Mechanical Engineering
GATE ME format:mcq PYQs
Build your understanding with focused practice from past exam papers.
Questions 391–400 of 599. Imported answers require independent review unless marked reviewed.
Question 9
Open questionGAMCQ2 marksNeeds review
A firm hires employees at five different skill levels P, Q, R, S, T. The shares of employment at these skill levels of total employment in 2010 is given in the pie chart as shown. There were a total of 600 employees in 2010 and the total employment increased by 15% from 2010 to 2016. The total employment at skill levels P, Q and R remained unchanged during this period. If the employment at skill level S increased by 40% from 2010 to 2016, how many employees were there at skill level T in 2016?
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Mola is a digital platform for taxis in a city. It offers three types of rides – Pool, Mini and Prime. The Table below presents the number of rides for the past four months. The platform earns one US dollar per ride. What is the percentage share of revenue contributed by Prime to the total revenues of Mola, for the entire duration?
Type | January | February | March | April |
|---|---|---|---|---|
Pool | 170 | 320 | 215 | 190 |
Mini | 110 | 220 | 180 | 70 |
Prime | 75 | 180 | 120 | 90 |
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M and N had four children P, Q, R and S. Of them, only P and R were married. They had children X and Y respectively. If Y is a legitimate child of W, which one of the following statements is necessarily FALSE?
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X is an online media provider. By offering unlimited and exclusive online content at attractive prices for a loyalty membership, X is almost forcing its customers towards its loyalty membership. If its loyalty membership continues to grow at its current rate, within the next eight years more households will be watching X than cable television.
Which one of the following statements can be inferred from the above paragraph?
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Consider the matrix
. The number of distinct eigenvalues of
isYour answerChoose one option.
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In matrix equation
,
One of the eigenvalues of matrix
isYour answerChoose one option.
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Open questionMEMCQ1 markNeeds review
A parabola
with
is shown in the figure. The volume of the solid of rotation obtained by rotating the shaded area by 360° around the x-axis is
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The directional derivative of the function
along a line directed from
to
, evaluated at the point
isYour answerChoose one option.
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For the equation
, if
, then the value of
isYour answerChoose one option.
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The differential equation
is valid in the domain
with
. The solution of the differential equation isYour answerChoose one option.
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