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Day 410: JEE Mains Maths

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

  1. Question 1

    Relations and Functions. Asked once: 28 Jun 2022 (same type asked 13 times) See all 13 of this type

    151
    Let R1={(a,b)∈N×N:∣a−b∣≤13}R_{1}\mathbf{= \{(a,b) \in N \times N:|a - b| \leq 13\}} and
    R2={(a,b)∈N×N:∣a−b∣≠13}. Then on N : R_{2}\mathbf{= \{(a,b) \in N \times N:|a - b| \neq 13\}.}\text{~Then on~}N\text{~:~}

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  2. Question 2

    Probability. Asked once: 14 Jun 2022 (same type asked 12 times) See all 12 of this type

    64
    Bag A contains 2 white, 1 black and 3 red balls and bag B contains 3 black, 2 red and nn white balls. One bag is chosen at random and 2 balls drawn from it at random, are found to be 1 red and 1 black. If the probability that both balls come from Bag A is 611\frac{6}{11}, then nn is equal to

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  3. Question 3

    Permutations and Combinations. Asked once: 14 Jun 2022 (same type asked 12 times) See all 12 of this type

    173
    The number of 7-digit numbers which are multiples of 11 and are formed using all the digits 1,2,3,4,5,71,2,3,4,5,7 and 9 is

  4. Question 4

    Quadratic Equations. Asked once: 2021 Paper 2 (same type asked 10 times) See all 10 of this type

    81
    The number of the real roots of the equation (x+1)2+∣x−5∣=274(x+ 1)^{2}+ |x- 5| =\frac{27}{4} is

  5. Question 5

    Relations and Functions. Asked once: 8 Apr 2023 (same type asked 9 times) See all 9 of this type

    86
    Let A={0,3,4,6,7,8,9,10}\mathbf{A = \{ 0,3,4,6,7,8,9,10\}} and RR be the relation defined on A such that R={(x,y)∈A×A:x−y \mathbf{R = \{(x,y) \in A \times A:x - y\ } is odd positive integer or x−y=2}x - y = 2\}. The minimum number of elements that must be added to the relation RR, so that it is a symmetric relation, is equal to