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

## 65 Questions MCQ Test GATE Past Year Papers for Practice (All Branches) | Instrumentation Engineering - IN 2016 GATE Paper (Practice Test)

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Attempt Instrumentation Engineering - IN 2016 GATE Paper (Practice Test) | 65 questions in 180 minutes | Mock test for GATE preparation | Free important questions MCQ to study GATE Past Year Papers for Practice (All Branches) for GATE Exam | Download free PDF with solutions
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.

Solution:

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

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.

Solution:

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

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?

Solution:

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

QUESTION: 4

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

Solution:

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.

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 ______.

Solution:

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) ?

Solution:

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

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?

Solution:

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

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?

Solution:

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

QUESTION: 9

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

Solution:

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?

Solution:

*Answer can only contain numeric values
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)

Solution:

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
QUESTION: 12

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

Solution:

*Answer can only contain numeric values
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 ___________.

Solution:

QUESTION: 14

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

Solution:
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

Solution:

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
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)

Solution:

*Answer can only contain numeric values
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)

Solution:

*Answer can only contain numeric values
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)

Solution:

*Answer can only contain numeric values
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)

Solution:

*Answer can only contain numeric values
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)

Solution:

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
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)

Solution:

*Answer can only contain numeric values
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)

Solution:

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

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

Solution:

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

*Answer can only contain numeric values
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)

Solution:

*Answer can only contain numeric values
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)

Solution:

First diode is replaced by O.C.

*Answer can only contain numeric values
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)

Solution:

*Answer can only contain numeric values
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)

Solution:

QUESTION: 28

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

Solution:

QUESTION: 29

In the digital circuit given below, F is

Solution:

*Answer can only contain numeric values
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)

Solution:

*Answer can only contain numeric values
QUESTION: 31

A dc potentiometer, shown in figure below, is made by connecting fifteen 10? resistors and a 10? slide wire of length 1000 mm in series. The potentiometer is standardized with the current IP = 10.0000 mA. Balance for an unknown voltage is obtained when the dial is in position 11 (11 numbers of the fixed 10? resistor are included) and the slide wire is on the 234th mm position. The unknown voltage (up to four decimal places) in volt is ________.

Solution:

*Answer can only contain numeric values
QUESTION: 32

In the circuit given below, each input terminal of the op-amp draws a bias current of 10 nA. The effect due to these input bias currents on the output voltage VO will be zero, if the value of R chosen in kilo-ohm is _________.

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

Solution:

The value of ‘R’ chosen to make output voltage Vo due to input bias current to be zero is parallel combination of 30 K & 60 K

R=(30K//60K)

R = 20 k?

*Answer can only contain numeric values
QUESTION: 33

A peizo-electric type pressure sensor has a sensitivity of 1 mV/kPa and a bandwidth of 300 Hz to 300 kHz. For a constant (dc) pressure of 100 kPa, the steady state output of the sensor in millivolt is ________.

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

Solution:

For constant (DC) pressure peizo electric sensor will not respond so output is 0 Volt.

QUESTION: 34

The signal m(t) = cos(ωmt) is SSB (single side-band) modulated with a carrier cos(ωct) to get s(t). The signal obtained by passing s(t) through an ideal envelope detector is

Solution:
QUESTION: 35

Let  be a signal passed through an AWGN (additive white Gaussian noise) channel with noise power spectral density  to get v(t). If v(t) is passed through a matched-filter that is matched to s(t), then output signal-to nose ratio (SNR) of the matched-filter is

Solution:
*Answer can only contain numeric values
QUESTION: 36

36 – 65 Carry Two Marks Each

Let f:[–1, 1] → R, where f(x) = 2x3 –x4 –10. The minimum value of f(x) is _________.

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

Solution:

QUESTION: 37

An urn contains 5 red and 7 green balls. A ball is drawn at random and its colour is noted. The ball is placed back into the urn along with another ball of the same colour. The probability of getting a red ball in the next draw is

Solution:

*Answer can only contain numeric values
QUESTION: 38

Consider the matrix  A whose eigen values are 1, –1 and 3. Then trace of (A3 – 3A2) is ________.

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

Solution:

QUESTION: 39

The relationship between the force f(t) and the displacement x(t) of a spring-mass system (with a mass M, viscous damping D and spring constant K) is

X(s) and F(s) are the Laplace transforms of x(t) and f(t) respectively. With M = 0.1, D = 2, K = 10
in appropriate units, the transfer function    is

Solution:

*Answer can only contain numeric values
QUESTION: 40

The value of the integral   where z is a complex number and C is a unit circle with
center at 1 + 0j in the complex plane is _________.

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

Solution:

*Answer can only contain numeric values
QUESTION: 41

The current Ix in the circuit given below in milliampere is ________.

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

Solution:

*Answer can only contain numeric values
QUESTION: 42

In the circuit shown below, The current Is is in phase with Vs. The magnitude of Is in milliampere is __________.

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

Solution:

At resonance both I & V are in phase & Imaginary part is zero.

*Answer can only contain numeric values
QUESTION: 43

A symmetrical three-phase three-wire RYB system is connected to a balanced delta-connected load. The RMS values of the line current and line-to-line voltage are 10 A and 400 V respectively. The power in the system is measured using the two wattmeter method. The first wattmeter connected between R-line and Y-line reads zero. The reading of the second wattmeter (connected between B-line and Y-line) in watt is _________.

Solution:

*Answer can only contain numeric values
QUESTION: 44

In the strain gauge bridge circuit given below, R1 = R3 = R(1–x) and R2 = R4 = R(1+x) where R is 350?. The voltage sources vs and νn represent the dc excitation and the undesired noise/interference, respectively. The value of capacitor C in microfarad that is required to ensure that the output across a and b is low-pass filtered with cutoff frequency 150Hz is _______

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

Solution:

*Answer can only contain numeric values
QUESTION: 45

The voltage v(t) shown below is applied to the given circuit. v(t) = 3V for t < 0 and v(t) = 6V for f > 0. The value of current i(t) at t = 1s, in ampere is ______.

Solution:

QUESTION: 46

For the periodic signal x(t) shown below with period T = 8 s, the power in the 10th harmonic is

Solution:

Given signal satisfies odd and half wave symmetry so it contains only odd harmonics. power in 10th harmonic will be zero.

*Answer can only contain numeric values
QUESTION: 47

The fundamental period N0 of the discrete-time sinusoid   is _______.

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

Solution:

QUESTION: 48

The transfer function G(s) of a system which has the asymptotic Bode plot shown below is

Solution:

It is a second order lead compensator at ω= 10 phase is maximum

QUESTION: 49

For the feedback system given below, the transfer function  The system CAN NOT be stabilized with

Solution:

QUESTION: 50

Match the unit-step responses (1), (2) and (3) with the transfer functions P(s), Q(s) and R(s), given below.

Solution:

*Answer can only contain numeric values
QUESTION: 51

An ideal op-amp is used to realize a difference amplifier circuit given below having a gain of 10. If x = 0.025, the CMRR, the of the circuit in dB is ______.

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

Solution:

*Answer can only contain numeric values
QUESTION: 52

In the circuit given below, the op-amp is ideal. The input vx is a sinusoid. To ensure vy = vx, the value of CN in Pico-farad is ________.

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

Solution:

*Answer can only contain numeric values
QUESTION: 53

In the circuit given below, the op-amp is ideal. The value of current IL in microampere is ______.

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

Solution:

QUESTION: 54

A 4 to 1 multiplexer to realize a Boolean function F(X, Y, Z) is shown in the figure below. The inputs Y and Z are connected to the selectors of the MUX (Y is more significant). The canonical sum-of-product expression for F(X, Y, Z) is

Solution:

QUESTION: 55

A synchronous counter using two J – K flip flops that goes through the sequence of states: Q1 Q2

00 → 10 → 01 → 11 → 00 …. Is required. To achieve this, the inputs to the flip flops are

Solution:

QUESTION: 56

A 1 Kbyte memory module has to be interfaced with an 8-bit microprocessor that has 16 address lines. The address lines A0 to A9 of the processor are connected to the corresponding address lines of the memory module. The active low chip select of the memory module is connected to the y5 output of a 3 to 8 decoder with active low outputs. S0, S1, and S2 are the input lines to the decoder, with S2 as the MSB. The decoder has one active low and one active high EN2 enable lines a shown below. The address range(s) that gets mapped onto this memory module is (are)

Solution:

1 kB memory interfaced

*Answer can only contain numeric values
QUESTION: 57

A coil is tested with a series type Q-meter. Resonance at a particular frequency is obtained with a capacitance of 110 pF. When the frequency is doubled, the capacitance required for resonance is 20 pF. The distributed capacitance of the coil in pico farad is _______.

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

Solution:

*Answer can only contain numeric values
QUESTION: 58

The comparators (output = ‘1’, when input > 0 and output = ‘0’, when input < 0), exclusive-OR gate and the unity gain low-pass filter given in the circuit are ideal. The logic output voltage of the exclusive-OR gate is 0V and 5V. The cutoff frequency of the low-pass filter is 0.1 Hz. For V1 = 1 sin (3000t + 36o) V and V2 = 1 sin (3000t) V, the value of VO in volt is _______.

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

Solution:

*Answer can only contain numeric values
QUESTION: 59

A 200 mV full scale dual-slope 3 ½ digit DMM has a reference voltage of 100 mV and a first integration time of 100 ms. For an input of [100 + 10 Cos (100πt)] mV, the conversion time (without taking the auto-zero phase time into consideration) in millisecond is ______.

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

Solution:

*Answer can only contain numeric values
QUESTION: 60

In the circuit below, the op-amp is ideal and the sensor is an RTD whose resistance R0 = 1000 (1+ 0.004 θ) ?, where θ is temperature in oC. The output sensitivity in mV/oC is _____.

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

Solution:

*Answer can only contain numeric values
QUESTION: 61

The photo diode in the figure below has an active sensing area of 10 mm2 , a sensitivity of 0.5 A/W and a dark current of 1 μA. The i-to-v converter has a sensitivity of 100 mV/μA. For an input light intensity of 4 W/m2, the output VO in volt is _____.

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

Solution:

*Answer can only contain numeric values
QUESTION: 62

The velocity of flow of water (density 1000 kg/m3) in a horizontal pipe is measured using the PITOT tube shown below. The fluid in the U-tube manometer is mercury with a density of 13534 kg/m3. Assume g = 9.81 m/s2. If the height difference (h) is measured as 94.1 mm, the velocity of flow of water in m/s is _______.

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

Solution:

*Answer can only contain numeric values
QUESTION: 63

The band gap in eV of a semiconductor material required to construct an LED that emits peak power at the wavelength of 620 nm is _______.

(Plank constant h = 4. 13567 x10–15 eV s and speed of light c = 2.998 x 108 m/s).

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

Solution:

*Answer can only contain numeric values
QUESTION: 64

The signal  is frequency modulated (FM) with an FM modulator of frequency deviation constant of 30 kHz/V. Using Carson’s rule, the approximate bandwidth of the modulated
wave in kilohertz is ______.

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

Solution:

*Answer can only contain numeric values
QUESTION: 65

A signal m(t) varies from –3.5 V to +3.5 V with an average power of 3 W. The signal is quantized using a midtread type quantizer and subsequently binary encoded. With the codeword of length 3, the signal to quantization noise ratio in dB is ______.

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

Solution:

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