Electronics and Communication Engineering
GATE ECE topic:quantitative-aptitude PYQs
Build your understanding with focused practice from past exam papers.
Questions 31–40 of 52. Imported answers require independent review unless marked reviewed.
Question 5
Open questionGAMCQ1 markNeeds review
A superadditive function
satisfies the following property
Which of the following functions is a superadditive function for
?Your answerChoose one option.
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It is quarter past three in your watch. The angle between the hour hand and the minute hand is ______.
Your answerChoose one option.
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A circle with centre O is shown in the figure. A rectangle PQRS of maximum possible area is inscribed in the circle. If the radius of the circle is
, then the area of the shaded portion is ______. 
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are real numbers. The quadratic equation
has equal roots, which is
, thenYour answerChoose one option.
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The following figure shows the data of students enrolled in 5 years (2014 to 2018) for two schools P and Q. During this period, the ratio of the average number of the students enrolled in school P to the average of the difference of the number of students enrolled in schools P and Q is ______.
Your answerChoose one option.
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It would take one machine 4 hours to complete a production order and another machine 2 hours to complete the same order. If both machines work simultaneously at their respective constant rates, the time taken to complete the same order is ______ hours.
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Five different books (P, Q, R, S, T) are to be arranged on a shelf. The books R and S are to be arranged first and second, respectively from the right side of the shelf. The number of different orders in which P, Q and T may be arranged is ___.
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The bar graph in Panel (a) shows the proportion of male and female illiterates in 2001 and 2011. The proportions of males and females in 2001 and 2011 are given in Panel (b) and (c), respectively. The total population did not change during this period.
The percentage increase in the total number of illiterates from 2001 to 2011 is
.
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Open questionGAMCQ2 marksNeeds review
Two design consultants, P and Q, started working from 8 AM for a client. The client budgeted a total of USD 3000 for the consultants. P stopped working when the hour hand moved by 210 degrees on the clock. Q stopped working when the hour hand moved by 240 degrees. P took two tea breaks of 15 minutes each during her shift, but took no lunch break. Q took only one lunch break for 20 minutes, but no tea breaks. The market rate for consultants is USD 200 per hour and breaks are not paid. After paying the consultants, the client shall have USD ______ remaining in the budget.
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If the number 715■423 is divisible by 3 (■ denotes the missing digit in the thousands place), then the smallest whole number in the place of ■ is ________.
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