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GATE ME 2019: Topper's Mini Mock Quiz-2 (App update required to attempt this test)

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Question 1

For which integral value of ‘x ’will the given expression assume maximum value?

Question 2

3 squares are chosen at random from a standard chess board. What is the probability that 2 are of one colour and the remaining square is of a different colour?

Question 3

Raja bought 2 pens, 3 copies and 6 erasers for Rs. 116 whereas his friend Anna bought 8 pens, 12 copies and 22 erasers for Rs. 440. If they were to buy 8 pens, 12 copies and a single eraser, how much money (in Rs.) will they have to spend?

Question 4

The surface integral over the surface S of the sphere x2 + y2 + z2 = 9, where F=(x+y)i+(x+z)j+(y+z) k and n is the unit outward surface normal, yields ______.

Question 5

Let z be a complex variable. For a counter-clockwise integration around a unit circle C, centred at origin, the value of A is

Question 6

Raults law is not applicable to which of the following system

Question 7

Locomotive is pulling the wagons with a force F from the front to the right. The force F is transmitted to all the wagons and they move forward. If the wagons are to be pushed from behind, the force required will be

Question 8

The water flows through a 50 mm diameter pipe with a velocity of 1 m/s at 20. The viscosity of water at 20 is 0.001 kg/ms. The length of the pipe (in m) required for the establishment of fully developed flow is

Question 9

The overall heat transfer coefficient is 500. During the operation the tube surfaces get covered by soot, and the overall heat transfer coefficient is 250. Thus it leads to a factor having a value.

Question 10

In rolling operation, In rolling operation, diameter of roll is 400 mm, thickness of strip is 20 mm. Considering 20 % reduction, calculate rolling friction, μ

Question 11

In the following questions a sentence has been given in Active voice/Passive Voice. Out of the four alternatives suggested, select the one which best expresses the same sentence in Passive/Active Voice.
How much a month are you paid?

Question 12

If a : b : c = (y-z) : (z-x) : (x-y) then the value of ax + by + cz is

Question 13

Find the solution of which passes through the origin and the point (In2, 3/4).

Question 14

Consider the function f(x) = x2 – x - 2. The maximum value of f(x) in the closed interval [–4, 4] is:

Question 15

The inverse Laplace transform of Description: E:\Gate\SSC JE Mechanical Part 1\Made Easy Questions\05_Engg-Math_BLok_files\image064.pngis __________.

Question 16

A weight of 3000 N is supported by two chains AC and BC as shown. T1 and T2 are the tensions in each chain. The value of is?
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Question 17

A non-turbulent, perfect, compressible, and barotropic fluid undergoing steady motion is governed by the Bernoulli Equation. For a non-viscous, incompressible fluid in steady flow, the sum of pressure, potential and kinetic energies per unit volume is constant at any point. A special form of the Euler’s equation derived along a fluid flow streamline is often called the Bernoulli Equation.
Calculate the outlet velocity of the tank, if its height is 10m.

Question 18

A thermocouple, the junction of which can be approximated as 6mm diameter sphere is used to measure the temperature of a gas stream. The properties of the junction are c = 320 J/kg-K and k = 35 W/m-K. The heat transfer coefficient between the junction and gas is 210 W/m2-K. The time required for the thermocouple to read 90% of the initial temperature difference is ___________ s.

Question 19

The average service rate at a Service Centre is 8 customer/hr, which varies exponentially. Customers arrive at random order with an average of 6 customer/hr. The probability of at least 3 customers in the system is____

Question 20

A  Spur gear is powered by a motor which is running at a speed of 1200 rpm and power is 10 kW. If the diameter of the gear is 0.3 m and the pressure angle of the gear is 200, Assuming the law of gearing is satisfied find the radial force (in N) acting on the Spur gear______. 

Question 21

A solid cylinder of diameter 100 mm and height of 100 mm is forged between two frictionless flat dies to a height of 50 mm. The percentage change in diameter is

Question 22

A rod of length L, diameter d which is restrained to expand along its length is free to expand diametrically, is heated by a temperature difference T. if the coefficient of thermal expansion of the material is α and Poisson’s ratio is μ. The diameter after temperature change is

Question 23

The equation of motion for a spring-mass system excited by a harmonic force is Where M is the mass, K is the spring stiffness, F is the force amplitude and ω is the angular frequency of excitation. Resonance occurs when ɷ is equal to.

Question 24

A 1 ton refrigeration capacity water cooler cools water steadily from 35 °C to 20 °C. The specific heat of water is 4.18kJ/kg. What is water flow rate in litre/hr?

Question 25

The heat and work flow per degree change of temperature for a non-flow process are given:  =300 W-sec/ ºC and =180J/ ºCWhat will be internal energy change when system changes its temperature from 55 ºC to 90 ºC?
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