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

1

2012 · General Aptitude (GA) · General Aptitude · Elementary Statistics

Mechanical Engineering (ME) 2012

For an opaque surface, the absorptivity (\(\alpha\)), transmissivity (\(\tau\)) and reflectivity (\(\rho\)) are related by the equation:

A

\(\alpha + \rho = \tau\)

B

\(\rho + \alpha + \tau = 0\)

C

\(\alpha + \rho = 1\)

D

\(\alpha + \rho = 0\)

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2

2012 · General Aptitude (GA) · General Aptitude · Elementary Statistics

Mechanical Engineering (ME) 2012

An ideal gas of mass \(m\) and temperature \(T_1\) undergoes a reversible isothermal process from an initial pressure \(P_1\) to final pressure \(P_2\). The heat loss during the process is \(Q\). The entropy change \(\Delta S\) of the gas is

A

\(mR \ln\left(\frac{P_1}{P_2}\right)\)

B

\(mR \ln\left(\frac{P_2}{P_1}\right)\)

C

\(mR \ln\left(\frac{P_2}{P_1}\right) - \frac{Q}{T_1}\)

D

zero

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3

2012 · General Aptitude (GA) · General Aptitude · Elementary Statistics

Mechanical Engineering (ME) 2012

A room contains 35 kg of dry air and 0.5 kg of water vapor. The total pressure and temperature of air in the room are 100 kPa and 25°C respectively. Given that the saturation pressure for water at 25°C is 3.17 kPa, the relative humidity of the air in the room is

A

67%

B

55%

C

83%

D

71%

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4

2012 · General Aptitude (GA) · General Aptitude · Elementary Statistics

Mechanical Engineering (ME) 2012

The state of stress at a point under plane stress condition is σ_xx = 40 MPa, σ_yy = 100 MPa and τ_xy = 40 MPa.
The radius of the Mohr’s circle representing the given state of stress in MPa is

A

40

B

50

C

60

D

100

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5

2012 · General Aptitude (GA) · General Aptitude · Elementary Statistics

Mechanical Engineering (ME) 2012

Which of the following assertions are CORRECT?\nP: Adding 7 to each entry in a list adds 7 to the mean of the list\nQ: Adding 7 to each entry in a list adds 7 to the standard deviation of the list\nR: Doubling each entry in a list doubles the mean of the list\nS: Doubling each entry in a list leaves the standard deviation of the list unchanged

A

P, Q

B

Q, R

C

P, R

D

R, S

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6

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

Mechanical Engineering (ME) 2015 [Session 1]

For an ideal gas with constant values of specific heats, for calculation of the specific enthalpy,

A

it is sufficient to know only the temperature

B

both temperature and pressure are required to be known

C

both temperature and volume are required to be known

D

both temperature and mass are required to be known

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7

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

Mechanical Engineering (ME) 2015 [Session 1]

Which one of the following is the most conservative fatigue failure criterion?

A

Soderberg

B

Modified Goodman

C

ASME Elliptic

D

Gerber

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8

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

Mechanical Engineering (ME) 2015 [Session 2]

Within a boundary layer for a steady incompressible flow, the Bernoulli equation

A

holds because the flow is steady

B

holds because the flow is incompressible

C

holds because the flow is transitional

D

does not hold because the flow is frictional

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9

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

Mechanical Engineering (ME) 2015 [Session 2]

The atomic packing factor for a material with body centered cubic structure is __________

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10

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

Mechanical Engineering (ME) 2015 [Session 2]

In a plane stress condition, the components of stress at a point are \(\sigma_x = 20\) MPa, \(\sigma_y = 80\) MPa and \(\tau_{xy} = 40\) MPa. The maximum shear stress (in MPa) at the point is

A

20

B

25

C

50

D

100

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11

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

Mechanical Engineering (ME) 2015 [Session 2]

One kg of air (\(R = 287\ J/kg·K\)) undergoes an irreversible process between equilibrium state 1 (20 °C, 0.9 m³) and equilibrium state 2 (20 °C, 0.6 m³). The change in entropy \(s_2 - s_1\) (in J/kg·K) is ______

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12

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

Mechanical Engineering (ME) 2015 [Session 3]

The strain hardening exponent n of stainless steel SS 304 with distinct yield and UTS values undergoing plastic deformation is

A

n < 0

B

n = 0

C

0 < n < 1

D

n = 1

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13

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

Mechanical Engineering (ME) 2015 [Session 3]

Air in a room is at 35°C and 60% relative humidity (RH). The pressure in the room is 0.1 MPa. The saturation pressure of water at 35°C is 5.63 kPa. The humidity ratio of the air (in gram/kg of dry air) is ______

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14

2026 · General Aptitude (GA) · General Aptitude · Elementary Statistics

Mechanical Engineering (ME) 2026

Consider the following statements about four numbers:
(S1) The average of the four numbers is 25
(S2) Each number is at most 40
(S3) Each number is at least 20
Choose the option that is necessarily correct.

A

(S1) and (S2) together imply (S3)

B

(S2) and (S3) together imply (S1)

C

(S1) and (S3) together imply (S2)

D

(S1) implies (S3)

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