GATE Practice Set 2

15 Q . Solved with answers
Time Remaining: 15:00

Click any option to check your answer.

Sections: General AptitudeCore SubjectEngineering Mathematics
Q1.
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%).
Q2.
The number of bits in a nibble is:
A. 2
B. 4
C. 8
D. 16
Correct Answer: B
1 nibble = 4 bits. 1 byte = 2 nibbles = 8 bits.
Q3.
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.
Q4.
A diode in forward bias has:
A. High resistance
B. Low resistance
C. Infinite resistance
D. Zero current
Correct Answer: B
Forward bias: diode conducts with low resistance (~0.7 V drop for Si).
Q5. 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.
The Chezy's coefficient C in Manning's formula relates to:
A. Channel roughness
B. Channel depth
C. Both roughness and hydraulic radius
D. Discharge
Correct Answer: C
Manning: V = (1/n)R^(2/3)S^(1/2). Chezy: C = (1/n)R^(1/6).
Q7. 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.
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.
Q9.
A 4-bit R-2R DAC uses resistors of values:
A. Only R
B. Only 2R
C. R and 2R
D. R, 2R, 4R
Correct Answer: C
R-2R ladder DAC uses only R and 2R resistors for binary-weighted conversion.
Q10.
A transistor has three terminals: base, collector, and:
A. Gate
B. Drain
C. Emitter
D. Source
Correct Answer: C
BJT terminals: Base, Collector, Emitter. FET: Gate, Drain, Source.
Q11.
Quick sand condition occurs when:
A. Permeability is zero
B. Upward seepage force equals submerged weight
C. Soil is fully dry
D. Water table is low
Correct Answer: B
Quicksand: upward hydraulic gradient critical gradient (ic = Gs-1)/(1+e).
Q12. General Aptitude
Find the next term: 3, 9, 27, 81, ?
A. 162
B. 189
C. 243
D. 324
Correct Answer: C
Geometric progression with ratio 3: 3 = 243.
Q13. General Aptitude
Find the odd one out: 2, 4, 8, 16, 24, 32
A. 4
B. 8
C. 24
D. 32
Correct Answer: C
All others are powers of 2 (2, 2^2, 2, 2, 2). 24 is not a power of 2.
Q14.
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).
Q15.
The SI unit of thermal conductivity is:
A. W/m
B. W/mK
C. J/kgK
D. N/m^2
Correct Answer: B
Thermal conductivity k: W/(m.K).