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Electrical Engineering (EE) Exam  >  Electrical Engineering (EE) Tests  >  MAHATRANSCO AE Electrical Mock Test - 3 - Electrical Engineering (EE) MCQ

MAHATRANSCO AE Electrical Mock Test - 3 - Electrical Engineering (EE) MCQ


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30 Questions MCQ Test - MAHATRANSCO AE Electrical Mock Test - 3

MAHATRANSCO AE Electrical Mock Test - 3 for Electrical Engineering (EE) 2025 is part of Electrical Engineering (EE) preparation. The MAHATRANSCO AE Electrical Mock Test - 3 questions and answers have been prepared according to the Electrical Engineering (EE) exam syllabus.The MAHATRANSCO AE Electrical Mock Test - 3 MCQs are made for Electrical Engineering (EE) 2025 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for MAHATRANSCO AE Electrical Mock Test - 3 below.
Solutions of MAHATRANSCO AE Electrical Mock Test - 3 questions in English are available as part of our course for Electrical Engineering (EE) & MAHATRANSCO AE Electrical Mock Test - 3 solutions in Hindi for Electrical Engineering (EE) course. Download more important topics, notes, lectures and mock test series for Electrical Engineering (EE) Exam by signing up for free. Attempt MAHATRANSCO AE Electrical Mock Test - 3 | 130 questions in 120 minutes | Mock test for Electrical Engineering (EE) preparation | Free important questions MCQ to study for Electrical Engineering (EE) Exam | Download free PDF with solutions
MAHATRANSCO AE Electrical Mock Test - 3 - Question 1
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Consider a 3 x 3 matrix A whose (i, j)-th element, ai,j = (i - j)3. Then the matrix A will be

Detailed Solution for MAHATRANSCO AE Electrical Mock Test - 3 - Question 1

A = [ aij]3x3, ai j = (i - j )3

for i = j  ⇒      aij  = (i - i)3 = o ɏ i

for i ≠ j  ⇒     aij = ( i - j)3 = (-(j - i))3

                        = -(j - i)3 = -aji

∴ A3x3 is a skew-symmetric matrix.

MAHATRANSCO AE Electrical Mock Test - 3 - Question 2
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The self inductance of the primary winding of a single phase, 50 Hz, transformer is 800 mH, and that of the secondary winding is 600 mH. The mutual inductance between these two windings is 480 mH. The secondary winding of this transformer is short circuited and the primary winding is connected to a 50 Hz, single phase, sinusoidal voltage source. The current flowing in both the winding is less than their respective rated currents. The resistance of both windings can be neglected. In this connection, what is the effective inductance (in mH) seen by the source?

Detailed Solution for MAHATRANSCO AE Electrical Mock Test - 3 - Question 2

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MAHATRANSCO AE Electrical Mock Test - 3 - Question 3
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In the circuit shown below, a three-phase star-connected unbalanced load is connected to a balanced three-phase supply of 100√3 V with phase sequence ABC. The star connected load has ZA = 10 Ω and ZB = 20∠600 Ω. The value of Zc in Ω, for which the voltage difference across the nodes n and n' is zero, is

Detailed Solution for MAHATRANSCO AE Electrical Mock Test - 3 - Question 3

n and n' are same potential,

So,

IA + IB + IC = 0

Zc = Ω

MAHATRANSCO AE Electrical Mock Test - 3 - Question 4
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A Bode magnitude plot for the transfer function G(s) of a plant is shown in the figure. Which one of the following transfer functions best describes the plant?
Detailed Solution for MAHATRANSCO AE Electrical Mock Test - 3 - Question 4

MAHATRANSCO AE Electrical Mock Test - 3 - Question 5
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Which one of the following function is analytic in the region |z| ≤ 1?
Detailed Solution for MAHATRANSCO AE Electrical Mock Test - 3 - Question 5

 the singularity z = –2 lies outside the |Z| < | 
∴ By Cauchy’s integral theorem

MAHATRANSCO AE Electrical Mock Test - 3 - Question 6
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In a certain code LAWN is written as JCUP. How will SLIT be coded in that code?
Detailed Solution for MAHATRANSCO AE Electrical Mock Test - 3 - Question 6

Its all in the manner of -2, +2
J = L - 2
C = A + 2
U = W - 2
P = N + 2

and same for SLIT:
Q = S - 2
N = L + 2
G = I - 2
V = T + 2

MAHATRANSCO AE Electrical Mock Test - 3 - Question 7
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If BANGALORE is written as CZOFBKPQF, how will CALCUTTA be written?
Detailed Solution for MAHATRANSCO AE Electrical Mock Test - 3 - Question 7

B + 1 = C
A - 1 = Z
N + 1 = O
G - 1 = F
A + 1 = B
L - 1 = K
O + 1 = P
R - 1 = Q
E + 1 = F
BANGALORE → CZOFBKPQF

Similarly,
C +1 = D
A - 1 = Z
L + 1 = M
C - 1 = B
U + 1 = V
T - 1 = S
T + 1 = U
A - 1 = Z
CALCUTTA → DZMBVSUZ

MAHATRANSCO AE Electrical Mock Test - 3 - Question 8
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Directions: Study the following information carefully and answer the questions given below:

1) Seven friends R, M, K, P, L, W, and B live in three different buildings, i.e. X, Y, and Z. Not less than two or more than three live in any of the buildings.

2) Each of them has a liking for different fruits among apple, jackfruit, watermelon, orange, grapes, pineapple, and mango, not necessarily in that order.

3) Three among them are girls, one each every building. W likes orange and stays in building Y with P only. M lives in building Z and he likes jackfruit.

4) None in building X likes apple or grapes.

5) R and L do not stay in building X.

6) K is R’s close friend and she does not like watermelon. L likes pineapple.

7) None of the girls like orange and one of them likes apple. R does not like grapes.

Q.  Who stays in building Z?
Detailed Solution for MAHATRANSCO AE Electrical Mock Test - 3 - Question 8

Refer to the third and fifth points for this answer.
The third point directly tells you that M lives in building Z.
The third point also tells you that only W and P stay in building Y.
The fifth points tells you that R and L do not stay in building X.
From this we can deduce that R and L stay in building Z

MAHATRANSCO AE Electrical Mock Test - 3 - Question 9
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Directions: Study the following information carefully and answer the questions given below:

1) Seven friends R, M, K, P, L, W, and B live in three different buildings, i.e. X, Y, and Z. Not less than two or more than three live in any of the buildings.

2) Each of them has a liking for different fruits among apple, jackfruit, watermelon, orange, grapes, pineapple, and mango, not necessarily in that order.

3) Three among them are girls, one each every building. W likes orange and stays in building Y with P only. M lives in building Z and he likes jackfruit.

4) None in building X likes apple or grapes.

5) R and L do not stay in building X.

6) K is R’s close friend and she does not like watermelon. L likes pineapple.

7) None of the girls like orange and one of them likes apple. R does not like grapes.

Q.  Which are the three girls?
Detailed Solution for MAHATRANSCO AE Electrical Mock Test - 3 - Question 9

MAHATRANSCO AE Electrical Mock Test - 3 - Question 10
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Two less than 5 times a number is greater than the third multiple of the number. So the number must be
Detailed Solution for MAHATRANSCO AE Electrical Mock Test - 3 - Question 10

Two less than 5 times a number is greater than the third multiple of the number.
5x - 2 >3x
5x - 3x > 2
2x > 2
x > 1

MAHATRANSCO AE Electrical Mock Test - 3 - Question 11
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Find the value of x when x is a natural number and 24x< 100.
Detailed Solution for MAHATRANSCO AE Electrical Mock Test - 3 - Question 11

 

MAHATRANSCO AE Electrical Mock Test - 3 - Question 12
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Directions: Read the following information carefully and answer the questions which follow.

Ten people G, H, I, J, K, L, W, X, Y and Z live in a building with four Floors. Each Floor has 3 flats – flat 1, flat 2, and flat 3 in the same order from left to right. Ground floor is numbered floor 1 and top most floor is floor 4. Each flat is built in such a way that Flat 1 of floor 2 is just above Flat 1 of floor 1 and so on.
The two flats in which no one lives are on even numbered floor and in even numbered flat. G does not live on even numbered floor and even numbered flat. W lives in the flat just above H. The flat between K and X is vacant and K lives in one of the flat above X. L lives in an odd numbered flat which is in the left of X. Z and Y lives on the same floor and no one else is living with them on that floor. G lives on a floor and flat just above W’s floor and flat. I live on one of the floors on which one flat is vacant. Z and I both lives in the flat which is numbered 1.

Q. Which of the following statement is true about G?
Detailed Solution for MAHATRANSCO AE Electrical Mock Test - 3 - Question 12

MAHATRANSCO AE Electrical Mock Test - 3 - Question 13
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Directions: Read the following information carefully and answer the questions which follow.

Ten people G, H, I, J, K, L, W, X, Y and Z live in a building with four Floors. Each Floor has 3 flats – flat 1, flat 2, and flat 3 in the same order from left to right. Ground floor is numbered floor 1 and top most floor is floor 4. Each flat is built in such a way that Flat 1 of floor 2 is just above Flat 1 of floor 1 and so on.
The two flats in which no one lives are on even numbered floor and in even numbered flat. G does not live on even numbered floor and even numbered flat. W lives in the flat just above H. The flat between K and X is vacant and K lives in one of the flat above X. L lives in an odd numbered flat which is in the left of X. Z and Y lives on the same floor and no one else is living with them on that floor. G lives on a floor and flat just above W’s floor and flat. I live on one of the floors on which one flat is vacant. Z and I both lives in the flat which is numbered 1.

Q. Which of the following lives on the ground floor?
Detailed Solution for MAHATRANSCO AE Electrical Mock Test - 3 - Question 13

MAHATRANSCO AE Electrical Mock Test - 3 - Question 14
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At what time between 4 and 5 will the hands of a watch point in the opposite directions?
Detailed Solution for MAHATRANSCO AE Electrical Mock Test - 3 - Question 14

Hands are pointing in opposite directions. It means hands are 180° apart or they are 30 minutes apart.
Required time = (5x + 30) × 12/11 minutes past x

MAHATRANSCO AE Electrical Mock Test - 3 - Question 15
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Directions: In the following question assuming the given statements to be true, find which of the given conclusions is definitely true.

Statement:

C < O > K; Z < R < N = C
Detailed Solution for MAHATRANSCO AE Electrical Mock Test - 3 - Question 15

Given:

C < O > K; Z < R < N = C

On Combining:

Z < R < N = C < O > K

Conclusions:

1. R < C → True (as R < N = C)

2. Z > N → False (as Z < R < N; therefore Z < N)

3. O = R → False (as R < N = C < O; therefore R < O)

4. C < K → False (as C < O > K; thus, a clear relation between C and K cannot be established)

Hence, “R < C” is definitely true among the given options.

MAHATRANSCO AE Electrical Mock Test - 3 - Question 16
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If A + B = C + D and A + D > B + C, then which one of the following is definitely wrong?
Detailed Solution for MAHATRANSCO AE Electrical Mock Test - 3 - Question 16

Given : A + B = C + D

⇒ A - D = C - B ----- (i)

Also, it is given that A + D > B + C ----- (ii)

Subtracting (i) from (ii), we get :

D > B

Therefore, B > D is definitely wrong.

Hence, option 4 is the correct answer.

MAHATRANSCO AE Electrical Mock Test - 3 - Question 17
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Directions to Solve

In each of the following questions find out the alternative which will replace the question mark.

Question -

Safe : Secure :: Protect : ?
Detailed Solution for MAHATRANSCO AE Electrical Mock Test - 3 - Question 17

As safe ans secure have same meaning in the same way protect and guard have same meaning.

MAHATRANSCO AE Electrical Mock Test - 3 - Question 18
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Directions to Solve

In each of the following questions find out the alternative which will replace the question mark.

Question -

Master : OCUVGT :: LABOUR : ?
Detailed Solution for MAHATRANSCO AE Electrical Mock Test - 3 - Question 18

MAHATRANSCO AE Electrical Mock Test - 3 - Question 19
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Directions to Solve

In each of the following questions find out the alternative which will replace the question mark.

Question -

Microphone : Loud :: Microscope : ?
Detailed Solution for MAHATRANSCO AE Electrical Mock Test - 3 - Question 19

As Microphone makes sound louder similarly Microscope makes the object magnified.

MAHATRANSCO AE Electrical Mock Test - 3 - Question 20
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Statements: All green are blue. All blue are white.

Conclusions:

  1. Some blue are green.
  2. Some white are green.
  3. Some green are not white.
  4. All white are blue.
Detailed Solution for MAHATRANSCO AE Electrical Mock Test - 3 - Question 20

 

So Option A is correct

MAHATRANSCO AE Electrical Mock Test - 3 - Question 21
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Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour?
Detailed Solution for MAHATRANSCO AE Electrical Mock Test - 3 - Question 21

It is given that, excluding stoppages, the speed of a bus is 54 kmph.
⇒ Distance travelled by bus in 1 hour, excluding stoppages = 54 km.
Also, it is given that including stoppages the speed of the bus is 45 km/hr.
⇒ Distance travelled by the bus in 1 hour, including stoppages = 45 km.
(Distance travelled by bus in 1 hour excluding stoppages – distance travelled by bus in 1 hour including stoppages)
⇒ (54km−45km) ⇒ 9 km
Due to stoppages, it covers 9 km less in an hour.
Students can easily solve this question by using this trick.
Required time for the stoppage per hour,

MAHATRANSCO AE Electrical Mock Test - 3 - Question 22
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A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 854 in 4 years. The sum is :
Detailed Solution for MAHATRANSCO AE Electrical Mock Test - 3 - Question 22

S.I. for 1 year = Rs. (854 - 815) = Rs. 39.

S.I. for 3 years = Rs.(39 * 3) = Rs. 117.

 Principal = Rs. (815 - 117) = Rs. 698.

MAHATRANSCO AE Electrical Mock Test - 3 - Question 23
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A milk vendor has 2 cans of milk. The first contains 25% water and the rest milk. The second contains 50% water. How much milk should he mix from each of the containers so as to get 12 litres of milk such that the ratio of water to milk is 3 : 5?
Detailed Solution for MAHATRANSCO AE Electrical Mock Test - 3 - Question 23

► Let x and (12-x) litres of milk be mixed from the first and second container respectively

► Amount of milk in x litres of the the first container = .75x

► Amount of water in x litres of the the first container = .25x

► Amount of milk in (12-x) litres of the the second container = .5(12-x)

► Amount of water in (12-x) litres of the the second container = .5(12-x)

► Ratio of water to milk = [.25x + .5(12-x)] : [.75x + .5(12-x)] = 3 : 5

⇒ (.25x+6-5x)/(.75x+6-.5x) =3/5

⇒(6−.25x)/(.25x+6) =3/5

⇒30−1.25x=.75x+18

⇒2x=12

⇒x=6

► Since x = 6, 12-x = 12-6 = 6

Hence 6 and 6 litres of milk should mixed from the first and second container respectively

MAHATRANSCO AE Electrical Mock Test - 3 - Question 24
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Solve the quadratic equation ix2 – 3x – 2i = 0
Detailed Solution for MAHATRANSCO AE Electrical Mock Test - 3 - Question 24

x2−3x−2i=0,

or  x2 + 3ix − 2=0      (divided by i)
 x= −3i ± [−9 + 4.1.2]1/2/2.1
= −3i ±  (−1)1/2/2
​= (−3i ± i)/2
=> x=−i or x=−2i

MAHATRANSCO AE Electrical Mock Test - 3 - Question 25
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The price of 10 chairs is equal to that of 4 tables. The price of 15 chairs and 2 tables together is Rs. 4000. The total price of 12 chairs and 3 tables is:
Detailed Solution for MAHATRANSCO AE Electrical Mock Test - 3 - Question 25

Let the cost of a chair and that of a table be Rs. x and Rs. y respectively.

MAHATRANSCO AE Electrical Mock Test - 3 - Question 26
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The least number which should be added to 2497 so that the sum is exactly divisible by 5, 6, 4 and 3 is:
Detailed Solution for MAHATRANSCO AE Electrical Mock Test - 3 - Question 26

MAHATRANSCO AE Electrical Mock Test - 3 - Question 27
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What is the least number that can be added to 7218 make it a perfect square ?
Detailed Solution for MAHATRANSCO AE Electrical Mock Test - 3 - Question 27

85*85 = 7225

MAHATRANSCO AE Electrical Mock Test - 3 - Question 28
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The average weight of a class of 10 students is increased by 2 kg when one student of 30kg left and another student joined. After a few months, this new student left and another student joined whose weight was 10 less than the student who left now. What is the difference between the final and initial averages?
Detailed Solution for MAHATRANSCO AE Electrical Mock Test - 3 - Question 28

Change in total weight of 10 students = difference in weight of the student who joined and the student

=> weigth of first student who left = 30 + (10×2) = 50

weight of the student who joined last = 50 – 10 = 40...
Thus change in average weight = (40 – 30)/10 = 1...
 

MAHATRANSCO AE Electrical Mock Test - 3 - Question 29
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X can do a piece of work in 20 days. He worked at it for 5 days and then Y finished it in 15 days. In how many days can X and Y together finish the work?
Detailed Solution for MAHATRANSCO AE Electrical Mock Test - 3 - Question 29
  • X’s five day work = 5/20 = 1/4. Remaining work = 1 – 1/4 = 3/4.
  • This work was done by Y in 15 days. Y does 3/4th of the work in 15 days, he will finish the work in 15 × 4/3 = 20 days.  
  • X & Y together would take 1/20 + 1/20 = 2/20 = 1/10 i.e. 10 days to complete the work.

So Option C is correct

MAHATRANSCO AE Electrical Mock Test - 3 - Question 30
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'निरर्थक गोष्टी व गप्पा' या शब्दसमूहासाठी खालीलपैकी योग्य शब्द निवडा.
Detailed Solution for MAHATRANSCO AE Electrical Mock Test - 3 - Question 30

शब्दसमूह : अनेक शब्दांनी जो अर्थ प्राप्त होतो त्याच अर्थासाठी एकच शब्द वापरणे म्हणजे शब्दसमूह होय.

भाकडकथा - 'निरर्थक गोष्टी व गप्पा'.

भाकडकथा म्हणजे कंटाळवाणी गोष्ट किंवा वायफळ गोष्टी.

वरील प्रमाणे 'निरर्थक गोष्टी व गप्पा' या शब्दसमूहासाठी भाकडकथा हा योग्य शब्द आहे.

अशा प्रकारे वरील भाकडकथा हा योग्य पर्याय आहे.

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