Electrical Engineering
GATE EE topic:quantitative-aptitude PYQs
Build your understanding with focused practice from past exam papers.
How to practice topic:quantitative-aptitude
Attempt a question, record the concept and assumptions, then check the available answer. Rework mistakes after revising the relevant concepts. Topic tags can overlap; review the question context.
Questions 1–10 of 50. Imported answers require independent review unless marked reviewed.
Question 3
Open questionGAMCQ1 markNeeds review
At how many points will the curves
and
intersect in the real
plane?Your answerChoose one option.
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Open questionGAMCQ2 marksNeeds review
In the given figure,
is the diameter of a circle with center
. Two points
and
are chosen on the circle such that
. When
and
are extended, they meet at
. The value of
is ____________________ 
Your answerChoose one option.
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Open questionGAMCQ2 marksNeeds review
and
are two positive integers such that
.The product of the numbers
and
is ______Your answerChoose one option.
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Open questionGAMCQ1 markNeeds review
The relationship between two variables
and
is given by
and is shown in the figure. Find the values of
and
.Note: The figure shown is representative.

Your answerChoose one option.
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Open questionGAMCQ1 markNeeds review
What is the value of
?Your answerChoose one option.
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Open questionGAMCQ2 marksNeeds review
Scores obtained by two students P and Q in seven courses are given in the table below. Based on the information given in the table, which one of the following statements is INCORRECT?
Student | Course 1 | Course 2 | Course 3 | Course 4 | Course 5 | Course 6 | Course 7 |
|---|---|---|---|---|---|---|---|
P | 22 | 89 | 50 | 45 | 78 | 60 | 39 |
Q | 35 | 65 | 60 | 56 | 81 | 45 | 50 |
Your answerChoose one option.
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Open questionGAMCQ2 marksNeeds review
Spheres of unit diameter are centered at
where
,
, and
take every possible integer values.The distance between two spheres is computed from the center of one sphere to the center of the other sphere. For a given sphere,
is the distance to its nearest sphere and
is the distance to its next nearest sphere. The value of
is:Your answerChoose one option.
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Open questionGAMCQ2 marksNeeds review
In the triangle PQR, the lengths of PT and TR are in the ratio of 3:2.
ST is paralel to QR. Two semicircles are drawn with PS and PQ as diameters, as shown in the figure.
Which one of the following statements is true about the shaded area PS?
Note: The figure shown is representive.

Your answerChoose one option.
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Open questionGAMCQ1 markNeeds review
The decimal number system uses the characters 0, 1, 2, …, 8, 9, and the octal number system uses the characters 0, 1, 2, …, 6, 7.
For example, the decimal number 12 (= 1 × 10¹ + 2 × 10⁰) is expressed as 14 (= 1 × 8¹ + 4 × 8⁰) in the octal number system.
The decimal number 108 in the octal number system is
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Open questionGAMCQ1 markNeeds review
A shopkeeper buys shirts from a producer and sells them at 20% profit. A customer has to pay ₹3,186.00 including 18% taxes, per shirt. At what price did the shopkeeper buy each shirt from the producer?
Your answerChoose one option.
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