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Day 138: NDA Maths

5 questions. Try each one first, then open its answer.

  1. Question 1

    Probability. Asked once: NDA 2 2022 (same type asked 2 times)

    104
    Two numbers x and y are chosen at random from a set of first 10 natural numbers. What is the probability that (x + y) is divisible by 4?

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  2. Question 2

    Probability. Asked once: NDA 2 2017 (same type asked 2 times)

    103
    Let the sample space consist of non-negative integers up to 50, XX denote the numbers which are multiples of 3 and YY denote the odd numbers. Which of the following is/are correct? 1. P(X)=825P(X) = \dfrac{8}{25} 2. P(Y)=12P(Y) = \dfrac{1}{2} Select the correct answer using the code given below.

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  3. Question 3

    Sets & Relations. Asked once: NDA 2 2024 (same type asked 2 times)

    35
    If AA and BB are two non-empty sets having 10 elements in common, then how many elements do A×BA\times B and B×AB\times A have in common?

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  4. Question 4

    Sets & Relations. Asked once: NDA 2 2021 (same type asked 2 times)

    43
    Suppose set AA consists of first 250 natural numbers that are multiples of 3 and set BB consists of first 200 even natural numbers. How many elements does A∪BA\cup B have?

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  5. Question 5

    Vectors. Asked once: NDA 2 2022 (same type asked 2 times)

    70
    The position vectors of vertices A, B and C of triangle ABC are respectively j^+k^\hat{j}+\hat{k}, 3i^+j^+5k^3\hat{i}+\hat{j}+5\hat{k} and 3j^+3k^3\hat{j}+3\hat{k}. What is angle C equal to?

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