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Day 389: JEE Mains Maths

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

  1. Question 1

    Differential Equations. Asked once: 30 Jan 2024 (same type asked 13 times) See all 13 of this type

    69
    Let y=y(x)y=y(x) be the solution of the differential equation sec⁡x dy+{2(1−x)tan⁡x+x(2−x)} dx=0\sec x\,dy + \{2(1-x)\tan x + x(2-x)\}\,dx = 0 such that y(0)=2y(0)=2. Then y(2)y(2) is equal to:

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  2. Question 2

    Statistics. Asked once: 8 Apr 2023 (same type asked 13 times) See all 13 of this type

    151
    Let the mean and variance of 12 observations be 92\frac{9}{2} and 4 respectively. Later on, it was observed that two observations were considered as 9 and 10 instead of 7 and 14 respectively. If the correct variance is mn\frac{m}{n}, where mm and nn are co-prime, then m+nm + n is equal to

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  3. Question 3

    Relations and Functions. Asked once: 24 Jan 2023 (same type asked 13 times) See all 13 of this type

    68
    The relation R={(a,b):gcd(a,b)=1,2a≠b,a,b∈Z}\mathbf{R = \{(a,b):gcd(a,b) = 1,2a \neq b,a,b \in Z\}} is:

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  4. Question 4

    Probability. Asked once: 30 Jan 2024 (same type asked 12 times) See all 12 of this type

    161
    Bag A contains 3 white, 7 red balls and bag B contains 3 white, 2 red balls. One bag is selected at random and a ball is drawn from it. The probability of drawing the ball from the bag AA, if the ball drawn in white, is:

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  5. Question 5

    Permutations and Combinations. Asked once: 29 Jul 2022 (same type asked 12 times) See all 12 of this type

    174
    The number of natural numbers lying between 1012 and 23421 that can be formed using the digits 2,3,4,5,62,3,4,5,6 (repetition of digits is not allowed) and divisible by 55 is