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

GATE DA Data Science and Artificial Intelligence 2024 PYQ

GATE DA Data Science and Artificial Intelligence PYQ 2024
If → denotes increasing order of intensity, then the meaning of the words [sick → infirm → moribund] is analogous to [silly → ____ → daft]. Which one of the given options is appropriate to fill the blank?





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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

Increasing intensity ⇒ silly → vain → daft
GATE DA Data Science and Artificial Intelligence PYQ 2024
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
GATE DA Data Science and Artificial Intelligence PYQ 2024
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 = $\frac{7}{2}$
GATE DA Data Science and Artificial Intelligence PYQ 2024
Thousands of years ago, some people began dairy farming. This coincided with mutations in a gene that enabled digestion of dairy milk. Based on this passage, which can be inferred?





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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

Mutation enabled digestion ⇒ correct inference
GATE DA Data Science and Artificial Intelligence PYQ 2024
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

$= \binom{3}{2}(1/2)^3 = 3/8$
GATE DA Data Science and Artificial Intelligence PYQ 2024
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

Solution

Cross-section gives rhombus

GATE DA Data Science and Artificial Intelligence

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