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GATE 2019: Semi Syllabus Quiz-1 (App update required to attempt this test)

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Question 1

Consider the function f(x) = 2x³ − 3x² in the domain [−1, 2]. The global minimum of f(x)is ____________

Question 2

For iron said to be gray cast iron, the minimum percentage of carbon required is ___________.

Question 3

The range for coefficient of discharge for a Venturimeter is

Question 4

In the following question, there is a related pair of words in capital letters. Four pairs of words or phrases follow this capitalized pair. Select the pair that best expresses a relationship similar to the one expressed in the original pair.
IMPLICATE: INCRIMINATION

Question 5

If the temperature of solid surface changes from 37 °C to 727 °C, then its emissive power will increase in the ratio of

Question 6

A rigid rod (AB. of length L =

m is undergoing translational as well as rotational motion in the x-y plane (see the figure). The point A has the velocity V₁ = i + 2j m/s. The end B is constrained to move only along the x direction.

The magnitude of the velocity V₂ (in m/s) at the end B is____

Question 7

From the lists given below, choose the most appropriate set of heat treatment process and the corresponding process characteristics ______.

$Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE ME 18-Mar\GATE-ME-2004_files\image324.png$

Question 8

If $Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE ME 18-Mar\GATE-ME-2005_files\image085.png$ , and y(1)= 0, then what is y(e)?

Question 9

A smooth flat plate 2 m wide and 3 m long is towed in a fluid of relative density 0.9, kinematic viscosity 10^-4 m²/s at a velocity of 10 m/s along its length. The power required for towing the plate will be

Question 10

For a > b, if a + b = 5 and ab = 6, then the value of (a² - b²) is

Question 11

A domestic hot water tank (0.5 m diameter and 1 m high) is installed in a large space by the support of four small diameter rod. The ambient temperature is 25°C. If the tank surface is oxidized copper with an emissivity of 0.8 and is at a peak temperature of 80°C, the heat loss from the tank by radiation is

Question 12

A ball of mass 0.1 kg, initially at rest, is dropped from height of 1m. Ball hits the ground and bounces off the ground. Upon impact with the ground, the velocity reduces by 20%. The height (in m) to which the ball will rise is ___________

Question 13

The speed of the jet is 40m/s and it has a diameter of 30 cm. If the jet is made to strike a stationary curved smooth plate, the jet gets deflected by an angle of 60. What will be the velocity of jet at the exit of the plate. ______ .

Question 14

A firm producing air purifiers sold 200 units in 2012. The following pie chart presents the share of raw material, labour, energy, plant & machinery, and transportation costs in the total manufacturing cost of the firm in 2012. The expenditure on labour in 2012 is Rs. 4,50,000. In 2013, the raw material expenses increased by 30% and all other expenses increased by 20%. What is the percentage increase in total cost for the company in 2013?

Question 15

A double-pipe counter-flow heat exchanger transfers heat between two water streams. Tube side water at 19 liter/s is heated from 10 °C to 38 °C. Shell side water at 25 liter/s is entering at 46 °C. Assume constant properties of water; density is 1000 kg/m³ and specific heat is 4186 J/kg.K. The LMTD (in °C) is __________

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