GATE 2021 ME : Toppers Quiz 28 (App update required to attempt this test) for ESE & GATE ME Exams

Question 1

In the assembly of pulley, key and shaft:

Question 2

Which of the following correctly states how the viscosities of a liquid and a gas will change with temperature?

Question 3

Cavitation is caused by______.

Question 4

What shall be the centre distance between the axes of pinion and gear when a 20 ° full-depth involute profile pinion with 20 teeth meshes with a gear that has 50 teeth for a module of 6 mm?

Question 5

Four stroke engines should develop ____________ power as that of a two-stroke cycle engine.

Question 6

The lead time in material requirements planning is the time between

Question 7

For measuring the temperature by using single reference point after 1954, the temperature taken for reference was

Question 8

The usual method of defining machinability of a material is by an index based on

Question 9

In what form are the boiler’s tube arrange in Lamont boiler?

Question 10

According to which theorem when a number of loads rest upon a beam, the deflection at any point is equal to the sum of the deflections at this point due to each of the loads taken separately?

Question 11

When a dolphin glides through air, it experiences an external pressure of 0.75 m of mercury. The absolute pressure on dolpin when it is 5 m below the free surface of the water is

Question 12

A simple mechanism with all link constrained to move in one direction only has 5 links, another mechanism with similar configuration has 6 links. What is the ratio of number of instantaneous centre of the two mechanisms?

Question 13

The solidification time of a casting is proportional to

, where V is the volume of the casting and A is the total casting surface area losing heat. Two cubes of same material and size are cast using sand casting process. The top face of one of the cubes is completely insulated. The ratio of the solidification time for the cube with top face insulated to that of the other cube is

Question 14

Temperature distribution in a slab is given as

Thermal diffusivity of the material is give as . Calculate the rate of change of temperature of the slab at x=1 m in ℃/hr.

Question 15

The demand and forecast for February are 12000 and 10275, respectively. Using single exponential smoothening method (smoothening coefficient = 0.25), forecast for the month of March is

Question 16

Market demand for springs is 8,00,000 per annum. A company purchases these springs in lots and sells them. The cost of making a purchase order is Rs.1,200. The cost of storage of springs is Rs. 120 per stored piece per annum. The economic order quantity is

Question 17

The ratio of the natural frequencies of system A to B is_____________.
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Question 18

A resistance-capacitance relaxation circuit is used in an electrical discharge machining process. The discharge voltage is 100 V. At a spark cycle time of 25 µs, the average Power input required is 1 kW. The capacitance (in µF) in the circuit is

Question 19

liquid ‘A’ of specific gravity 0.9 and dynamic viscosity 0.07 Ns/m² is flowing through pipe of diameter 25 cm with average velocity 0.2 m/s. liquid ‘B’ of specific gravity 1 having dynamic viscosity 0.09 Ns/m² is flowing through a pipe of diameter 50 cm with average velocity of 0.9 m/s. Find ratio of friction factor of pipe A to friction coefficient of B.

Question 20

A suspended body Is to be struck heavily without producing any reaction at the support. It should be done at:

Question 21

A slider crank mechanism with crank radius 200 mm and connecting rod length 800 mm is shown. The crank is rotating at 600 rpm in the counter clockwise direction. In the configuration shown, the crank makes an angle of 90 ° with the sliding direction of the slider, and a force of 5 kN is acting on the slider. Neglecting the inertia forces, the turning moment on the crank (in kN-m) is __________.

Question 22

A block weighing 200 N is in contact with a level plane whose coefficients of static and kinetic friction are 0.4 and 0.2, respectively. The block is acted upon by a horizontal force (in newton) P=10t, where t denotes the time in seconds. The velocity (in m/s) of the block attained after 10 seconds is_____

Question 23

A circular rod 50 mm in diameter and 200 mm long is welded to a plate by fillet welding all around the circumference as shown in figure. The size of the weld is 15mm. The section modulus of the weld is 22000 mm³. Determine the resultant stress in the weld.
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Question 24

A solid circular shaft of diameter 100 mm is subjected to an axial stress of 50 MPa. It is further subjected to a torque of 10 kNm. The maximum principal stress experienced on the shaft is closest to

Question 25

A steel casting is at a temperature of 1000°C and cools uniformly to a temperature of 100°C , when kept in a surroundings of 20

. For the limiting case of lumped parameter analysis, the value of the Fourier’s number is ________