Numerical Computation and Estimation - General Aptitude - General Aptitude (GA) Previous Year Questions

1

2014 · General Aptitude (GA) · General Aptitude · Numerical Computation and Estimation

Electrical Engineering (EE) 2014 [Session 2]

What is the average of all multiples of 10 from 2 to 198?

A

90

B

100

C

110

D

120

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2

2014 · General Aptitude (GA) · General Aptitude · Numerical Computation and Estimation

Electrical Engineering (EE) 2014 [Session 2]

The value of \( \sqrt{12 + \sqrt{12 + \sqrt{12 + \cdots}} \) is

A

3.464

B

3.932

C

4.000

D

4.444

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3

2014 · General Aptitude (GA) · General Aptitude · Numerical Computation and Estimation

Electrical Engineering (EE) 2014 [Session 2]

At what time between 6 a.m. and 7 a.m. will the minute hand and hour hand of a clock make an angle closest to 60°?

A

6: 22 a.m.

B

6: 27 a.m.

C

6: 38 a.m.

D

6: 45 a.m.

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4

2014 · General Aptitude (GA) · General Aptitude · Numerical Computation and Estimation

Electrical Engineering (EE) 2014 [Session 3]

Consider the equation: (7526)₈ - (Y)₈ = (4364)₈ , where (X)_N stands for X to the base N. Find Y.

A

1634

B

1737

C

3142

D

3162

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5

2015 · General Aptitude (GA) · General Aptitude · Numerical Computation and Estimation

Electrical Engineering (EE) 2015 [Session 1]

Based on the given statements, select the most appropriate option to solve the given question.
If two floors in a certain building are 9 feet apart, how many steps are there in a set of stairs that extends from the first floor to the second floor of the building?

Statements:
(I) Each step is 3/4 foot high.
(II) Each step is 1 foot wide.

A

Statement I alone is sufficient, but statement II alone is not sufficient.

B

Statement II alone is sufficient, but statement I alone is not sufficient.

C

Both statements together are sufficient, but neither statement alone is sufficient.

D

Statement I and II together are not sufficient.

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6

2015 · General Aptitude (GA) · General Aptitude · Numerical Computation and Estimation

Electrical Engineering (EE) 2015 [Session 1]

When the Wheatstone bridge shown in the figure is used to find the value of resistor \( R_x \), the galvanometer G indicates zero current when \( R_1 = 50 \Omega \), \( R_2 = 65 \Omega \) and \( R_3 = 100 \Omega \). If \( R_3 \) is known with \( \pm 5\% \) tolerance on its nominal value of \( 100 \Omega \), what is the range of \( R_x \) in Ohms?

A

[123.50,136.50]

B

[125.89,134.12]

C

[117.00,143.00]

D

[120.25,139.75]

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7

2015 · General Aptitude (GA) · General Aptitude · Numerical Computation and Estimation

Electrical Engineering (EE) 2015 [Session 1]

A (0-50 A) moving coil ammeter has a voltage drop of 0.1 V across its terminals at full scale deflection. The external shunt resistance (in milliohms) needed to extend its range to (0 – 500 A) is __________.

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8

2015 · General Aptitude (GA) · General Aptitude · Numerical Computation and Estimation

Electrical Engineering (EE) 2015 [Session 1]

In the following chopper, the duty ratio of switch S is 0.4. If the inductor and capacitor are sufficiently large to ensure continuous inductor current and ripple free capacitor voltage, the charging current (in Ampere) of the 5 V battery, under steady-state, is ______.

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9

2015 · General Aptitude (GA) · General Aptitude · Numerical Computation and Estimation

Electrical Engineering (EE) 2015 [Session 1]

A moving average function is given by \( y(t) = \frac{1}{T} \int_{t-T}^{t} u(\tau)d\tau \). If the input \( u \) is a sinusoidal signal of frequency \( \frac{1}{2T} \) Hz, then in steady state, the output \( y \) will lag \( u \) (in degree) by ______.

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10

2015 · General Aptitude (GA) · General Aptitude · Numerical Computation and Estimation

Electrical Engineering (EE) 2015 [Session 1]

The impulse response g(t) of a system, G, is as shown in Figure (a). What is the maximum value attained by the impulse response of two cascaded blocks of G as shown in Figure (b)?

A

\(\frac{2}{3} \)

B

\(\frac{3}{4} \)

C

\(\frac{4}{5} \)

D

1

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11

2015 · General Aptitude (GA) · General Aptitude · Numerical Computation and Estimation

Electrical Engineering (EE) 2015 [Session 1]

Consider a one-turn rectangular loop of wire placed in a uniform magnetic field as shown in the figure. The plane of the loop is perpendicular to the field lines. The resistance of the loop is 0.4\( \Omega \), and its inductance is negligible. The magnetic flux density (in Tesla) is a function of time, and is given by \( B(t) = 0.25 \sin \omega t \), where \( \omega = 2\pi \times 50 \) radian/second. The power absorbed (in Watt) by the loop from the magnetic field is ______.

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12

2015 · General Aptitude (GA) · General Aptitude · Numerical Computation and Estimation

Electrical Engineering (EE) 2015 [Session 1]

Consider the circuit shown in the figure. In this circuit \(R=1\ k\Omega\), and \(C=1\ \mu F\). The input voltage is sinusoidal with a frequency of 50 Hz, represented as a phasor with magnitude \(V_i\) and phase angle 0 radian as shown in the figure. The output voltage is represented as a phasor with magnitude \(V_o\) and phase angle \(\delta\) radian. What is the value of the output phase angle \(\delta\) (in radian) relative to the phase angle of the input voltage?

A

0

B

\(\pi\)

C

\(\pi/2\)

D

\(-\pi/2\)

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13

2015 · General Aptitude (GA) · General Aptitude · Numerical Computation and Estimation

Electrical Engineering (EE) 2015 [Session 1]

In the given circuit, the silicon transistor has \(\beta = 75\) and a collector voltage \(V_C = 9\ V\). Then the ratio of \(R_B\) and \(R_C\) is ______.

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14

2015 · General Aptitude (GA) · General Aptitude · Numerical Computation and Estimation

Electrical Engineering (EE) 2015 [Session 1]

The voltages developed across the \(3\ \Omega\) and \(2\ \Omega\) resistors shown in the figure are \(6\text{ V}\) and \(2\text{ V}\) respectively, with the polarity as marked. What is the power (in Watt) delivered by the \(5\text{ V}\) voltage source?

A

5

B

7

C

10

D

14

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15

2015 · General Aptitude (GA) · General Aptitude · Numerical Computation and Estimation

Electrical Engineering (EE) 2015 [Session 1]

For the given circuit, the Thevenin equivalent is to be determined. The Thevenin voltage, \(V_{Th}\) (in Volt), seen from terminal AB is __________

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16

2015 · General Aptitude (GA) · General Aptitude · Numerical Computation and Estimation

Electrical Engineering (EE) 2015 [Session 1]

A separately excited DC generator has an armature resistance of 0.1Ω and negligible armature inductance. At rated field current and rated rotor speed, its open-circuit voltage is 200 V. When this generator is operated at half the rated speed, with half the rated field current, an uncharged 1000 μF capacitor is suddenly connected across the armature terminals. Assume that the speed remains unchanged during the transient. At what time (in microsecond) after the capacitor is connected will the voltage across it reach 25 V?

A

62.25

B

69.3

C

73.25

D

77.3

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17

2015 · General Aptitude (GA) · General Aptitude · Numerical Computation and Estimation

Electrical Engineering (EE) 2015 [Session 1]

The self inductance of the primary winding of a single phase, 50 Hz, transformer is 800 mH, and that of the secondary winding is 600 mH. The mutual inductance between these two windings is 480 mH. The secondary winding of this transformer is short circuited and the primary winding is connected to a 50 Hz, single phase, sinusoidal voltage source. The current flowing in both the windings is less than their respective rated currents. The resistance of both windings can be neglected. In this condition, what is the effective inductance (in mH) seen by the source?

A

416

B

440

C

200

D

920

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18

2015 · General Aptitude (GA) · General Aptitude · Numerical Computation and Estimation

Electrical Engineering (EE) 2015 [Session 1]

For the signal-flow graph shown in the figure, which one of the following expressions is equal to the transfer function \(\frac{Y(s)}{X_2(s)} \Big|_{X_1(s)=0}\) ?

A

\(\frac{G_1}{1+G_1(1+G_1)}\)

B

\(\frac{G_2}{1+G_1(1+G_2)}\)

C

\(\frac{G_1}{1+G_1G_2}\)

D

\(\frac{G_2}{1+G_1G_2}\)

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19

2015 · General Aptitude (GA) · General Aptitude · Numerical Computation and Estimation

Electrical Engineering (EE) 2015 [Session 1]

An unbalanced DC Wheatstone bridge is shown in the figure. At what value of \(p\) will the magnitude of \(V_0\) be maximum?

A

\(\sqrt{(1+x)}\)

B

\((1+x)\)

C

\(1/\sqrt{(1+x)}\)

D

\(\sqrt{(1-x)}\)

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20

2015 · General Aptitude (GA) · General Aptitude · Numerical Computation and Estimation

Electrical Engineering (EE) 2015 [Session 1]

The circuit shown is meant to supply a resistive load $R_L$ from two separate DC voltage sources. The switches S1 and S2 are controlled so that only one of them is ON at any instant. S1 is turned on for 0.2 ms and S2 is turned on for 0.3 ms in a 0.5 ms switching cycle time period. Assuming continuous conduction of the inductor current and negligible ripple on the capacitor voltage, the output voltage $V_O$ (in Volt) across $R_L$ is __________.

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