Architecture and Planning
GATE AR topic:quantitative-aptitude PYQs
Build your understanding with focused practice from past exam papers.
Questions 31–40 of 49. Imported answers require independent review unless marked reviewed.
Question 8
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The distance between Delhi and Agra is 233 km. A car P started traveling from Delhi to Agra and another car Q started from Agra to Delhi along the same road 1 hour after the car P started. The two cars crossed each other 75 minutes after the car Q started. Both cars were traveling at constant speed. The speed of car P was 10 km/hr more than the speed of car Q. How many kilometers had car Q traveled when the cars crossed each other?
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For a matrix M =
;
, the diagonal elements are all zero and
. The minimum number of elements required to fully specify the matrix is _____.Your answerChoose one option.
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The profit shares of two companies P and Q are shown in the figure. If the two companies have invested a fixed and equal amount every year, then the ratio of the total revenue of company P to the total revenue of company Q, during 2013 - 2018 is______.
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One hectare is equal to
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The radius as well as the height of a circular cone increases by 10%. The percentage increase in its volume is ______.
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In a country of 1400 million population, 70% own mobile phones. Among the mobile phone owners, only 294 million access the Internet. Among these Internet users, only half buy goods from e-commerce portals. What is the percentage of these buyers in the country?
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Two trains started at 7AM from the same point. The first train travelled north at a speed of 80km/h and the second train travelled south at a speed of 100 km/h. The time at which they were 540 km apart is ______ AM.
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For
,
and
are both decreasing functions in the interval ________.Your answerChoose one option.
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The area of an equilateral triangle is
. What is the perimeter of the triangle?Your answerChoose one option.
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Arrange the following three-dimensional objects in the descending order of their volumes:
(i) A cuboid with dimensions 10 cm, 8 cm and 6 cm
(ii) A cube of side 8 cm
(iii) A cylinder with base radius 7 cm and height 7 cm
(iv) A sphere of radius 7 cm
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