GATE DA Data Science and Artificial Intelligence Mathematics Previous Year Questions (PYQs)
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Showing 4 questions
How many 4-digit positive integers divisible by 3 can be formed using only the digits {1,3,4,6,7}, such that no digit appears more than once?
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Solution
Valid permutations divisible by 3 ⇒ 48
The sum of the following infinite series is $2 + \frac{1}{2} + \frac{1}{3} + \frac{1}{4} + \frac{1}{8} + \frac{1}{9} + \frac{1}{16} + \frac{1}{27} + \cdots$
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Solution
Series groups ⇒ answer = $\frac{7}{2}$
Probability of a boy or girl is 1/2. For a family with three children, what is the probability of having exactly two girls and one boy?
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Solution
$= \binom{3}{2}(1/2)^3 = 3/8$
Two identical right circular cones are placed inverted over each other sharing a base. A plane passes through the vertices. What is the outer boundary shape of cross-section?
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Solution
Cross-section gives rhombus
GATE DA Data Science and Artificial Intelligence
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Syllabus, Notification
and More.
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GATE DA Data Science and Artificial Intelligence
Online Test Series, Information About Examination,
Syllabus, Notification
and More.
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