Correct Answer: C
15 = 8+4+2+1 = 1111.
Q4. General Aptitude
The sum of ages of A and B is 45 years. 5 years from now, the ratio of their ages will be 4:5. Find the current age of A.
A. 15 years
B. 20 years
C. 25 years
D. 30 years
Correct Answer: A
Let A's age = x, B's age = 45-x. After 5 years: (x+5)/(50-x) = 4/5. 5x+25 = 200-4x. 9x = 175. x = 15.
Q5.
Class A amplifier has conduction angle of:
A. 90 degrees
B. 180 degrees
C. 360 degrees
D. 270 degrees
Correct Answer: C
Class A: conducts for full 360 degrees of input cycle -> low efficiency (~25%).
Q6.
In virtual memory, which technique is used for address translation?
A. Segmentation
B. Compaction
C. Paging
D. Swapping
Correct Answer: C
Paging maps virtual addresses to physical addresses using page tables, enabling virtual memory.
Q7.
Two 10 resistors in parallel give equivalent resistance:
A. 20
B. 5
C. 10
D. 2.5
Correct Answer: B
1/Rp = 1/10 + 1/10 = 2/10 -> Rp = 5 .
Q8.
Which of the following is a volatile memory?
A. ROM
B. Hard disk
C. RAM
D. Flash drive
Correct Answer: C
RAM (Random Access Memory) is volatile - data is lost when power is turned off.
Q9. Engineering Mathematics
What is the value of the eigenvalue of the matrix [2, 1; 1, 2]?
A. 1
B. 3
C. -1
D. -3
Correct Answer: B
The characteristic equation of the matrix [2, 1; 1, 2] is |A - λI| = 0, where λ is the eigenvalue. Expanding the determinant, we get (2 - λ)(2 - λ) - 1 = 0, which simplifies to λ^2 - 4λ + 3 = 0. Solving the quadratic equation, we get λ = 1 and λ = 3. Therefore, the eigenvalue of the matrix is 3.
Q10.
A steel rod of 10 mm diameter carries 31.4 kN load. Stress is:
A. 100 MPa
B. 200 MPa
C. 400 MPa
D. 314 MPa
Correct Answer: C
A = pi(0.01)^2/4 = 7.85x10 m^2. = 31400/7.85e-5 = 400 MPa.
Q11.
The modulus of rigidity relates shear stress to:
A. Normal strain
B. Shear strain
C. Volumetric strain
D. Lateral strain
Correct Answer: B
G = / (shear stress / shear strain).
Q12.
A simply supported beam with UDL has maximum bending moment at:
A. Ends
B. Mid-span
C. Quarter span
D. Supports
Correct Answer: B
Mmax = wL^2/8 at mid-span for simply supported beam with UDL.
Q13. Engineering Mathematics
What is the order of the differential equation d^2y/dx^2 + 3dy/dx + 2y = 0?
A. 1
B. 2
C. 3
D. 4
Correct Answer: B
The order of a differential equation is determined by the highest order derivative. In this case, the highest order derivative is d^2y/dx^2, which is of order 2.
Q14.
A language accepted by a Finite Automaton is called:
A. Regular language
B. Context-free language
C. Context-sensitive language
D. Recursively enumerable language
Correct Answer: A
Finite automata accept exactly the class of regular languages (Type 3 in Chomsky hierarchy).
Q15.
The unit of entropy is:
A. J/K
B. kJ/K
C. kJ/kgK
D. All of these
Correct Answer: B
Entropy units: J/K (total) or kJ/kg.K (specific).