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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) 2024 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) 2024 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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A six-pulse thyristor bridge rectifier is connected to a balanced three-phase, 50 Hz AC source. Assuming that the DC output current of the rectifier is constant, the lowest harmonic component in the AC input current is

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

We know that,
For 6-pulse converter harmonic present in AC current are 6K ± 1
General expression NK ± 1  [k = 0, 1, 2, 3]
For 6 pulse n = 6
Lowest order harmonic = 5
Lower harmonic frequency = 5 × 50 = 250 Hz

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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If TOUR is written in a certain code as 1234, CLEAR as 56784 and SPARE as 90847, what will be the 5th digit for SCULPTURE in the same code?
Detailed Solution for MAHATRANSCO AE Electrical Mock Test - 3 - Question 5

TOUR → 1234
CLEAR → 56784
SPARE → 90847

Common alphabets in the three words are: 
(i) R coded with the number 4 in each word.
(ii) E coded with the number 7 in each word.
(iii) A coded with the number 8 in each word. 

It is clear from here that each alphabet represents a particular number/code.

In the word, SCULPTURE the 5th digit is P and in the above-given words, P is coded with the number 0.

MAHATRANSCO AE Electrical Mock Test - 3 - Question 6
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If POSTPONE is written as OPTSOPEN, how will RAJASTAN be written?
Detailed Solution for MAHATRANSCO AE Electrical Mock Test - 3 - Question 6

Every letter is interchanged by its subsequent second letter.
i.e. POSTPONE → OPTSOPEN

Therefore, RAJASTAN → ARAJTSNA

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.  Which are the three girls?
Detailed Solution for MAHATRANSCO AE Electrical Mock Test - 3 - Question 8

MAHATRANSCO AE Electrical Mock Test - 3 - Question 9
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The solution of inequality 4x + 3 < 5x + 7 when x is a real number is
Detailed Solution for MAHATRANSCO AE Electrical Mock Test - 3 - Question 9

4x + 3 < 5x + 7
subtract 4 both sides,
4x + 3 - 3 < 5x + 7 - 3
⇒ 4x < 5x + 4
subtract ' 5x ' both sides ,
[ equal number may be subtracted from both sides of an inequality without affecting the sign of inequality]
4x - 5x < 5x + 4 - 5
-x < 4
now, multiple with (-1) then, sign of inequality change .
-x.(-1) > 4(-1)
x > -4
hence, x€ ( -4 , ∞)

MAHATRANSCO AE Electrical Mock Test - 3 - Question 10
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By solving the inequality 6x - 7 > 5, the answer will be
Detailed Solution for MAHATRANSCO AE Electrical Mock Test - 3 - Question 10

To solve the inequality 6x - 7 > 5, we need to isolate x on one side of the inequality sign. Here are the steps:
1. Add 7 to both sides of the inequality:
6x - 7 + 7 > 5 + 7
6x > 12
2. Divide both sides of the inequality by 6:
6x/6 > 12/6
x > 2
Therefore, the solution to the inequality 6x - 7 > 5 is x > 2. This means that x is greater than 2. Therefore, the correct answer to the question is D: x > 2

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 (1-5): Study the following information to answer the given question.

There are seven persons P, Q, R, S, T, U and V are going to the different cities i.e. Delhi, Patna, Bangalore, Ranchi, Goa, Mumbai and Chennai, but not necessarily in the same order also all of them work on different posts in their companies viz; CEO, GM, GDM, DM, ADM, EGM and AGM, but not necessarily in the same order. There are two person sits between the person who is ADM and the one who is immediate above the one, who is going to Chennai. Neither V nor T is going to Chennai and Patna. The person who is GM is going to Goa. EGM is above DM (but not immediate above). Only One person sits between CEO and ADM, who is going to Delhi. There are three person sit between the one who is going to Goa and V. The person who is GDM is going to Patna and sits immediate above ADM. U is EGM and he is not going to Bangalore and Ranchi. V is going to Ranchi and he is not CEO. Two persons sit between U and T. T is not going to that city, which is immediate below Delhi. Four persons sits between R and S. Q sits below R and two place above U.

Q. Four of the following Five are alike in a certain way and hence they form a group. Which one of the following does not belong to that group?
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 statement is true about G?
Detailed Solution for MAHATRANSCO AE Electrical Mock Test - 3 - Question 13

MAHATRANSCO AE Electrical Mock Test - 3 - Question 14
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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 14

MAHATRANSCO AE Electrical Mock Test - 3 - Question 15
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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 does not belong to a certain group?
Detailed Solution for MAHATRANSCO AE Electrical Mock Test - 3 - Question 15

MAHATRANSCO AE Electrical Mock Test - 3 - Question 16
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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. Who is living in flat 1 on floor 4?
Detailed Solution for MAHATRANSCO AE Electrical Mock Test - 3 - Question 16

MAHATRANSCO AE Electrical Mock Test - 3 - Question 17
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A defective watch which gains uniformly, is 5 minutes slow at 8 o'clock in the morning on Sunday and it is 5 minutes 48 seconds fast at 8 pm on following Sunday. When was it correct?
Detailed Solution for MAHATRANSCO AE Electrical Mock Test - 3 - Question 17

Sunday 8 am to next Sunday 8 pm time duration 24 × 7 + 12 = 180 hrs.
In 180 hrs total gain = 10 min 48 s = 648 s
Gain of 5 min = 300 s will be obtained in  

Hence, Sunday 8 am + 83 h 20 min = Wednesday 7 : 20 p.m.

MAHATRANSCO AE Electrical Mock Test - 3 - Question 18
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How many times are the hands of a clock at right angles in a day?  
Detailed Solution for MAHATRANSCO AE Electrical Mock Test - 3 - Question 18

Hands will be at right angle twice every hour except from 2 to 4 and 8 to 10 where hands will be at right angle only thrice instead of four times.
Thus, hands will be at right angle 22 times in 12 hours or 44 times in 24 hrs.

MAHATRANSCO AE Electrical Mock Test - 3 - Question 19
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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 19

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 20
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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 20

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 21
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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 21

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

MAHATRANSCO AE Electrical Mock Test - 3 - Question 22
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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 22

► 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 23
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If p = – 7 and q = 12 and x2+px+q=0, then the value of ‘x’ is
Detailed Solution for MAHATRANSCO AE Electrical Mock Test - 3 - Question 23

MAHATRANSCO AE Electrical Mock Test - 3 - Question 24
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If a square is rotated along one of its diagonals, then find the curved surface area of the shape formed by it, given that one of its side is 9 metres.
Detailed Solution for MAHATRANSCO AE Electrical Mock Test - 3 - Question 24

According to the question, rotating square along a diagonal makes two right-circular cones.
As the diagonal makes a right-angled triangle by the sides of square, so
D = 9√2 m (Using Pythagoras theorem)

So, curved surface area of the cone = 2 πrl

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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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 26

85*85 = 7225

MAHATRANSCO AE Electrical Mock Test - 3 - Question 27
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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 27

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 28
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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 28
  • 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 29
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Kamal started a business investing Rs 9000. After five months, Sameer joined with a capital of Rs 8000. If at the end of the year, they earn a profit of Rs. 6970, then what will be the share of Sameer in the profit ?
Detailed Solution for MAHATRANSCO AE Electrical Mock Test - 3 - Question 29

Now as per question, Kamal invested for 12 months and Sameer invested for 7 months.
So Kamal : Sameer = (9000 × 12) : (8000 × 7)
= 108 : 56
= 27 : 14
Sameer Ratio in profit will be 

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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