Data Science and Artificial Intelligence
GATE DA 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 12. Imported answers require independent review unless marked reviewed.
Question 2
Open questionGAMCQ1 markNeeds review
The product of the digits of a three-digit number is 70. The sum of the digits of this three-digit number is ______
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Open questionGAMCQ1 markNeeds review
Consider two distinct positive real numbers
, with
. Let
and
. The relation between
and
is ______.Your answerChoose one option.
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Open questionGAMCQ1 markNeeds review
A 4 × 4 digital image has pixel intensities (U) as shown in the figure. The number of pixels with U ≤ 4 is:
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Open questionGAMCQ1 markNeeds review
A rectangle has a length L and a width W, where L > W. If the width, W, is increased by 10%, which one of the following statements is correct for all values of L and W?
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Open questionGAMCQ2 marksNeeds review
Weight of a person can be expressed as a function of their age. The function usually varies from person to person. Suppose this function is identical for two brothers, and it monotonically increases till the age of 50 years and then monotonically decreases. Let
and
(in years) denote the ages of the brothers and
.Which one of the following statements is correct about their age on the day when they attain the same weight?
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Open questionGAMCQ2 marksNeeds review
A regular dodecagon (12-sided regular polygon) is inscribed in a circle of radius r cm as shown in the figure. The side of the dodecagon is d cm. All the triangles (numbered 1 to 12) in the figure are used to form squares of side r cm and each numbered triangle is used only once to form a square.
The number of squares that can be formed and the number of triangles required to form each square, respectively, are:
Note: The figure shown is representative.
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Open questionGAMCQ2 marksNeeds review
The number of patients per shift (
) consulting Dr. Gita in her past 100 shifts is shown in the figure. If the amount she earns per shift in the past 100 shifts is ₹ 100
, what is the average amount (in ₹) she has earned per shift in the past 100 shifts?Note: The figure shown is representative.
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Open questionGAMCQ1 markNeeds review
How many 4-digit positive integers divisible by 3 can be formed using only the digits , such that no digit appears more than once in a number?
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The sum of the following infinite series is
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Open questionGAMCQ1 markNeeds review
In an election, the share of valid votes received by the four candidates A, B, C, and D is represented by the pie chart shown. The total number of votes cast in the election were 1,15,000, out of which 5,000 were invalid. Based on the data provided, the total number of valid votes received by the candidates B and C is
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