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MAHATRANSCO AE Electrical Mock Test - 1 - Electrical Engineering (EE) MCQ


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30 Questions MCQ Test - MAHATRANSCO AE Electrical Mock Test - 1

MAHATRANSCO AE Electrical Mock Test - 1 for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The MAHATRANSCO AE Electrical Mock Test - 1 questions and answers have been prepared according to the Electrical Engineering (EE) exam syllabus.The MAHATRANSCO AE Electrical Mock Test - 1 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 - 1 below.
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MAHATRANSCO AE Electrical Mock Test - 1 - Question 1

The mean-square of a zero-mean random process is  where k is Boltzmann’s constant, T is the absolute temperature, and C is capacitance. The standard deviation of the random process is 

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

Given that
Mean square of random process 
Mean is given zero ⇒ E (x) = 0
We know that E(x2) – [E(x)]2 = variance

Standard deviation = 

MAHATRANSCO AE Electrical Mock Test - 1 - Question 2

The transfer function of a real system, H(s), is given as :
 

where A, B, C and D are positive constants. This system cannot operate as 

Detailed Solution for MAHATRANSCO AE Electrical Mock Test - 1 - Question 2

At low = freq. (s = 0)

H(0) = B/D

  At high - freq. (s = ∞)

H(∞) = 0

Since, H(∞) should be non-zero for HPF. So, the above system cannot be operated as HPF because for high pass filter should pass high-frequency component i.e H(∞) should be non-zero.

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MAHATRANSCO AE Electrical Mock Test - 1 - Question 3

When the Wheatstone bridge shown is used to find value of resistance Rx, the Galvanometer G indicates zero current when R1=50, R2=65 & R3=100. If R3 is known with +5% tolerance on its nominal value of 100, what is range of Rx in ohms?

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

MAHATRANSCO AE Electrical Mock Test - 1 - Question 4

The inverse Laplace transform of   for ≥ 0 is 

Detailed Solution for MAHATRANSCO AE Electrical Mock Test - 1 - Question 4


H (t) = L–1 [H(S)]

H (t) = e–t+2te–t

MAHATRANSCO AE Electrical Mock Test - 1 - Question 5

Statements:
All the harmoniums are instruments.
All the instruments are flutes.

Conclusions:
(1) All the flutes are instruments.
(2) All the harmoniums are flutes.

Detailed Solution for MAHATRANSCO AE Electrical Mock Test - 1 - Question 5

Since all the harmoniums are instruments and all instruments are flutes, then flutes include instruments and harmoniums. And instruments include harmoniums.
(i) All flutes cannot be instruments, because instruments are flutes, but flutes can contain something else as well.
(ii) All the harmoniums are flutes because harmoniums are instruments and instruments are flutes.

MAHATRANSCO AE Electrical Mock Test - 1 - Question 6

Directions: Study the following information to answer the given question.

Five Women Madhu, Kanchan, Chandni, Sheela and Rekha are married to Doctor, Naval Officer, Lawyer, Sales Manager and Engineer. The ladies are Accountant, Teacher and Doctor by Profession, while two are Housewives.
(i) One husband and Wife have the same profession.
(ii) Madhu and Kanchan are neither Housewives nor they are married to Doctor or Lawyer.
(iii) Sheela and Rekha are neither Teacher nor Accountant and their Husbands are neither the Engineer nor are in a Navy.
(iv) The Sales Manager is not Madhu’s or Chandni’s husband. His Wife is an Accountant.
(v) Rekha is not a doctor
(Vi) Chandni is not a Teacher and the Teacher’s husband is Naval officer.

Q. Who is the wife of Engineer?

Detailed Solution for MAHATRANSCO AE Electrical Mock Test - 1 - Question 6

MAHATRANSCO AE Electrical Mock Test - 1 - Question 7

If 'orange' is called 'butter', 'butter' is called 'soap', 'soap' is called 'ink', 'ink' is called 'honey' and 'honey' is called 'orange', then which of the following is used for washing clothes?  

Detailed Solution for MAHATRANSCO AE Electrical Mock Test - 1 - Question 7

Soap is used for washing clothes and it is called 'ink' according to the question. Hence, 'ink' is the correct answer.

MAHATRANSCO AE Electrical Mock Test - 1 - Question 8

Directions: Read the information given below to answer the question.

Rani and Shreshtha are a married couple having two daughters, Medha and Deepti. Deepti is married to Anurag, who is the son of Garima and Tarun. Nidhi is the daughter of Anurag. Komal, who is Anurag's sister, is married to Harshit and has two sons, Aman and Prem. Prem is the grandson of Garima and Tarun.

Q. What is the relation between Aman and Nidhi?

Detailed Solution for MAHATRANSCO AE Electrical Mock Test - 1 - Question 8

Nidhi is the daughter of Anurag and Aman is the son of Anurag's sister. So, Aman and Nidhi are cousins.

MAHATRANSCO AE Electrical Mock Test - 1 - Question 9

Directions: Study the information given below and answer the question that follows.

A is the father of two children, B and D, who are of different sexes.
C is B's spouse.
E is of the same sex as D.
B and C have two children: F, who is of the same sex as B and G, who is of the same sex as C.
E's mother H, who is married to L, is the sister of D's mother, M.
E and E's spouse, I, have two children J and K, who are of the same sex as I.
No person has married more than once, and no children have been born out of wedlock.
The only restriction on marriage is that marriage to a sibling, to a direct descendant, or to more than one person at the same time is forbidden.

Q. According to the rules, D can marry

Detailed Solution for MAHATRANSCO AE Electrical Mock Test - 1 - Question 9


We can draw the above diagram based on the information given in the question. If the gender of the person is known, it is denoted by the suffix m or f. If it is not known, then it is denoted by x or y. We know, for example, that G is of the same sex as C, so we can label both as x; B and therefore, F are of the opposite sex from C, so we can label both y, and so on. Horizontal lines indicate marriage, vertical or diagonal lines indicate children. 
D is an x, and can therefore, marry any unmarried y. So, he can marry F, J, or K. 
Hence, answer option (1) is correct.

MAHATRANSCO AE Electrical Mock Test - 1 - Question 10

In the following question assuming the given statements to be true, find which of the conclusion among given conclusions is/are definitely true and then give your answer accordingly.

Statements: 
L > F = S < T ≤ Q < P

Conclusions:

I. F < Q

II. L > S

III. T < P

Detailed Solution for MAHATRANSCO AE Electrical Mock Test - 1 - Question 10

Given statements: L > F = S < T ≤ Q < P

I. F < Q → True (as F = S < T ≤ Q)

II. L > S → True (as L > F = S)

III. T < P → True (as T ≤ Q < P)

Hence, all of the given conclusions follow.

MAHATRANSCO AE Electrical Mock Test - 1 - Question 11

In the following question, assuming the given statements to be true, find which of the following among the given conclusions is/are definitely true and then give your answers accordingly.

Statement: 
S = U > K > L ≥ Y < R ≤ B

Conclusion:

I. K < Y

II. L > Y

III. L = Y

Detailed Solution for MAHATRANSCO AE Electrical Mock Test - 1 - Question 11

Statement: S = U > K > L ≥ Y < R ≤ B

Conclusion:

I. K < Y → False (As, S = U > K > L ≥ Y)

II. L > Y → False (As, S = U > K > L ≥ Y)

III. L = Y → False (As, S = U > K > L ≥ Y)

But conclusion II and III forms a complementary pair.

Hence, either conclusion II or III follows.

MAHATRANSCO AE Electrical Mock Test - 1 - Question 12

Direction: Study the following information and answer the questions that follow:

Five guest lecturers have to be scheduled for students starting from Monday and ending on Friday of the same week. The topics of lectures are maths, science, language, civics, and grooming, not necessarily in the same order. The experts for lectures belong to Hyderabad, Chennai, Mumbai, Delhi, and Jaipur, not necessarily in the same order. Three guest lecturers are females and two are males.

The males will take lectures on alternate days and won't be available on Monday. The expert who belongs to Delhi is a female and is free only on Tuesday. The Civics lecture needs to be scheduled on Wednesday. Neither grooming nor maths can be scheduled for Monday. The language lecture should be scheduled after civics. The grooming expert belongs to Hyderabad. The expert of science neither belongs to Chennai, nor to Jaipur. A female expert belongs to Jaipur.

Q. 
Which of the following statements is true about the lecture on grooming?

A. The expert who took the lecture is female.

B. The expert delivered a lecture on Thursday.

C. The expert delivered a lecture on Tuesday.

Detailed Solution for MAHATRANSCO AE Electrical Mock Test - 1 - Question 12

MAHATRANSCO AE Electrical Mock Test - 1 - Question 13

Direction: Study the following information and answer the questions that follow:

Five guest lecturers have to be scheduled for students starting from Monday and ending on Friday of the same week. The topics of lectures are maths, science, language, civics, and grooming, not necessarily in the same order. The experts for lectures belong to Hyderabad, Chennai, Mumbai, Delhi, and Jaipur, not necessarily in the same order. Three guest lecturers are females and two are males.

The males will take lectures on alternate days and won't be available on Monday. The expert who belongs to Delhi is a female and is free only on Tuesday. The Civics lecture needs to be scheduled on Wednesday. Neither grooming nor maths can be scheduled for Monday. The language lecture should be scheduled after civics. The grooming expert belongs to Hyderabad. The expert of science neither belongs to Chennai, nor to Jaipur. A female expert belongs to Jaipur.

Q. 
The expert from Delhi delivered a lecture on which of the following subjects?

Detailed Solution for MAHATRANSCO AE Electrical Mock Test - 1 - Question 13

MAHATRANSCO AE Electrical Mock Test - 1 - Question 14

For a student to qualify for a certain course, the average of his marks in the permitted 3 attempts must be more than 60. His first two attempts yielded only 45 and 62 marks respectively. What is the minimum score required in the third attempt to qualify?

Detailed Solution for MAHATRANSCO AE Electrical Mock Test - 1 - Question 14

Let marks required be x 
= (45 + 62 + x)/3 = 60
45+62+ x = 60*3
107 + x = 180 
x = 180 - 107
x = 73

MAHATRANSCO AE Electrical Mock Test - 1 - Question 15

Directions to Solve

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

Question -

CUP : LIP :: BIRD : ?

Detailed Solution for MAHATRANSCO AE Electrical Mock Test - 1 - Question 15

Cup is used to drink something with the help of lips. Similarly birds collects grass with the help of beak to make her nest.

MAHATRANSCO AE Electrical Mock Test - 1 - Question 16

Directions to Solve

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

Question -

Flow : River :: Stagnant : ?

Detailed Solution for MAHATRANSCO AE Electrical Mock Test - 1 - Question 16

As Water of a River flows similarly water of Pool is Stagnant.

MAHATRANSCO AE Electrical Mock Test - 1 - Question 17

Directions to Solve

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

Question -

Ornithologist : Bird :: Archealogist : ?

Detailed Solution for MAHATRANSCO AE Electrical Mock Test - 1 - Question 17

As Ornithologist is a specialist of Birds similarly Archealogist is a specialist of Archealogy.

MAHATRANSCO AE Electrical Mock Test - 1 - Question 18

(A) An apple a day, keep the doctor away. 
(B) Be the change you wish to see in the world. 
(C) Without music, life would be a mistake. 
(D) A room without books is like a body without soul

Detailed Solution for MAHATRANSCO AE Electrical Mock Test - 1 - Question 18

 I – ‘The doctor away’ is an inference which follows from ‘An apple a day’.
J – This is a quote which is an opinion of someone.
J – This is a quote which is an opinion of someone.
J – This is a quote which is an opinion of someone.

MAHATRANSCO AE Electrical Mock Test - 1 - Question 19

(A) I believe that 20% of your work generates 80% of your returns 
(B) Justice R Banumathi recently became the first woman judge from Tamil Nadu to be elevated to the Supreme Court. 
(C) Raman asks a lot of questions in the class. This leads to him understanding the class concepts better than others. 
(D) Taking the CLAT online may or may not lead to an increase in the number of aspirants taking the CLAT.

Detailed Solution for MAHATRANSCO AE Electrical Mock Test - 1 - Question 19

J – Though this might seem like a fact, it is at best an opinion. Furthermore, the person making the statement has said ‘I believe’.
F – This is a verifiable fact.
I – Raman’s asking a lot of questions (Fact) leads to him understanding the class concepts better than others (Inference).
I – Taking the CLAT online (Fact) may or may not lead to an increase in the number of aspirants taking the CLAT (Inference).

MAHATRANSCO AE Electrical Mock Test - 1 - Question 20

A container contains 40 litres of milk. From this container 4 litres of milk was taken out and replaced by water. This process was repeated further two times. How much milk is now contained by the container?

Detailed Solution for MAHATRANSCO AE Electrical Mock Test - 1 - Question 20

Assume that a container contains x of liquid from which y units are taken out and replaced by water. After n operations, the quantity of pure liquid


Hence milk now contained by the container = 40

MAHATRANSCO AE Electrical Mock Test - 1 - Question 21

Look at this series: 2, 1, (1/2), (1/4),...so on. What number should come next?

Detailed Solution for MAHATRANSCO AE Electrical Mock Test - 1 - Question 21

This is a simple division series, each number is one-half of the previous number.

In other terms to say, the number is divided by 2 successively to get the next result.

► 4/2 = 2
► 2/2 = 1
► 1/2 = 1/2
► (1/2) / 2 = 1/4
► (1/4) / 2 = 1/8 and so on.

MAHATRANSCO AE Electrical Mock Test - 1 - Question 22

The average of a batsman after 25 innings was 56 runs per innings. If after the 26th inning his average increased by 2 runs, then what was his score in the 26th inning? 

Detailed Solution for MAHATRANSCO AE Electrical Mock Test - 1 - Question 22

Normal process:
Runs in 26th inning = Runs total after 26 innings – Runs total after 25 innings
= 26 X 58 – 25 X 56

For Easy calculation use:

= (56 + 2) X 26 – 56 X 25 )
= 2 X 26 + (56 X 26 – 56 X 25)
= 52 + 56 = 108

Since the average increases by 2 runs per innings, it is equivalent to 2 runs being added to each score in the first 25 innings. Now, since these runs can only be added by the runs scored in the 26th inning, the score in the 26th inning must be 25 X 2 = 50 runs higher than the average after 26 innings (i.e. new average = 58).

Hence, runs scored in 26th inning:
= New Average + Old innings X Change in average

= 58 + 25 X 2
= 108 

MAHATRANSCO AE Electrical Mock Test - 1 - Question 23

If x = 2 is a root of the quadratic equation 3x2 – px – 2 = 0, then the value of ‘p’ is

Detailed Solution for MAHATRANSCO AE Electrical Mock Test - 1 - Question 23

MAHATRANSCO AE Electrical Mock Test - 1 - Question 24

Harish bought a horse for $20,000 and sold it to Monika at a gain of 20%. Monika sold it to Sonu at a loss of 5%. Find the cost price for Sonu.

Detailed Solution for MAHATRANSCO AE Electrical Mock Test - 1 - Question 24

CP = $20,000
SP for Harish = CP for Monika = 1.2 × 20,000 = $24,000
SP for Monika = CP for Sonu = 0.95 × 24,000 = $22,800

MAHATRANSCO AE Electrical Mock Test - 1 - Question 25

The height of a cylinder is 14 cm and its curved surface area is 264 sq. cm. Find the radius of its base.  

Detailed Solution for MAHATRANSCO AE Electrical Mock Test - 1 - Question 25

Curved surface area of a cylinder = 2πrh
Given: h = 14 cm and curved surface area = 264 cm2
∴ 2πrh = 264
r = 3 cm

MAHATRANSCO AE Electrical Mock Test - 1 - Question 26

A man is 24 years older than his son. In two years, his age will be twice the age of his son. The present age of his son is:

Detailed Solution for MAHATRANSCO AE Electrical Mock Test - 1 - Question 26

Let the son's present age be x years. Then, man's present age = (x + 24) years.

 (x + 24) + 2 = 2(x + 2)

 x + 26 = 2x + 4

 x = 22.

MAHATRANSCO AE Electrical Mock Test - 1 - Question 27

The least number which when divided by 5, 6, 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder, is

Detailed Solution for MAHATRANSCO AE Electrical Mock Test - 1 - Question 27

 L.C.M of 5, 6, 7, 8 = 840

Therefore, Required Number is of the form 840k+3.

Least value of k for which (840k+3) is divisible by 9 is k = 2 

Therefore, Required  Number = (840 x 2+3)=1683

MAHATRANSCO AE Electrical Mock Test - 1 - Question 28

The sum of 3 consecutive even number is 40 more than the average of these numbers. Which of the following is the 2 largest number ?

Detailed Solution for MAHATRANSCO AE Electrical Mock Test - 1 - Question 28

X+x+2+x+4 = 40+(x+x+2+x+4)/3
3x+6 = 40+ (3x+6)/3
(9x+18 – 3x-6)/3= 40
6x + 12 = 120
X = 108/6 = 18
18+2 = 20

MAHATRANSCO AE Electrical Mock Test - 1 - Question 29

In a class, 60% of the students are boys and in an examination, 80% of the girls scored more than 40 marks(Maximum Marks:150). If 60% of the total students scored more than 40 marks in the same exam, what is the fraction of the boys who scored 40 marks or less.

Detailed Solution for MAHATRANSCO AE Electrical Mock Test - 1 - Question 29

A.8/15
Explanation: Assume Total no of students = 100 60% of the students are boys. so Boys=60,Girls=40 No. of girls who scored more than 40 marks = 80% of girls = 80% of 40 = 32.
No. of students who scored more than 40 marks = 60% of Total Students = 60 Therefore No. of boys who scored more than 40 marks = 60-32=28 No. of boys who scored less= Total boys – Boys(scored more) = 60-28=32 Fraction=(scored less)/Total boys = 32/60 =8/15

MAHATRANSCO AE Electrical Mock Test - 1 - Question 30

Q.

Two ships are sailing in the sea on the two sides of a lighthouse. The angle of elevation of the top of the lighthouse is observed from the ships are 30° and 45° respectively. If the lighthouse is 100 m high, the distance between the two ships is:

Detailed Solution for MAHATRANSCO AE Electrical Mock Test - 1 - Question 30

Let AB be the lighthouse and C and D be the positions of the ships.

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