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G-19 Full length Quiz-1 (App update required to attempt this test)

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Question 1

Denoting

as liquid and

as solid in a phase-diagram with the subscripts representing different phases, a eutectoid reaction is described by

Question 2

Four red balls, four green balls and four blue balls are put in a box. Three balls are pulled out of the box at random one after another without replacement. The probability that all the three balls are red is

Question 3

For the block shown in the figure below, find the minimum value of ‘P’ which will just disturb the equilibrium of the system. (Given Coefficient of friction = 0.5)

Question 4

A liquid fluid flowing through a closed space has bulk modulus K. The pressure developed by the fluid is P, then as with the change in temperature.

Question 5

Find the missing group of letters in the following series:
BC, FGH, LMNO, _________

Question 6

A plane slab of thickness L and thermal conductivity k is heated with a fluid on one side

and the other side

is maintained at a constant temperature, T_Q of 25^°C, as shown in the figure. The fluid is at 45^°C and the surface heat transfer coefficient, h, is

The steady state temperature. T_P (in ^°C) of the side which is exposed to the fluid is _________ (correct to two decimal places).

Question 7

The forecast in the month of March is 160. The demand and forecast in the month of February were 200 and 100 respectively. What is the smoothing constant? Use 1^st order exponential smoothing.

Question 8

The number of bolts n is often given by the following empirical relation in the universal joints or hooks joints-

Question 9

A casting undergoes a volumetric solidification shrinkage of 5%. The side of a cubical casting is 6 cm. What will be the volume left after solidification shrinkage.

Question 10

A thermal energy reservoir of 1200 K, can supply heat at a rate of 120000 kJ/h. If environment temperature is 27 °C, then the exergy (in kW) of this supplied energy is

Question 11

A piston-cylinder device initially contains 0.4 m³ of air (to be treated as an ideal gas) at 100 kPa and 80^oC. The air is now isothermally compressed to 0.1 m³. The work done during this process is kJ.
(Take the sign convention such that work done on the system is negative)

Question 12

A precision instrument package (m = 1 kg) needs to be mounted on a surface vibrating at 60 Hz. It is desired that only 5% of the base surface vibration amplitude be transmitted to the instrument. Assume that the isolation is designed with its natural frequency sig lesser than 60 Hz, so that the effect of damping may be ignored. The stiffness (in N/m) of the required mounting pad is

Question 13

A load of 5 kN is suddenly applied on a steel bar. The diameter of the steel bar, if the stress is not to exceed 100 MPa

Question 14

An instantaneous configuration of a four-bar mechanism, whose plane is horizontal, is shown in the figure below. At this instant, the angular velocity and angular acceleration of link O₂A are ω = 8rad/s and α = 0, respectively, and the driving torque (τ) is zero. The link O₂A is balanced so that its center of mass falls at O₂.
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Which kind of 4-bar mechanism is O₂ABO₄?

Question 15

Four jobs 1, 2, 3,... 4 are to be processed on a single machine. The processing times, due dates are represented in table. The ratio of mean flow time for shortest processing time rule to earliest due date rule is ______.

Question 16

A product made in two factories P and Q, is transport to two destinations, R and S. The per unit costs of transportation (in Rupees) from factories to destinations are as per the following matrix:

Factory P produces 7 units and factory Q produces 9 units of the product. Each destination required 8 units. If the north-west corner method provides the total transportation cost as X (in Rupees) and the optimized (the minimum) total transportation cost Y (in Rupees), then (X-Y), in Rupees, is

Question 17

Two streams of fluids of unit constant specific heat and unit mass flow rate exchange thermal energy in a heat exchanger. The inlet temperature of hot and coldfluid streams are 300 ⁰C and 30 ⁰C respectively. The effectiveness of the heat exchanger if the outlet temperature of both the fluid are equal

Question 18

In the following question, a part of the sentence is underlined. Below are given alternatives to the Bold part at (1), (2) and (3) which may improve the sentence. Choose the correct alternative. In case no improvement is needed your answer is (4).
Who will provide relief to the poor in this country?

Question 19

A tank consists of liquids A, B and C of specific gravity 0.879, 0.998 and 13.55 respectively. Initially the tank is closed and the configuration is as shown. If an opening is made at the top of the tank, then equilibrium level of mercury in the manometer will be _______m.
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Question 20

Match the following pairs:

Question 21

A system of particles in motion has mass center G as shown in the figure. The particle i has mass mi and its position with respect to a fixed point O is given by the position vector r_i. The position of the particle with respect to G is given by the vector

. The time rate of change of the angular momentum of the system of particles about G is
(The quantity

indicates second derivative of

with respect to time and likewise for r_i ).

Question 22

Consider the following function. f(x)=x³-6x² + 11x - 4
Find x₂ using Newton-Raphson method with an initial guess of x₀= 0.3. (Round the answer upto two decimal places).

Question 23

A pelton wheel is rotating at a speed of 200 rpm and developed 5200 kW when working under a head of 250m with an overall efficiency of 82%. The discharge when the turbine is working under a head of 150 m will be ___________ m³/s.

Question 24

For an inline slider-crank mechanism, the lengths of the crank and connecting rod are 3m and 4m, respectively. At the instant when the connecting rod is perpendicular to the crank, if the velocity of the slider is 1m/s, the magnitude of angular velocity (upto 3 decimal points accuracy) of the crank is _________ radian/s.

Question 25

A project consists of 7 jobs. Jobs A and F can be started and completed independently. Jobs B and C can start only after job A has been completed. Jobs D, E and G can start only after jobs B, (C and D) and (E and F) are completed, respectively. Time estimates of all the jobs are given in the following table:

The expected completion time of the project is.

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