# GATE 2021: Toppers Mini Mock Quiz 1 (App update required to attempt this test)

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Question 1

**In the following question, some statements followed by some conclusions are given. Taking the given statements to be true even if they seem to be at variance from commonly known facts, read all the conclusions and then decide which of the given conclusions logically follows the given statements.**

**Parents must understand that their child cannot attain excellence on his own. He needs their support. They must thus be open to help him at various steps rather than merely setting high expectations.**

Statement:

Statement:

**Conclusion:**I. Ideal students are not born ideal or perfect. They are nurtured to become ideal by their educators. The environment at home has a great impact on the way a student performs in school.

II. The life of an ideal student may seem tough from a distance. However, it is actually much more sorted as compared to those who procrastinate and do not give complete attention to their studies.

Question 2

**Direction:**Each question below is followed by two statements I and II. You have to determine whether the data given in the statement is sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose the best possible answer.

A man deposited Rs. ‘x’ in bank which gives simple interest at the rate of 8% p.a. Find the value of ‘x’.

**Statement I:** After 3 years, amount received by him is Rs. (x + 672).

**Statement II:** Interest earned by him after 3 years is 24% of the amount deposited by him.

Question 3

Question 4

In the circuit shown in figure below, what is the value of R_{L} such that maximum power is transferred to the load?

Question 5

_{PO}to P

_{no}aver the space charge layer width

The hole diffusion constant in the space charge region is 6.5 cm^{2}/sec. Then the hole diffusion current density J_{P} is _______ kA/cm^{2}.

(Note: Depletion width in the p–side, x_{p} = 1 and in the n–side, x_{n} = 2 )

Question 6

Then the value of ?

Question 7

Question 8

Question 9

Question 10

If the system is excited by an input x(t) = δ (t – 1) + δ (t – 3), then output y(t) will be

Question 11

Question 12

______ V.

Question 13

Question 14

_{G}= 2.8 V, drain Voltage (V

_{D}) = 5 V, Source Voltage V

_{S}= 1V and drain current I

_{D}= 0.24 m. Then the ratio (W/L) is

Question 15

^{2}at a point (1, 2, 3) is

Question 16

Total no. of employees = 2400

What is the number of offices in which the number of employees of the company is between 350 and 650?

Question 17

I. their sum is 25,

II. the numbers 2, a, b are consecutive terms of an A.P. and

III. The numbers b, c, 18 are consecutive terms of a G.P.

Question 18

__Statements:__All lions are ducks.

No duck is a horse.

All horses are fruits.

Conclusions:

I. No lion is a horse.

II. Some fruits are horses.

III. Some ducks are lions.

IV. Some lions are horses.

Question 19

Question 20

_{T}= 2V and λ = 0. The transistor is used to amplify the small signal V

_{in}as shown in the figure. If the value of signal V

_{in}= 3sin(wt) mV, then the value of output signal V

_{0}(t) is equal to :-

Question 21

Question 22

_{b}and amplitudes

__+__A to transmit digital transmission information at a rate R

_{b}= 10

^{5}bps. If power-spectral density of AWGN is N

_{o}/2 where N

_{o}= 10

^{–2}W/Hz, determine the value of A that is required to achieve a probability of error P

_{e}= 10

^{–6}

Assume Q(4.5) ≈ 10^{–6}

Question 23

Question 24

_{10}.

Question 25

*U*= sinθ sinφ, 0≤ θ ≤ π , 0≤ φ ≤ π

The directivity of antenna is given by _______.

Question 26

^{10}cm

^{–3}.

(Assume intrinsic carries concentration is n_{i} = 2.5 x 10^{10}/cm^{3} & _{p} = 0.4 _{n})

Question 27

For , how many closed loop poles of a unity feedback system are in the right half of s-plane

Question 28

Question 29

Question 30

P(Y/X) =

P(X_{1}) =1/8 P(X_{2}) =1/8 P(X_{3}) =6/8

Calculate information carried by the channel.

Question 31

C.E = = 0

The number of symmetric poles located in right half of s-plane is

Question 32

^{5})?

Question 33

Then the modulus of the given counter is _________.(Assume Q_{3} be MSB & Q_{0} be LSB)

Question 34

Question 35

_{T}= 1V, the channel length modulation parameter

l = 0 and = 0.3 mA/V^{2}. Then the output voltage V_{o} is

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ESE & GATE ECGeneral