HAL FULL LENGTH MOCK -1 for ESE & GATE EC Exams

Question 1

Who threw bomb at carriage in 1908 which was supposed to be carrying Judge Kingsford but actually he was not in the carriage and unfortunately who British ladies killed in the attack?

Question 2

Which part of the Indian constitution has been described as the soul of the constitution by Dr BR Ambedkar?

Question 3

The name of the common currency launched by members of the European Union is

Question 4

The early Buddhist scriptures were composed in

Question 5

Obsidian, Andesite and Parodied are

Question 6

Which of the following is not a cause of low productivity in Indian agriculture?

Question 7

Which of the following is the largest ecosystem of the earth?

Question 8

Who discovered that fingerprints are unique to each individual?

Question 9

Direction: In the following question, a sentence is divided into five different parts including two highlighted ones. The highlighted parts of the sentence are grammatically correct and do not require any correction. However, the remaining three parts may contain errors in one or more than one parts of the sentence. Choose the best alternative among the five options given below each sentence that determines the portions that require correction to make the sentence grammatically correct.

Russian President took a calculated political risk (I)/ in conferring the highest national honour on the Prime Minister (II)/ on the eve of Indian elections, yet there are divergent political interests (III)/ among them in respect of Afghanistan, Pakistan, and the general ‘pro-US orientation’ (IV)/ in Indian foreign policy. (V)

Question 10

Direction: In the following question, a sentence with four highlighted words is given. The words are denoted by (A), (B), (C) and (D). One of these words may be incorrect or inappropriate in the given context. Find the inappropriate or wrongly spelt word. If all the words are appropriate in the context then mark ‘All are correct’ as your answer.

All the buffet ornemanted (A) with melons carved (B) in the shape of flowers, waiters tended (C) a fresh squeezed juice station (D).

Question 11

Select the most appropriate words to fill in the blank in the given sentence.

I dislike people with ______ who say something and do something else.

Question 12

In this section, each item consists of six sentences of a passage. The first and sixth Sentences are given in the beginning as S1 and S6. The middle bur sentences In each item have been jumbled up and labelled as P, Q, R and S. You are required to find the proper sequence of the four sentences and mark your response accordingly on the Answer Sheet.

S1: In London, there is a popular public park called Hyde Park.
S6: They will be standing on soapboxes and speaking away on various subjects.
P: He may succeed in attracting an audience.
Q: Anyone who wants to make a speech can do so in Speaker’s Corner.
R: In this park, there is a place known as ‘Speaker’s Corner’.
S: On Sunday afternoons, We can find many such people there.

Question 13

Identify the best way to improve the underlined part of the given sentence. If there is no improvement required, select ‘no Improvement’.

It was mere affection that stops him beating his son.

Question 14

Directions: For each of the following questions there is some relationship between terms to the left of:: and the same exists between the two terms to its right in each these questions the fourth term is missing term is one of the alternatives among the five term given below. Find out this term.

PCWL: REXM :: THNY:

Question 15

If 7 × 8 = 49, 4 × 4 = 12 and 6 × 4 = 18, what will 9 × 6 be?

Question 16

‘A’ is the sister of ‘B’. ‘B’ is married to ‘D’. ‘B’ and ‘D’ have a daughter ‘G’. How is ‘G’ related to ‘A’?

Question 17

From the given options, select the figure which is embedded in the following figure (rotation is NOT allowed).

Question 18

Direction: Study the following information carefully and answer the given questions.

Amongst eight friends – A, B, C, D, E, F, G and H each have different heights. H is taller than D and E but not as tall as C. D is taller than E but shorter than B. F is the third tallest person. A is shorter than B and E. G is taller than E but shorter than D. B is shorter than F. The height of the second tallest person is 40cm and third shortest person is 15cm.

Who amongst the following is the fifth tallest person?

Question 19

Which country won the ATP Cup title 2022?

Question 20

Renowned personality, Marilyn Bergman (93) passed away recently, she was a veteran _____.

Question 21

If two stage of a cascaded amplifier have decibel gain of 60 and 30 then overall gain is in dB is

Question 22

Given h(n)={-1,-2,2,1} represents__________filter

Question 23

Assume the op-amps in figure to be ideal. If the input signal V_i is a sinusoidal of 2V peak-to-peak and with zero DC component, the output signal V₀ is?

Question 24

How many number of branches the root loci of the equation

have?

Question 25

Let the fourier transform of a signal x(t) be X(jω).

Then the value of X(0) is ______.

Question 26

A certain unity feedback control system is given by,

G(s) =

If the system has the gain margin of 10 dB, then find the steady state error for a unit ramp input.

Question 27

Which one of the following is not correct about recursion?

Question 28

The Dirac function δ(t) is defined as

Question 29

Consider the circuit shown in the figure. The expression for the next, state Q(t + 1) is

Question 30

In a microprocessor, the service routine for a certain interrupt starts from a fixed location of memory which cannot be externally set, but the interrupt can be delayed or rejected. Such an interrupt is

Question 31

The possible imaginary part of the complex number

is:

Question 32

Consider a continuous-time LTI system with frequency response

and

Calculate x(t).

Question 33

A super heterodyne receiver uses an IF frequency of 455 kHz. The receiver is tuned to a transmitter having a carrier frequency of 1120 kHz. The permissible frequencies of the local oscillator are

Question 34

Find the z-transform of the signal, obtain by sampling of x(t) = e^–atu(t)

Question 35

Optical Pyrometer is generally used to measure

Question 36

The voltage (

) developed across a glass electrode of pH measurement is related to the temperature (

) by the relation

Question 37

A single strain gauge of resistance 120 Ω is mounted along the axial direction of an axially loaded specimen of steel (E=200 Gpa). The percentage change in length of the rod due to loading is 3% and the corresponding change in resistivity of strain gauge material is 0.3%. For a Poisson’s ratio of 0.3, the value of the gauge factor is

Question 38

A super heterodyne receiver is designed to receive transmitted signals between 5 and 10 MHz. High – side tuning is to be used. The tuning range of the local oscillator for IF frequency 500 kHz would be

Question 39

The semiconductor random access memory of a computer has 65.536 words, each of 8-bit. It can perform two basic operations Read and Write. How many bits are there in the Address Register of this memory?

Question 40

An RC series circuit, initially at rest has a step voltage signal. The response V_C(t) across C is V_C(t) = 2 – 2e^–4t. If now, there is an initial voltage at C of 4 V, then the response V_C(t) is given by

Question 41

In a steady state AC Position control system having unity feedback,

G(s) =

If the system has steady state error is 0.02 for unit ramp input. Find the % M_P of the system?

Question 42

For the N–channel depletion mode MOSFET, in circuit shown below, V_TN = –2 V and K_N =

= 0.1 mA/V². Assume that V_DD = 5V and R_S = 5 KW_.Then the value of V_DS (drain to source voltage) is?

Question 43

The Cauchy random variable has the following probability distribution function,

For real number, 0 < b and –∞< a <∞

Find distribution function of X.

Question 44

If push and pop operation on a stack takes 1 unit time, how much time would it take to delete an element at n^th position from the bottom?

Question 45

If for an event A, the odds in favour of the event are 5 to 4. The probability of success of A is:

Question 46

In the MOS process, structure like the gate of a transistor are used to make capacitors as well. If the oxide thickness is 4nm, what area is needed to achieve a capacitance of 1pF? (the permittivity of silicon dioxide is 3.9 ϵ_o)

Question 47

Consider a non-causal system whose Z-transform is given by

Find x(1) = ___________?

Question 48

A Voltage source having an internal impedance of (3 + j4) Ω supplies power to a resistive load. To get the maximum power transfer from source to load, the value of load resistive should be

Question 49

Consider the circuit shown below :

If the phase difference between V(t) and i(t) in steady state is -45° then, the value of ‘R’ is

Question 50

Consider the circuit shown below:

The value of input resistance Rin is (Assuming the op-amp to be ideal)