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Instrumentation Engineering - IN 2016 GATE Paper (Practice Test) - GATE MCQ


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30 Questions MCQ Test - Instrumentation Engineering - IN 2016 GATE Paper (Practice Test)

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Instrumentation Engineering - IN 2016 GATE Paper (Practice Test) - Question 1

Q.1 – Q.5 Carry One Mark Each

Q. An apple costs Rs.10. An onion costs Rs. 8.

Select the most suitable sentence with respect to grammar and usage.

Detailed Solution for Instrumentation Engineering - IN 2016 GATE Paper (Practice Test) - Question 1

Based on the given sentences option ‘C’ is the correct sentence which is in the comparative degree.

Option ‘A’ and ‘B’ convey the wrong comparison and ‘D’ has double comparative and so they are wrong

Instrumentation Engineering - IN 2016 GATE Paper (Practice Test) - Question 2

The Buddha said, “Holding on to anger is like "grasping" a hot coal with the intent of throwing it at 

Someone else; you are the one who gets burnt.”

Select the word below which is closest in meaning to the word underlined above.

Detailed Solution for Instrumentation Engineering - IN 2016 GATE Paper (Practice Test) - Question 2

The underlined word ‘grasping’ means clutching or holding something tightly.

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Instrumentation Engineering - IN 2016 GATE Paper (Practice Test) - Question 3

M has a son Q and a daughter R. He has no other children. E is the mother of P and daughter-in-law of M. How is P related to M?

Detailed Solution for Instrumentation Engineering - IN 2016 GATE Paper (Practice Test) - Question 3

Q and R is the son and Daughter’s of M, E is the mother of P and daughter-in-law of M means Q and E are married couples in the family 

P is the grandchild of M

Instrumentation Engineering - IN 2016 GATE Paper (Practice Test) - Question 4

The number that least fits this set: (324, 441, 97 and 64) is __________.

Detailed Solution for Instrumentation Engineering - IN 2016 GATE Paper (Practice Test) - Question 4

In the given set of numbers, all are perfect squares but 97 is not

324 is square of 18 ⇒ (18)2 = 324

441 is square of 21 ⇒ (21)2 = 441

64 is square of 8 ⇒ (8)2 = 64

97 is not the square of any number

The number that least fits in given set is 97.

Instrumentation Engineering - IN 2016 GATE Paper (Practice Test) - Question 5

It takes 10 s and 15 s, respectively, for two trains traveling at different constant speeds to completely pass a telegraph post. The length of the first train is 120 m and that of the second train is 150 m. The magnitude of the difference in the speeds of the two trains (in m/s) is ______.

Detailed Solution for Instrumentation Engineering - IN 2016 GATE Paper (Practice Test) - Question 5

Instrumentation Engineering - IN 2016 GATE Paper (Practice Test) - Question 6

Q.6 – Q.10 Carry Two Marks Each

Q. The velocity V of a vehicle along a straight line is measured in m/s and plotted as shown with respect to time in seconds. At the end of the 7 seconds, how much will the odometer reading increase by (in m) ?

Detailed Solution for Instrumentation Engineering - IN 2016 GATE Paper (Practice Test) - Question 6

The odometer reading increases from starting point to end point

Area of the given diagram = Odometer reading

Area of the velocity and time graph per second

Instrumentation Engineering - IN 2016 GATE Paper (Practice Test) - Question 7

The overwhelming number of people infected with rabies in India has been flagged by the World Health Organization as a source of concern. It is estimated that inoculating 70% of pets and stray dogs against rabies can lead to a significant reduction in the number of people infected with rabies.

Which of the following can be logically inferred from the above sentences?

Detailed Solution for Instrumentation Engineering - IN 2016 GATE Paper (Practice Test) - Question 7

Only option ‘A’ can be logically inferred from the information provided in the argument.

Instrumentation Engineering - IN 2016 GATE Paper (Practice Test) - Question 8

A flat is shared by four first year undergraduate students. They agreed to allow the oldest of them to enjoy some extra space in the flat. Manu is two months older than Sravan, who is three months younger than Trideep. Pavan is one month older than Sravan. Who should occupy the extra space in the flat?

Detailed Solution for Instrumentation Engineering - IN 2016 GATE Paper (Practice Test) - Question 8

Manu age = sravan age + 2 months

Manu age = Trideep age – 3 months

Pavan age = Sravan’s age + 1 month

From this Trideep age > Manu > Pavan > Sravan

Trideep can occupy the extra space in the flat

Instrumentation Engineering - IN 2016 GATE Paper (Practice Test) - Question 9

Find the area bounded by the lines 3x + 2y = 14, 2x –3y = 5 in the first quadrant.

Detailed Solution for Instrumentation Engineering - IN 2016 GATE Paper (Practice Test) - Question 9

Instrumentation Engineering - IN 2016 GATE Paper (Practice Test) - Question 10

A straight line is fit to a data set (ln x,y). This line intercepts the abscissa at In x = 0.1 and has a
slope of –0.02. What is the value of y at x = 5 from the fit?

Detailed Solution for Instrumentation Engineering - IN 2016 GATE Paper (Practice Test) - Question 10

*Answer can only contain numeric values
Instrumentation Engineering - IN 2016 GATE Paper (Practice Test) - Question 11

Q.11 – Q.35 Carry One Mark Each

Q. A straight line of the form y = mx + c passes through the origin and the point (x, y) = (2, 6). The value of m is __________.

(Important - Enter only the numerical value in the answer)


Detailed Solution for Instrumentation Engineering - IN 2016 GATE Paper (Practice Test) - Question 11

y = mx + c ------- (1)
Equation (1) passes through (0,0) we get C = 0
Equation (1) passes through (2,6), we get 6 = 2 m
m = 3

*Answer can only contain numeric values
Instrumentation Engineering - IN 2016 GATE Paper (Practice Test) - Question 12

(Important - Enter only the numerical value in the answer)


Detailed Solution for Instrumentation Engineering - IN 2016 GATE Paper (Practice Test) - Question 12

*Answer can only contain numeric values
Instrumentation Engineering - IN 2016 GATE Paper (Practice Test) - Question 13

A voltage V1 is measured 100 times and its average and standard deviation are 100 V and 1.5 V respectively. A second voltage V2, which is independent of V1, is measured 200 times and its average and standard deviation are 150 V and 2 V respectively. V3 is computed as: V3 = V1 + V2.

Then the standard deviation of V3 in volt is ___________.


Detailed Solution for Instrumentation Engineering - IN 2016 GATE Paper (Practice Test) - Question 13

Instrumentation Engineering - IN 2016 GATE Paper (Practice Test) - Question 14

The vector that is NOT perpendicular to the vectors (i + j + k) and (I + 2j + 3k) is________.

Instrumentation Engineering - IN 2016 GATE Paper (Practice Test) - Question 15

In the neighborhood of z = 1, the function f(z) has a power series expansion of the form f(z) = 1 + (1 - z) + (1 - z)2 + ………………

Then f(z) is

Detailed Solution for Instrumentation Engineering - IN 2016 GATE Paper (Practice Test) - Question 15

f (z) = 1 + (1–z) + (1–z) 2 + …..

= 1 – (z – 1) + (z – 1)2 – (z – 1)3 + (z – 1)4+ ….

*Answer can only contain numeric values
Instrumentation Engineering - IN 2016 GATE Paper (Practice Test) - Question 16

Three currents i1, i2 and i3 meet at a node as shown in the figure below, If i1 = 3 cos (ωt) ampere, i2 = 4 sin (ωt) ampere and i3 = I3 cos (ωt + θ) ampere, the value of I3 in ampere is ____________.

(Important - Enter only the numerical value in the answer)


Detailed Solution for Instrumentation Engineering - IN 2016 GATE Paper (Practice Test) - Question 16

*Answer can only contain numeric values
Instrumentation Engineering - IN 2016 GATE Paper (Practice Test) - Question 17

An air cored coil has a Q of 5 at a frequency of 100 kHz. The Q of the coil at 20 kHz (neglecting skin effect) will be ___________.

(Important - Enter only the numerical value in the answer)


Detailed Solution for Instrumentation Engineering - IN 2016 GATE Paper (Practice Test) - Question 17

*Answer can only contain numeric values
Instrumentation Engineering - IN 2016 GATE Paper (Practice Test) - Question 18

A current i(t) shown in the figure below is passed through a 1 F capacitor that had zero initial charge. The voltage across the capacitor for t > 2 s in volt is __________

(Important - Enter only the numerical value in the answer)


Detailed Solution for Instrumentation Engineering - IN 2016 GATE Paper (Practice Test) - Question 18

*Answer can only contain numeric values
Instrumentation Engineering - IN 2016 GATE Paper (Practice Test) - Question 19

The signal x[n] shown in the figure below is convolved with itself to get y [n]. The value of y [-1] is _________.

(Important - Enter only the numerical value in the answer)


Detailed Solution for Instrumentation Engineering - IN 2016 GATE Paper (Practice Test) - Question 19

*Answer can only contain numeric values
Instrumentation Engineering - IN 2016 GATE Paper (Practice Test) - Question 20

In the circuit shown below (v1 + v2) = [1 sin (2π 10000t) + 1 sin (2π 30000 t)] V. The RMS value of the current through the resistor R will be minimum if the value of the capacitor C in microfarad is _________.

(Important - Enter only the numerical value in the answer)


Detailed Solution for Instrumentation Engineering - IN 2016 GATE Paper (Practice Test) - Question 20

At parallel resonance impedance is maximum and current is minimum.

1st circuit is under resonance at f = 10000 Hz and 2nd circuit is under resonance at f = 30000 Hz

*Answer can only contain numeric values
Instrumentation Engineering - IN 2016 GATE Paper (Practice Test) - Question 21

If X(s), the Laplace transform of signal x(t) is given by , then the value of x(t) as t → ∞ is ________.

(Important - Enter only the numerical value in the answer)


Detailed Solution for Instrumentation Engineering - IN 2016 GATE Paper (Practice Test) - Question 21

*Answer can only contain numeric values
Instrumentation Engineering - IN 2016 GATE Paper (Practice Test) - Question 22

The number of times the Nyquist plot of  will encircle the origin clockwise is _______.

(Important - Enter only the numerical value in the answer)


Detailed Solution for Instrumentation Engineering - IN 2016 GATE Paper (Practice Test) - Question 22

Here nothing is said about feed back. Therefore G(s) must be treated as simple complex function not as open loop transfer function.

Instrumentation Engineering - IN 2016 GATE Paper (Practice Test) - Question 23

The value of ao which will ensure that the polynomial s3 + 3s2 + 2s + ao has roots on the left half of
the s-plane is

Detailed Solution for Instrumentation Engineering - IN 2016 GATE Paper (Practice Test) - Question 23

C.E = s3 + 3s2 + 2s + ao

*Answer can only contain numeric values
Instrumentation Engineering - IN 2016 GATE Paper (Practice Test) - Question 24

The input i(t) = 2sin(3t + π) is applied to a system whose transfer function . The amplitude of the output of the system is__________.

(Important - Enter only the numerical value in the answer)


Detailed Solution for Instrumentation Engineering - IN 2016 GATE Paper (Practice Test) - Question 24

*Answer can only contain numeric values
Instrumentation Engineering - IN 2016 GATE Paper (Practice Test) - Question 25

The diode D used in the circuit below is ideal. The voltage drop Vab across the 1 k? resistor in volt is _____.

(Important - Enter only the numerical value in the answer)


Detailed Solution for Instrumentation Engineering - IN 2016 GATE Paper (Practice Test) - Question 25

First diode is replaced by O.C.

*Answer can only contain numeric values
Instrumentation Engineering - IN 2016 GATE Paper (Practice Test) - Question 26

In the circuit given below, the op amp is ideal. The output voltage VO in volt is ______

(Important - Enter only the numerical value in the answer)


Detailed Solution for Instrumentation Engineering - IN 2016 GATE Paper (Practice Test) - Question 26

*Answer can only contain numeric values
Instrumentation Engineering - IN 2016 GATE Paper (Practice Test) - Question 27

In the circuit given below, the diodes D1 and D2 have a forward voltage drop of 0.6 V. The opamp used is ideal. The magnitude of the negative peak value of the output VO in volt is ________.

(Important - Enter only the numerical value in the answer)


Detailed Solution for Instrumentation Engineering - IN 2016 GATE Paper (Practice Test) - Question 27

Instrumentation Engineering - IN 2016 GATE Paper (Practice Test) - Question 28

The Boolean expression XY + (X' + Y') Z is equivalent to

Detailed Solution for Instrumentation Engineering - IN 2016 GATE Paper (Practice Test) - Question 28

Instrumentation Engineering - IN 2016 GATE Paper (Practice Test) - Question 29

In the digital circuit given below, F is

Detailed Solution for Instrumentation Engineering - IN 2016 GATE Paper (Practice Test) - Question 29

*Answer can only contain numeric values
Instrumentation Engineering - IN 2016 GATE Paper (Practice Test) - Question 30

A 3 ½ digit DMM has an accuracy specification of +1% of full scale (accuracy class 1). A reading of 100.00 mA is obtained on its 200 mA full scale range. The worst case error in the reading in milliampere is + _______

(Important - Enter only the numerical value in the answer)


Detailed Solution for Instrumentation Engineering - IN 2016 GATE Paper (Practice Test) - Question 30

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