GATE Practice Set 5

15 Q · 15 min · Solved with answers
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Sections: General AptitudeCore SubjectEngineering Mathematics
Q1.
The pH of pure water is:
A. 0
B. 14
C. 7
D. 10
Correct Answer: C
Pure water has pH 7 at 25 degrees C (neutral).
Q2.
A Zener diode is used for:
A. Rectification
B. Amplification
C. Voltage regulation
D. Switching
Correct Answer: C
Zener diode maintains constant voltage in reverse breakdown -> voltage regulator.
Q3.
Which flip-flop has no race condition?
A. SR
B. JK
C. Master-slave JK
D. D
Correct Answer: C
Master-slave JK flip-flop eliminates race-around condition.
Q4. 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.
Q5. General Aptitude
Simplify: 25 + 5 x 2 - 10
A. 50
B. 25
C. 25
D. 30
Correct Answer: C
Using BODMAS: 5x2=10, 25+10-10=25.
Q6.
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.
Q7.
Which of the following is a linear data structure?
A. Tree
B. Queue
C. Graph
D. Binary Tree
Correct Answer: B
Queue is linear (elements in sequence). Tree and Graph are non-linear data structures.
Q8. General Aptitude
If LOGIC is coded as 15-15-7-9-3, then what is the code for MATH?
A. 1-13-20-8
B. 13-1-20-8
C. 14-1-21-9
D. 12-1-19-7
Correct Answer: C
Each letter is coded as its position + 1. L(12)+3=15, O(15)+0=15, G(7)+0=7, I(9)+0=9, C(3)+0=3. For MATH: M(13)+1=14, A(1)+0=1, T(20)+1=21, H(8)+1=9 -> 14-1-21-9.
Q9.
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).
Q10. General Aptitude
The ratio of 3 km to 300 m is:
A. 1:10
B. 10:1
C. 10:1
D. 1:100
Correct Answer: C
3 km = 3000 m. 3000:300 = 10:1.
Q11. 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.
Q12.
The RMS value of sinusoidal voltage v = 10 sin(t) is:
A. 10 V
B. 7.07 V
C. 5 V
D. 14.14 V
Correct Answer: B
Vrms = Vm/sqrt2 = 10/1.414 = 7.07 V.
Q13.
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).
Q14.
The operation of enlarging a hole is called:
A. Drilling
B. Reaming
C. Boring
D. Counter-sinking
Correct Answer: C
Boring enlarges an existing hole. Reaming gives smooth finish.
Q15. General Aptitude
A bat and a ball together cost $1.10. The bat costs $1.00 more than the ball. How much does the ball cost?
A. $0.05
B. $0.10
C. $0.15
D. $0.20
Correct Answer: A
Let's say the cost of the ball is x. Since the bat costs $1.00 more than the ball, the cost of the bat is x + $1.00. The total cost is $1.10, so we can set up the equation: x + (x + $1.00) = $1.10. Simplifying the equation, we get 2x + $1.00 = $1.10. Subtracting $1.00 from both sides, we get 2x = $0.10. Dividing both sides by 2, we get x = $0.05.