Environmental Science and Engineering
GATE ES topic:quantitative-aptitude PYQs
Build your understanding with focused practice from past exam papers.
Questions 11–20 of 22. Imported answers require independent review unless marked reviewed.
Question 3
Open questionGAMCQ1 markNeeds review
Given a fair six-faced dice where the faces are labelled ‘1’, ‘2’, ‘3’, ‘4’, ‘5’, and ‘6’, what is the probability of getting a ‘1’ on the first roll of the dice and a ‘4’ on the second roll?
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Open questionGAMCQ2 marksNeeds review
The digit in the unit’s place of the product
is ______.Your answerChoose one option.
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Open questionGAMCQ2 marksNeeds review
A square with sides of length 6 cm is given. The boundary of the shaded region is defined by two semi-circles whose diameters are the sides of the square, as shown.
The area of the shaded region is ______ cm
. 
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Open questionGAMCQ1 markNeeds review
A sum of money is to be distributed among P, Q, R, and S in the proportion 5 : 2 : 4 : 3, respectively.
If R gets ₹ 1000 more than S, what is the share of Q (in ₹)?
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Open questionGAMCQ1 markNeeds review
A trapezium has vertices marked as P, Q, R and S (in that order anticlockwise). The side PQ is parallel to side SR.
Further, it is given that, PQ = 11 cm, QR = 4 cm, RS = 6 cm and SP = 3 cm.
What is the shortest distance between PQ and SR (in cm)?
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Open questionGAMCQ2 marksNeeds review
Consider the following inequalities.
(i)
(ii)
Which one of the following expressions below satisfies the above two inequalities?
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Open questionGAMCQ2 marksNeeds review
Four points P(0, 1), Q(0, −3), R(−2, −1), and S(2, −1) represent the vertices of a quadrilateral.
What is the area enclosed by the quadrilateral?
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 1
Open questionGAMCQ1 markNeeds review
The current population of a city is 11,02,500. If it has been increasing at the rate of 5% per annum, what was its population 2 years ago?
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and
are positive integers and
, then,
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Open questionGAMCQ2 marksNeeds review

The number of minutes spent by two students, X and Y, exercising every day in a given week are shown in the bar chart above. The number of days in the given week in which one of the students spent a minimum of 10% more than the other student, on a given day, is
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