Electronics and Communication Engineering
GATE ECE topic:quantitative-aptitude PYQs
Build your understanding with focused practice from past exam papers.
Questions 21–30 of 52. Imported answers require independent review unless marked reviewed.
Question 3
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 questionGAMCQ1 markNeeds review
The figure shows a grid formed by a collection of unit squares. The unshaded unit square in the grid represents a hole.
What is the maximum number of squares without a “hole in the interior” that can be formed within the 4 × 4 grid using the unit squares as building blocks?
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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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Open questionECNAT1 markNeeds review
The bar graph shows the frequency of the number of wickets taken in a match by a bowler in her career. For example, in 17 of her matches, the bowler has taken 5 wickets each. The median number of wickets taken by the bowler in a match is ________ (rounded off to one decimal place).
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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
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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
Consider a square sheet of side 1 unit. In the first step, it is cut along the main diagonal to get two triangles. In the next step, one of the cut triangles is revolved about its short edge to form a solid cone. The volume of the resulting cone, in cubic units, is
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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.
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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Open questionGAMCQ2 marksNeeds review
Corners are cut from an equilateral triangle to produce a regular convex hexagon as shown in the figure above.
The ratio of the area of the regular convex hexagon to the area of the original equilateral triangle is
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