Engineering Sciences
GATE XE topic:quantitative-aptitude PYQs
Build your understanding with focused practice from past exam papers.
Questions 11–20 of 41. Imported answers require independent review unless marked reviewed.
Question 8
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The pie charts depict the shares of various power generation technologies in the total electricity generation of a country for the years 2007 and 2023.
The renewable sources of electricity generation consist of Hydro, Solar and Wind. Assuming that the total electricity generated remains the same from 2007 to 2023, what is the percentage increase in the share of the renewable sources of electricity generation over this period?
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In the
array shown below, each cell of the first three rows has either a cross (X) or a number. 
The number in a cell represents the count of the immediate neighboring cells (left, right, top, bottom, diagonals) NOT having a cross (X). Given that the last row has no crosses (X), the sum of the four numbers to be filled in the last row is
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A ‘frabjous’ number is defined as a 3 digit number with all digits odd, and no two adjacent digits being the same. For example, 137 is a frabjous number, while 133 is not. How many such frabjous numbers exist?
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Which one among the following statements must be TRUE about the mean and the median of the scores of all candidates appearing for GATE 2023?
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Ankita has to climb 5 stairs starting at the ground, while respecting the following rules:
At any stage, Ankita can move either one or two stairs up.
At any stage, Ankita cannot move to a lower step.
Let
denote the number of possible ways in which Ankita can reach the
stair. For example,
,
,
.The value of
is ______.Your answerChoose one option.
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. What is the value of
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Both the numerator and the denominator of
are increased by a positive integer,
, and those of
are decreased by the same integer. This operation results in the same value for both the fractions.What is the value of
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A survey of 450 students about their subjects of interest resulted in the following outcome.
150 students are interested in Mathematics.
200 students are interested in Physics.
175 students are interested in Chemistry.
50 students are interested in Mathematics and Physics.
60 students are interested in Physics and Chemistry.
40 students are interested in Mathematics and Chemistry.
30 students are interested in Mathematics, Physics and Chemistry.
Remaining students are interested in Humanities.
Based on the above information, the number of students interested in Humanities is
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In a partnership business the monthly investment by three friends for the first six months is in the ratio 3: 4: 5. After six months, they had to increase their monthly investments by 10%, 15% and 20%, respectively, of their initial monthly investment. The new investment ratio was kept constant for the next six months.
What is the ratio of their shares in the total profit (in the same order) at the end of the year such that the share is proportional to their individual total investment over the year?
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Consider the following equations of straight lines:
Line L1:
Line L2:
Line L3:
Line L4:
Which one among the following is the correct statement?
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