Mechanical Engineering
GATE ME topic:quantitative-aptitude PYQs
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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 65. Imported answers require independent review unless marked reviewed.
Question 5
Open questionGAMCQ1 markNeeds review
Consider the following statements about four numbers:
(S1) The average of the four numbers is 25
(S2) Each number is at most 40
(S3) Each number is at least 20
Choose the option that is necessarily correct.
Your answerChoose one option.
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Open questionGAMCQ2 marksNeeds review
Consider a string P of length
that is laid out as a straight-line segment. Another string K is laid out as a semicircular arc with string P as its diameter, as represented in Figure (i). When both the strings are shortened by a length
they can be re-arranged such that the shortened string K forms a full circle with the shortened string P as its diameter, as represented in Figure (ii).
The value of
is ________Your answerChoose one option.
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Open questionGAMCQ1 markNeeds review
Two cars, P and Q, start from a point X in India at 10 AM. Car P travels North with a speed of 25 km/h and car Q travels East with a speed of 30 km/h. Car P travels continuously but car Q stops for some time after travelling for one hour. If both the cars are at the same distance from X at 11:30 AM, for how long (in minutes) did car Q stop?
Your answerChoose one option.
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Open questionGAMCQ1 markNeeds review
The ceiling function of a real number
, denoted by
, is defined as the smallest integer that is greater than or equal to
. Similarly, the floor function, denoted by
, is defined as the largest integer that is smaller than or equal to
. Which one of the following statements is NOT correct for all possible values of
?Your answerChoose one option.
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Open questionGAMCQ2 marksNeeds review
How many combinations of non-null sets A, B, C are possible from the subsets of satisfying the conditions: (i) A is a subset of B, and (ii) B is a subset of C?
Your answerChoose one option.
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Open questionGAMCQ2 marksNeeds review
The bar chart gives the batting averages of VK and RS for 11 calendar years from 2012 to 2022. Considering that 2015 and 2019 are world cup years, which one of the following options is true?
Your answerChoose one option.
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Open questionGAMCQ1 markNeeds review
A certain country has 504 universities and 2591 colleges. These are categorised into Grades I, II, and III as shown in the given pie charts.
What is the percentage, correct to one decimal place, of higher education institutions (colleges and universities) that fall into Grade III?
Your answerChoose one option.
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Open questionGAMCQ1 markNeeds review
The minute-hand and second-hand of a clock cross each other _______ times between 09:15:00 AM and 09:45:00 AM on a day.
Your answerChoose one option.
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Open questionGAMCQ2 marksNeeds review
Consider the following inequalities
where
and
are positive integers.
The value of
is ______.Your answerChoose one option.
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Open questionGAMCQ2 marksNeeds review
How many pairs of sets (S,T) are possible among the subsets of that satisfy the condition that S is a subset of T?
Your answerChoose one option.
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