Elementary Statistics - Data Interpretation - General Aptitude (GA) Previous Year Questions

1

2014 · General Aptitude (GA) · Data Interpretation · Elementary Statistics

Electronics & Communication Engineering (EC) 2014 [Session 1]

The exports and imports (in crores of Rs.) of a country from 2000 to 2007 are given in the following bar chart. If the trade deficit is defined as excess of imports over exports, in which year is the trade deficit 1/5th of the exports?

A

2005

B

2004

C

2007

D

2006

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2

2014 · General Aptitude (GA) · Data Interpretation · Elementary Statistics

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

In the figure, ln (\(\rho_i\)) is plotted as a function of 1/T, where \(\rho_i\) is the intrinsic resistivity of silicon, T is the temperature, and the plot is almost linear. The slope of the line can be used to estimate

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3

2015 · General Aptitude (GA) · Data Interpretation · Elementary Statistics

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

Consider a straight, infinitely long, current carrying conductor lying on the z-axis. Which one of the following plots (in linear scale) qualitatively represents the dependence of \(H_{\phi}\) on r, where \(H_{\phi}\) is the magnitude of the azimuthal component of magnetic field outside the conductor and r is the radial distance from the conductor?

A

Graph A: Constant horizontal line

B

Graph B: Straight line decreasing

C

Graph C: Curve decreasing concave up

D

Graph D: Curve decreasing concave down

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4

2015 · General Aptitude (GA) · Data Interpretation · Elementary Statistics

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

Question Number: 64 Question Type : NAT

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5

2015 · General Aptitude (GA) · Data Interpretation · Elementary Statistics

Electronics & Communication Engineering (EC) 2015 [Session 2]

An electric bus has onboard instruments that report the total electricity consumed since the start of the trip as well as the total distance covered. During a single day of operation, the bus travels on stretches M, N, O, and P, in that order. The cumulative distances travelled and the corresponding electricity consumption are shown in the Table below.

Stretch	Cumulative distance (km)	Electricity used (kWh)
M	20	12
N	45	25
O	75	45
P	100	57

The stretch where the electricity consumption per km is minimum is

A

M

B

N

C

O

D

P

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6

2015 · General Aptitude (GA) · Data Interpretation · Elementary Statistics

Electronics & Communication Engineering (EC) 2015 [Session 2]

The voltage \((V_C)\) across the capacitor (in Volts) in the network shown is ______ .

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7

2015 · General Aptitude (GA) · Data Interpretation · Elementary Statistics

Electronics & Communication Engineering (EC) 2015 [Session 2]

A piece of silicon is doped uniformly with phosphorous with a doping concentration of \(10^{16} \text{cm}^{-3}\). The expected value of mobility versus doping concentration for silicon assuming full dopant ionization is shown below. The charge of an electron is \(1.6 \times 10^{-19} \text{C}\). The conductivity (in \(\text{S cm}^{-1}\)) of the silicon sample at 300 K is __________

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8

2015 · General Aptitude (GA) · Data Interpretation · Elementary Statistics

Electronics & Communication Engineering (EC) 2015 [Session 2]

The transfer function of a mass-spring-damper system is given by \[ G(s) = \frac{1}{Ms^2 + Bs + K} \] The frequency response data for the system are given in the following table.

ω in rad/s	|G(jω)| in dB	arg (G(jω)) in deg
0.01	-18.5	-0.2
0.1	-18.5	-1.3
0.2	-18.4	-2.6
1	-16	-16.9
2	-11.4	-89.4
3	-21.5	-151
5	-32.8	-167
10	-45.3	-174.5

The unit step response of the system approaches a steady state value of ______ .

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9

2015 · General Aptitude (GA) · Data Interpretation · Elementary Statistics

Electronics & Communication Engineering (EC) 2015 [Session 3]

Consider the Bode plot shown in the figure. Assume that all the poles and zeros are real-valued.

The value of \( f_H - f_L \) (in Hz) is ______________.

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10

2016 · General Aptitude (GA) · Data Interpretation · Elementary Statistics

Electronics & Communication Engineering (EC) 2016 [Session 3]

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)?

A

0

B

3

C

4

D

5

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11

2016 · General Aptitude (GA) · Data Interpretation · Elementary Statistics

Electronics & Communication Engineering (EC) 2016 [Session 3]

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

A

−0.030

B

−0.014

C

0.014

D

0.030

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12

2019 · General Aptitude (GA) · Data Interpretation · Elementary Statistics

Electronics & Communication Engineering (EC) 2019

The bar graph in Panel (a) shows the proportion of male and female illiterates in 2001 and 2011. The proportions of males and females in 2001 and 2011 are given in Panel (b) and (c), respectively. The total population did not change during this period. The percentage increase in the total number of literates from 2001 to 2011 is ________.

A

30.43

B

33.43

C

34.43

D

35.43

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13

2020 · General Aptitude (GA) · Data Interpretation · Elementary Statistics

Electronics & Communication Engineering (EC) 2020

The figure below shows a multiplexer where \(S_1\) and \(S_0\) are the select lines, \(I_0\) to \(I_3\) are the input data lines, EN is the enable line, and \(F (P, Q, R)\) is the output. \(F\) is

A

\(PQ + \bar{Q}R\)

B

\(P + Q\bar{R}\)

C

\(P\bar{Q}R + \bar{P}Q\)

D

\(\bar{Q} + PR\)

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14

2021 · General Aptitude (GA) · Data Interpretation · Elementary Statistics

Electronics & Communication Engineering (EC) 2021

The number of minutes spent by two students, X and Y, exercising every day in a given week are shown in the bar chart above.
The number of days in the given week in which one of the students spent a minimum of 10% more than the other student, on a given day, is

A

4

B

5

C

6

D

7

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15

2024 · General Aptitude (GA) · Data Interpretation · Elementary Statistics

Electronics & Communication Engineering (EC) 2024

The bar chart shows the data for the percentage of population falling into different categories based on Body Mass Index (BMI) in 2003 and 2023.
Based on the data provided, which one of the following options is INCORRECT?

A

The ratio of the percentage of population falling into overweight category to the percentage of population falling into normal category has increased in 20 years.

B

The ratio of the percentage of population falling into underweight category to the percentage of population falling into normal category has decreased in 20 years.

C

The ratio of the percentage of population falling into obese category to the percentage of population falling into normal category has decreased in 20 years.

D

The percentage of population falling into normal category has decreased in 20 years.

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16

2025 · General Aptitude (GA) · Data Interpretation · Elementary Statistics

Electronics & Communication Engineering (EC) 2025

The table lists the top 5 nations according to the number of gold medals won in a tournament; also included are the number of silver and the bronze medals won by them. Based only on the data provided in the table, which one of the following statements is INCORRECT?

A

France will occupy the third place if the list were made on the basis of the total number of medals won.

B

The order of the top two nations will not change even if the list is made on the basis of the total number of medals won.

C

USA and Canada together have less than 50% of the medals awarded to the nations in the above table.

D

Canada has won twice as many total medals as Japan.

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