Day 3: NDA Maths

5 questions (6 parts). Try each one first, then open its answer.

Question 1
Probability. This type asked 6 times: NDA 1 2017, NDA 1 2018, NDA 1 2019, NDA 1 2020, NDA 2 2021, NDA 2 2026. This one: NDA 2 2026
113 $X$
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Question 2
Probability. This type asked 6 times: NDA 1 2017, NDA 1 2018, NDA 2 2019, NDA 2 2024, NDA 1 2025, NDA 2 2026. This one: NDA 2 2026
111 $If two fair dice are tossed, then what is the probability that the sum of the numbers on the faces of the dice is neither 5 nor 7?$
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Question 3
Sequence & Series. This type asked 6 times: NDA 1 2017, NDA 1 2021, NDA 2 2021, NDA 1 2022, NDA 1 2023, NDA 2 2026. This one: NDA 2 2026
32 $P$
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Question 4
Statistics. This type asked 6 times: NDA 1 2017, NDA 2 2018, NDA 1 2025, NDA 2 2025, NDA 1 2026, NDA 2 2026. This one: NDA 2 2026
101 $The variance of 10 observations is 25. If 2 is multiplied to each of the observations and subsequently 7 is subtracted from each multiplied observation, then what is the new variance?$
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Question 5 (case study, 2 parts)
3D Geometry. This type asked 6 times: NDA 1 2018, NDA 1 2019, NDA 2 2022, NDA 2 2023, NDA 2 2024, NDA 1 2026. This one: NDA 1 2026
For the next two (02) items that follow: The equation of the sphere S is $x^2+y^2+z^2-4x-6y-12z+k=0$ .
63 $What is the radius of the sphere passing through origin and concentric with the sphere S?$
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64 $If the radius of the sphere S is 8 units, what is the value of k?$
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Question 1

Question 2

Question 3

Question 4

Question 5 (case study, 2 parts)