GATE Practice Set 9

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] General Aptitude
⚠ Negative Marking: -1/3 mark for 1-mark MCQ, -2/3 for 2-mark MCQ (no negative for NAT)
A train 150 m long passes a pole in 15 seconds. Find the speed of the train in km/h.
A. 12 km/h
B. 24 km/h
C. 36 km/h
D. 48 km/h
Correct Answer: C
Speed = distance/time = 150/15 = 10 m/s. In km/h: 10 x (18/5) = 36 km/h.
Q2. [1 or 2 marks]
The Euler's buckling load for a column depends on:
A. Material only
B. Length only
C. Length, E, I, and end conditions
D. Cross-section only
Correct Answer: C
Pcr = pi^2EI/(Le)^2. Depends on E, I, effective length (end conditions).
Q3. [1 or 2 marks]
A counter with 4 flip-flops can count up to:
A. 8
B. 16
C. 4
D. 32
Correct Answer: B
4-bit counter: 2 = 16 states (0 to 15).
Q4. [1 or 2 marks]
Which traversal gives sorted order in a BST?
A. Preorder
B. Postorder
C. Inorder
D. Level order
Correct Answer: C
Inorder traversal of BST visits nodes in ascending order (left -> root -> right).
Q5. [1 or 2 marks] General Aptitude
If 5 men can build a wall in 12 days, how many days will 10 men take?
A. 24
B. 12
C. 6
D. 3
Correct Answer: C
MD = MD -> 5x12 = 10xD -> D = 6 days.
Q6. [1 or 2 marks] Core Subject
In a microprocessor, what is the function of the Arithmetic Logic Unit (ALU)?
A. To control the flow of data between registers
B. To perform arithmetic and logical operations
C. To store data temporarily
D. To provide the clock signal
Correct Answer: B
The Arithmetic Logic Unit (ALU) in a microprocessor performs arithmetic operations such as addition, subtraction, multiplication, and division, as well as logical operations such as AND, OR, and NOT.
Q7. [1 or 2 marks]
The plasticity chart classifies soil based on:
A. Grain size
B. Liquid limit and plasticity index
C. Permeability
D. Compaction
Correct Answer: B
Casagrande's plasticity chart: LL vs PI to classify fine-grained soils (CL, CH, ML, MH).
Q8. [1 or 2 marks] General Aptitude
If a train running at 72 km/h crosses a pole in 10 s, the length of train is:
A. 100 m
B. 150 m
C. 200 m
D. 250 m
Correct Answer: C
Speed = 72x(5/18) = 20 m/s. Length = 20x10 = 200 m.
Q9. [1 or 2 marks]
A material that undergoes large deformation before fracture is called:
A. Brittle
B. Ductile
C. Elastic
D. Plastic
Correct Answer: B
Ductile materials (steel, aluminum) undergo significant plastic deformation before fracture.
Q10. [1 or 2 marks] General Aptitude
Find the missing number: 2, 6, 12, 20, ?
A. 28
B. 24
C. 30
D. 36
Correct Answer: C
Pattern: 1x2=2, 2x3=6, 3x4=12, 4x5=20, 5x6=30.
Q11. [1 or 2 marks]
The cutting speed in a lathe is measured in:
A. RPM
B. m/min
C. mm/rev
D. mm
Correct Answer: B
Cutting speed = piDN/1000 m/min (D in mm, N in RPM).
Q12. [1 or 2 marks]
The gain of a non-inverting amplifier with Rf=10 k and R1=1 k is:
A. 10
B. 11
C. 9
D. 1
Correct Answer: B
Gain = 1 + Rf/R1 = 1 + 10 = 11.
Q13. [1 or 2 marks]
A stack is implemented using an array. If the top pointer is at index 5, what is the current size of the stack?
A. 6
B. 5
C. 4
D. 7
Correct Answer: A
If top = 5 (0-indexed), there are 6 elements at indices 0 through 5.
Q14. [1 or 2 marks]
The effective span of a simply supported beam is:
A. Clear span
B. Center to center of supports
C. Clear span + effective depth
D. Overall length
Correct Answer: C
For simply supported: Le = min(Lc + d, c/c distance of supports).
Q15. [1 or 2 marks]
Kirchhoff's current law is based on:
A. Conservation of energy
B. Conservation of charge
C. Ohm's law
D. Faraday's law
Correct Answer: B
KCL: sum of currents entering = sum leaving (charge conservation).