Mechanical Engineering
GATE ME Quantitative Aptitude PYQs
Build your understanding with focused practice from past exam papers.
Questions 41–50 of 65. Imported answers require independent review unless marked reviewed.
Question 7
Open questionGAMCQ2 marksNeeds review
Two pipes P and Q can fill a tank in 6 hours and 9 hours respectively, while a third pipe R can empty the tank in 12 hours. Initially, P and R are open for 4 hours. Then P is closed and Q is opened. After 6 more hours R is closed. The total time taken to fill the tank (in hours) is _____.
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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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Seven machines take 7 minutes to make 7 identical toys. At the same rate, how many minutes would it take for 100 machines to make 100 toys?
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A rectangle becomes a square when its length and breadth are reduced by 10 m and 5 m, respectively. During this process, the rectangle loses 650 m
of area. What is the area of the original rectangle in square meters?Your answerChoose one option.
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The perimeters of a circle, a square and an equilateral triangle are equal. Which one of the following statements is true?
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A number consists of two digits. The sum of the digits is 9. If 45 is subtracted from the number, its digits are interchanged. What is the number?
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The value of the expression
is ______.Your answerChoose one option.
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Open questionGAMCQ2 marksNeeds review
For integers
,
and
, what would be the minimum and maximum values respectively of
if
?Your answerChoose one option.
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Open questionGAMCQ2 marksNeeds review
Forty students watched films A, B and C over a week. Each student watched either only one film or all three. Thirteen students watched film A, sixteen students watched film B and nineteen students watched film C. How many students watched all the films?
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