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

1

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

Mining Engineering (MN) 2015

A back sight on a bench mark of RL 100.00 m on the floor of a tunnel is 3.25 m. The inverse staff reading on a roof station of the tunnel is 1.25 m. The RL of the roof station in m is __________

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2

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

Mining Engineering (MN) 2015

The temperature of a parcel of air decreases from 30.2°C to 28.9°C as it rises from an altitude of 20 m to 120 m. The lapse rate for the atmosphere is

A

subadiabatic

B

adiabatic

C

superadiabatic

D

transadiabatic

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3

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

Mining Engineering (MN) 2015

In a BOD test, 5 ml of wastewater is diluted with pure water to fill a 300 ml BOD bottle. The initial and final dissolved oxygen contents of the mix are 9.0 mg/l and 7.0 mg/l respectively. The BOD of the wastewater, in mg/l, is

A

2

B

10

C

120

D

600

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4

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

Mining Engineering (MN) 2015

A gas mixture contains CH4, C2H6 and H2 with respective concentrations of 75%, 15% and 10% by volume. The lower explosibility limit of CH4, C2H6 and H2 are 5.0%, 3.3% and 4.2% respectively. The lower explosibility limit of the gas mixture, in percentage, is ______

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5

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

Mining Engineering (MN) 2015

Intake air containing 0.2% methane enters a section of an underground mine where emission rate of methane is 0.05 m³/s. Assuming that the threshold limit value of methane is 1.25%, the minimum quantity of fresh air required in m³/s is ______

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6

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

Mining Engineering (MN) 2015

In a 4.2 m wide and 3.0 m high gallery in a coal seam, twelve shot holes are blasted per round. The holes are charged with 2 explosive cartridges of 435 g each. If the powder factor of the blast is 2.2 tonne/kg and specific gravity of coal is 1.4, the pull per round of blast in m is

A

1.45

B

1.70

C

1.30

D

4.06

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7

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

Mining Engineering (MN) 2015

The stadia readings with horizontal sight on a vertical staff held at 50 m from a tacheometer are 1.285 m and 1.780 m. The focal length of the object glass is 25 cm, and the distance between the object glass and the vertical axis of the tacheometer is 15 cm. The stadia interval in mm is ______

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8

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

Mining Engineering (MN) 2015

Vertical photographs of an area lying 500 m above the mean sea level are to be taken at a scale of 1:20000 from an aircraft. If the camera has a focal length of 210 mm, the flying height of the aircraft above the mean sea level in m is ______

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9

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

Mining Engineering (MN) 2015

For the ventilation system shown, the combined resistance of the trunk airways and the shafts is 2.2 Ns²m^-8. The resistances of splits A and B are 0.5 Ns²m^-8 and 0.8 Ns²m^-8 respectively. A regulator of size 2.0 m² is placed in split A. Considering the fan generates a pressure of 1000 Pa, the air flow in m³/s in split B is ________

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10

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

Mining Engineering (MN) 2015

A mine air sample contains CH₄, CO, H₂, N₂ and O₂. The mine air analysis using Haldane apparatus gives the following results expressed in percentage of total sample volume.
Total contraction after combustion : 10.0
CO₂ formed after combustion : 6.0
O₂ consumed in combustion : 9.5
The percentage of CH₄ in the sample analysed is ________

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11

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

Mining Engineering (MN) 2015

The initial investment for a small scale mining project is Rs. 5.0 crore. Annual cash inflow for a life period of 4 years is given below.

Year	Cash inflow (Rs. crore)
1	1.5
2	2.0
3	2.0
4	1.5

The net present value of the project at an annual discount rate of 10% in Rs. crore is ________

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12

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

Mining Engineering (MN) 2015

Given the following linear programming problem,
Maximise \( z = 3x_1 + 4x_2 \)
Subject to
\( 2x_1 + x_2 \le 6 \)
\( 2x_1 + 3x_2 \le 9 \)
\( x_1 \ge 0, x_2 \ge 0 \)
the corner point feasible solution in terms of (x₁,x₂) is

A

(1.5, 0)

B

(1.25, 1.5)

C

(0.5, 1.0)

D

(2.25, 1.5)

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13

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

Mining Engineering (MN) 2015

Airborne PM₁₀ concentration in a residential area is monitored for 24 hours by a respirable dust sampler. Initial and final weights of the filter paper are 2.3125 g and 2.6996 g respectively. The average airflow rate during sampling is 1.2 m³/min. The PM₁₀ concentration of the area in μg m^-3 is ________

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14

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

Mining Engineering (MN) 2015

The assignment problem given requires four different jobs to be done on four different machines.

Job	Machine
	M1	M2	M3	M4
J1	27	35	36	30
J2	33	37	36	35
J3	30	26	28	24
J4	38	29	35	33

The minimum cost of assignment is __________

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15

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

Mining Engineering (MN) 2015

Copper ore of average grade 0.65% is mined, milled, smelted and then refined. The following information is available:
Mill recovery rate : 85%
Average grade in mill concentrate : 20%
Loss in smelting process : 5 kg/tonne of concentrate
Loss in refining process : 2 kg/tonne of blister copper
The amount of refined copper obtained per tonne of ore in kg is

A

5.10

B

5.37

C

5.52

D

6.50

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16

2016 · General Aptitude (GA) · General Aptitude · Numerical Computation and Estimation

Mining Engineering (MN) 2016

The binary operation □ is defined as \(a \square b = ab+(a+b)\), where \(a\) and \(b\) are any two real numbers. The value of the identity element of this operation, defined as the number \(x\) such that \(a \square x = a\), for any \(a\), is ______.

A

0

B

1

C

2

D

10

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17

2017 · General Aptitude (GA) · General Aptitude · Numerical Computation and Estimation

Mining Engineering (MN) 2017

The last digit of \((2171)^7 + (2172)^9 + (2173)^{11} + (2174)^{13}\) is

A

2

B

4

C

6

D

8

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18

2018 · General Aptitude (GA) · General Aptitude · Numerical Computation and Estimation

Mining Engineering (MN) 2018

What would be the smallest natural number which when divided either by 20 or by 42 or by 76 leaves a remainder of 7 in each case?

A

3047

B

6047

C

7987

D

63847

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19

2018 · General Aptitude (GA) · General Aptitude · Numerical Computation and Estimation

Mining Engineering (MN) 2018

In appreciation of the social improvements completed in a town, a wealthy philanthropist decided to gift Rs 750 to each male senior citizen in the town and Rs 1000 to each female senior citizen. Altogether, there were 300 senior citizens eligible for this gift. However, only 8/9^th of the eligible men and 2/3^rd of the eligible women claimed the gift. How much money (in Rupees) did the philanthropist give away in total?

A

1,50,000

B

2,00,000

C

1,75,000

D

1,51,000

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20

2019 · General Aptitude (GA) · General Aptitude · Numerical Computation and Estimation

Mining Engineering (MN) 2019

A worker noticed that the hour hand on the factory clock had moved by 225 degrees during her stay at the factory. For how long did she stay in the factory?

A

3.75 hours

B

4 hours and 15 mins

C

8.5 hours

D

7.5 hours

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