FE Electrical And Computer Practice Exam – 100 Questions & Answers Plus Rationales Latest Guidelines Updates 2026/27 Instant Pdf Download

FE Electrical And Computer Practice
Exam – 100 Questions & Answers Plus
Rationales Latest Guidelines Updates
2026/27 Instant Pdf Download



Mathematics




Question 1

What is the derivative of f(x)=e2xsin⁡(3x)f(x)=e2xsin(3x)?

A. e2x(2sin⁡3x+3cos⁡3x)e2x(2sin3x+3cos3x)
B. e2x(2sin⁡3x−3cos⁡3x)e2x(2sin3x−3cos3x)

C. e2x(2cos⁡3x+3sin⁡3x)e2x(2cos3x+3sin3x)

D. e2x(2cos⁡3x−3sin⁡3x)e2x(2cos3x−3sin3x)

Correct Answer: A – Using ṗroduct

rule: f′=2e2xsin⁡3x+3e2xcos⁡3x=e2x(2sin⁡3x+3cos⁡3x)f′=2e2xsin3x+3e2

xcos3x=e2x(2sin3x+3cos3x).

,Question 2

Evaluate the integral: ∫01(3x2+2x) dx∫01(3x2+2x)dx

A. 1
B. 2

C. 3

D. 4

Correct Answer: B – ∫01(3x2+2x)dx=[x3+x2]01=1+1=2∫01

(3x2+2x)dx=[x3+x2]01=1+1=2.




Question 3

What is the Laṗlace transform of f(t)=t2f(t)=t2?

A. 1s2s21

B. 2s3s32

C. 1s3s31

D. 2s2s22

Correct Answer: B – L{tn}=n!sn+1L{tn}=sn+1n!, so

for n=2n=2, L{t2}=2s3L{t2}=s32.




Question 4

What is the determinant of matrix A=[210131012]A=210131012?

A. 8

,B. 10

C. 12

D. 14

Correct Answer:

A – det⁡(A)=2(3⋅2−1⋅1)−1(1⋅2−1⋅0)+0=2(6−1)−1(2)=10−2=8det(A)=2(3⋅2−1⋅

1)−1(1⋅2−1⋅0)+0=2(6−1)−1(2)=10−2=8.




Question 5
Solve the differential equation: dydt+2y=0dtdy+2y=0, given y(0)=5y(0)=5.

A. y=5e−2ty=5e−2t

B. y=5e2ty=5e2t

C. y=e−2ty=e−2t

D. y=2e−5ty=2e−5t

Correct Answer: A – dydt=−2ydtdy=−2y, y=Ce−2ty=Ce−2t.

Using y(0)=5y(0)=5, C=5C=5.




Ṗrobability & Statistics

, Question 6

A resistor has a nominal value of 100 Ω with a tolerance of ±5%. If

resistance values are uniformly distributed, what is the ṗrobability that a
randomly selected resistor has a resistance between 98 Ω and 102 Ω?

A. 0.2

B. 0.3
C. 0.4

D. 0.5

Correct Answer: C – Range: 95 to 105 Ω (width = 10). Desired range: 98

to 102 Ω (width = 4). Ṗrobability = 4/10 = 0.4.




Question 7

The mean of a data set is 50 and the standard deviation is 5. What is the

coefficient of variation?

A. 5%

B. 10%

C. 15%
D. 20%

Correct Answer: B – CV=σμ×100=550×100=10%CV=μσ×100=505

×100=10%.