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

1

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

Electronics & Communication Engineering (EC) 2014 [Session 4]

Let \( f(x, y) = x^n y^m = P \). If \( x \) is doubled and \( y \) is halved, the new value of \( f \) is

A

\(2^{n-m} P \)

B

\(2^{m-n} P \)

C

\(2(n - m)P \)

D

\(2(m - n)P \)

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2

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

Electronics & Communication Engineering (EC) 2014 [Session 4]

In a sequence of 12 consecutive odd numbers, the sum of the first 5 numbers is 425. What is the sum of the last 5 numbers in the sequence?

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3

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

Electronics & Communication Engineering (EC) 2015 [Session 1]

Operators □, ◇ and → are defined by: \( a \square b = \frac{a-b}{a+b} \; , \; a \diamond b = \frac{a+b}{a-b} \; , \; a \rightarrow b = ab \).
Find the value of \( (66 \square 6) \rightarrow (66 \diamond 6) \).

A

−2

B

−1

C

1

D

2

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4

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

Electronics & Communication Engineering (EC) 2015 [Session 1]

In the circuit shown, at resonance, the amplitude of the sinusoidal voltage (in Volts) across the capacitor is __________.

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5

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

Electronics & Communication Engineering (EC) 2015 [Session 1]

In the network shown in the figure, all resistors are identical with R = 300 Ω. The resistance R_ab (in Ω) of the network is __________.

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6

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

Electronics & Communication Engineering (EC) 2015 [Session 1]

In the given circuit, the values of \( V_1 \) and \( V_2 \) respectively are

A

5 V, 25 V

B

10 V, 30 V

C

15 V, 35 V

D

0 V, 20 V

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7

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

Electronics & Communication Engineering (EC) 2015 [Session 1]

A silicon sample is uniformly doped with donor type impurities with a concentration of \( 10^{16} / cm^3 \). The electron and hole mobilities in the sample are \( 1200 \ cm^2/V-s \) and \( 400 \ cm^2/V-s \) respectively. Assume complete ionization of impurities. The charge of an electron is \( 1.6 \times 10^{-19} C \). The resistivity of the sample (in Ω-cm) is __________.

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8

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

Electronics & Communication Engineering (EC) 2015 [Session 1]

In the circuit shown below, the Zener diode is ideal and the Zener voltage is 6 V. The output voltage V_o (in volts) is ______.

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9

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

Electronics & Communication Engineering (EC) 2015 [Session 1]

In the circuit shown, the switch SW is thrown from position A to position B at time t = 0. The energy (in µJ) taken from the 3 V source to charge the 0.1 µF capacitor from 0 V to 3 V is

A

0.3

B

0.45

C

0.9

D

3

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10

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

Electronics & Communication Engineering (EC) 2015 [Session 1]

In an 8085 microprocessor, the shift registers which store the result of an addition and the overflow bit are, respectively

A

B and F

B

A and F

C

H and F

D

A and C

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11

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

Electronics & Communication Engineering (EC) 2015 [Session 1]

A 16 Kb (=16,384 bit) memory array is designed as a square with an aspect ratio of one (number of rows is equal to the number of columns). The minimum number of address lines needed for the row decoder is ______.

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12

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

Electronics & Communication Engineering (EC) 2015 [Session 1]

Consider a four bit D to A converter. The analog value corresponding to digital signals of values 0000 and 0001 are 0 V and 0.0625 V respectively. The analog value (in Volts) corresponding to the digital signal 1111 is ______.

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13

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

Electronics & Communication Engineering (EC) 2015 [Session 1]

The result of the convolution \( x(-t) * \delta(-t - t_0) \) is

A

\(x(t + t_0) \)

B

\(x(t - t_0) \)

C

\(x(-t + t_0) \)

D

\(x(-t - t_0) \)

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14

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

Electronics & Communication Engineering (EC) 2015 [Session 1]

A unity negative feedback system has the open-loop transfer function \( G(s) = \frac{K}{s(s+1)(s+3)} \). The value of the gain \( K \) (>0) at which the root locus crosses the imaginary axis is ________.

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15

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

Electronics & Communication Engineering (EC) 2015 [Session 1]

A sinusoidal signal of 2 kHz frequency is applied to a delta modulator. The sampling rate and step-size \( \Delta \) of the delta modulator are 20,000 samples per second and 0.1 V, respectively. To prevent slope overload, the maximum amplitude of the sinusoidal signal (in Volts) is

A

\(\frac{1}{2\pi} \)

B

\(\frac{1}{\pi} \)

C

\(\frac{2}{\pi} \)

D

\(\pi \)

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16

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

Electronics & Communication Engineering (EC) 2015 [Session 1]

The electric field component of a plane wave traveling in a lossless dielectric medium is given by \(\vec{E}(z,t) = \hat{a}_y 2\cos\left(10^8 t - \frac{z}{\sqrt{2}}\right)\) V/m. The wavelength (in m) for the wave is _____________.

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17

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

Electronics & Communication Engineering (EC) 2015 [Session 1]

The damping ratio of a series \( RLC \) circuit can be expressed as

A

\(\frac{R^2 C}{2L} \)

B

\(\frac{2L}{R^2 C} \)

C

\(\frac{R}{2} \sqrt{\frac{C}{L}} \)

D

\(\frac{2}{R} \sqrt{\frac{L}{C}} \)

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18

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

Electronics & Communication Engineering (EC) 2015 [Session 1]

In the circuit shown, switch SW is closed at \( t = 0 \). Assuming zero initial conditions, the value of \( v_c(t) \) (in Volts) at \( t = 1 \) sec is __________

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19

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

Electronics & Communication Engineering (EC) 2015 [Session 1]

In the given circuit, the maximum power (in Watts) that can be transferred to the load \( R_L \) is __________

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20

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

Electronics & Communication Engineering (EC) 2015 [Session 1]

The built-in potential of an abrupt p-n junction is 0.75 V. If its junction capacitance \( C_j \) at a reverse bias \( V_R \) of 1.25 V is 5 pF, the value of \( C_j \) (in pF) when \( V_R = 7.25 \) V is __________

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