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GATE ME 2019: Topper's Mini Mock Quiz-3

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Question 1

Given that N is a 4 digit positive integer and we plan to plant exactly N trees in a memorial park. How many distinct values of N are possible such that each row of trees planted has as many trees as the number of columns?

Question 2

In the following question, a sentence is given with a blank to be filled in with an appropriate word. Select the correct alternative out of the four and indicate it by selecting the appropriate option.
There are some people who doubt the ____ of anything they see in a newspaper.

Question 3

In a certain code ARCHIVE is written as DSBGFWJ. How is SYSTEMS written in that code?

Question 4

The divergence of the vector −yi+xj______

Question 5

For a position vector the norm of the vector can be defined as Given a function its gradient is

Question 6

Which of the following crystal systems does not have unequal axial relationships?

Question 7

An orifice meter having an orifice diameter 0.1 m is fitted in a horizontal pipe of 0.2 m diameter. The pressure gauges read 196.2kN/m2 upstream and 98.1kN/m2 downstream of orifice meter. If the discharge through the pipe is 73.8×10-3m3/ sec of water, the coefficient of discharge is

Question 8

The kinematic viscosity of a fluid flowing past a flat plate is 10-3m2/s. If the Prandtl number is 0.71, then the value of the thermal conductivity of the fluid.The fluid properties at 25°C is Cp= 1.2 kJ/kgK, ρ= 1.25kg/m3

Question 9

The path of contact for a spur gear in arrangement with pinion is 19 mm and the pressure angle of the gear is 20. The module of the gear is 5 mm and the power transmitted by the gear is 5 kW. Find the contact ratio of the gear pair

Question 10

Cylindrical holes of mm diameter are electroplated in a shop. If the plating thickness varies between 10 – 15 microns, then the upper limit (in mm) of diameter of the hole before plating should be____.

Question 11

Given the sequence of terms: AD, CG, FK, JP, ___. Find the missing term in the sequence.

Question 12

IF (z + 1/z)2 = 98, compute (z2 + 1/z2)

Question 13

The velocity vector is given as . The divergence of this velocity vector at (1,1,1)

Question 14

The complete solution for the ordinary differential equation Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE ME 18-Mar\GATE-ME-2005_files\image259.pngis Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE ME 18-Mar\GATE-ME-2005_files\image260.png

Then, p and q are

Question 15

The distance between the origin and the point nearest to it on the surface z2 = 1 + xy is

Question 16

Match the following

Question 17

Find the value of tension acting on the cable as shown in the fig. coefficient of friction for all the cases is 0.2. Weight of block A and block B is 4 kN and 6 kN.

Question 18

A spherical body of diameter 750mm of initial temperature 25 is immersed in the fluid at temperature 400. Thermo physical properties of the body are k=22W/m-K, c=400 J/kg and ρ=9000kg/m3 (Regular notations used). Determine the time (in seconds) when the temperature will become 390, given the convective heat transfer coefficient between body and fluid is 300W/m2-k.

Question 19

Steady in-compressible developing flow through a smooth circular pipe of diameter H is showing in the figure. Water is entering with a velocity V0. A boundary layer is keep on forming along the pipe wall. The velocity profile at section A-A is given as
u= Vm(y/δ), 0<=y<= δ
u=Vm outside boundary layer

If h is the height of the free stream at section A-A, then the value of Vo/Vm is

Question 20

Consider the following arrow diagram with activity times in days

The total float and free float on activity A are

Question 21

A four-stroke engine develops 18.5 kW at 250 rpm. The turning moment diagram is rectangular for both expansion and compression strokes. The turning moment is negative during compression stroke and is zero during suction and exhaust strokes. The turning moment for the expansion stroke is 2.8 times that of the compression stroke. Assuming constant load, determine the moment of inertia of the flywheel to keep the total fluctuation of the crankshaft speed within 1% of the average speed of 250 rpm.

Question 22

In orthogonal turning of low carbon steel pipe, with shear strength of 300MPa, Following condition are taken.

Axial feed = 0.25 mm/rev

Radial depth of cut = 4mm

Chip thickness = 0.5mm

Cutting velocity = 150 m/min

Orthogonal rake angle 8°

The shear angle and shear strain are respectively

Question 23

A beam is made up of two identical bars AB and BC, by hinging them together at B. The end A is built-in (cantilevered) and the end C is simply supported. With the load P acting as shown, the bending moment at A is
Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE ME 18-Mar\GATE-ME-2005_files\image128.jpg

Question 24

In an epicyclic gear train, shown in the figure, the outer ring gear is fixed, while the sun gear rotates counterclockwise at 100 rpm. Let the number of teeth on the sun, planet and outer gears to be 50, 25, and 100, respectively. The ratio of magnitudes of angular velocity of the planet gear to the angular velocity of the carrier arm is _________.

Question 25

In an ideal constant volume cycle the pressure and temperature at the beginning of compression are 95kN/ and 40 °C. The compression ratio for the cycle is 6:1. The heat supplied during the cycle is 1400kJ/kg. Determine work done during the cycle/kg of working fluid. (γ=1.4).
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Mar 8ESE & GATE ME