GATE DA Data Science and Artificial Intelligence Mathematics Previous Year Question Paper and Solution with PDF

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GATE DA Data Science and Artificial Intelligence
Previous Year Questions

GATE DA Data Science and Artificial Intelligence
Previous Year Questions
GATE DA Data Science and Artificial Intelligence

GATE DA Data Science and Artificial Intelligence Previous Year Questions (PYQs)

GATE DA Data Science and Artificial Intelligence Mathematics PYQ

Qus : 1 GATE DA Data Science and Artificial Intelligence PYQ

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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GATE DA Data Science and Artificial Intelligence GATE DA PYQ GATE DA Data Science and Artificial Intelligence GATE DA Data Science and Artificial Intelligence 2024 PYQ

Solution

Valid permutations divisible by 3 ⇒ 48

Qus : 2 GATE DA Data Science and Artificial Intelligence PYQ

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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GATE DA Data Science and Artificial Intelligence GATE DA PYQ GATE DA Data Science and Artificial Intelligence GATE DA Data Science and Artificial Intelligence 2024 PYQ

Solution

Series groups ⇒ answer = $\frac{7}{2}$

Qus : 3 GATE DA Data Science and Artificial Intelligence PYQ

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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GATE DA Data Science and Artificial Intelligence GATE DA PYQ GATE DA Data Science and Artificial Intelligence GATE DA Data Science and Artificial Intelligence 2024 PYQ

Solution

$= \binom{3}{2}(1/2)^3 = 3/8$

Qus : 4 GATE DA Data Science and Artificial Intelligence PYQ

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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GATE DA Data Science and Artificial Intelligence GATE DA PYQ GATE DA Data Science and Artificial Intelligence GATE DA Data Science and Artificial Intelligence 2024 PYQ