Physics
GATE PH 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 45. Imported answers require independent review unless marked reviewed.
Question 3
Open questionGAMCQ1 markNeeds review
A school has 100 students distributed among 1st to 10th standards.
Based on this, which one of the following statements is always correct?
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How many 3-digit numbers can be formed using three distinct single digit prime numbers?
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Open questionGAMCQ1 markNeeds review
In a group of students, 10 students like Mathematics, 12 students like English, 4 students like both Mathematics and English, and 6 students like neither Mathematics nor English. The number of students in the group is ____
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Open questionGAMCQ2 marksNeeds review
As shown in the figure, circle
with center
and radius
touches the square
at points
and
while circle
with center
and radius
touches the square
at points
and
. The two circles touch each other at
.Given
and
,
_____ cm. 
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Open questionGAMCQ1 markNeeds review
The sum of the following infinite series is:
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Open questionGAMCQ1 markNeeds review
A thin wire is used to construct all the edges of a cube of 1 m side by bending, cutting and soldering the wire. If the wire is 12 m long, what is the minimum number of cuts required to construct the wire frame to form the cube?
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Open questionGAMCQ2 marksNeeds review
Rohit goes to a restaurant for lunch at about 1 PM. When he enters the restaurant, he notices that the hour and minute hands on the wall clock are exactly coinciding. After about an hour, when he leaves the restaurant, he notices that the clock hands are again exactly coinciding. How much time (in minutes) did Rohit spend at the restaurant?
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Open questionGAMCQ2 marksNeeds review
A circle with center at
and radius
intersects with another circle with center at
and radius
at two points. One of the points of intersection
is:Your answerChoose one option.
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Open questionGAMCQ1 markNeeds review
The real variables
,
,
, and the real constants
,
,
satisfy
Given that the denominators are non-zero, the value of
isYour answerChoose one option.
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Open questionGAMCQ1 markNeeds review
Take two long dice (rectangular parallelepiped), each having four rectangular faces labeled as 2, 3, 5, and 7. If thrown, the long dice cannot land on the square faces and has 1/4 probability of landing on any of the four rectangular faces. The label on the top face of the die is the score of the throw.
If thrown together, what is the probability of getting the sum of the two long dice scores greater than 11?
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