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Day 129: JEE Mains Maths

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

  1. Question 1

    Statistics. Asked once: 7 Apr 2025 (same type asked 13 times) See all 13 of this type

    62
    The mean and standard deviation of 100 observations are 40 and 5.1, respectively. By mistake one observation is taken as 50 instead of 40. If the correct mean and the correct standard deviation are μ\mu and σ\sigma respectively, then 10(μ+σ)10(\mu+\sigma) is equal to.

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  2. Question 2

    Relations and Functions. Asked once: 29 Jan 2025 (same type asked 13 times) See all 13 of this type

    61
    Define a relation R on the interval [0,π2)\left\lbrack 0,\frac{\pi}{2} \right) by xR y if and only if sec⁡2x−tan⁡2y=1\sec^{2}x-\tan^{2}y= 1. Then RR is :

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  3. Question 3

    Probability. Asked once: 5 Apr 2026 S1 (same type asked 12 times) See all 12 of this type

    57
    A letter is known to have arrived by post either from KANPUR or from ANANTPUR. On the envelope just two consecutive letters AN are visible. The probability, that the letter came from ANANTPUR, is :

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  4. Question 4

    Permutations and Combinations. Asked once: 8 Apr 2024 (same type asked 12 times) See all 12 of this type

    84
    The number of 3-digit numbers, formed using the digits 2,3,4,52,3,4,5 and 7 , when the repetition of digits is not allowed, and which are not divisible by 3 , is equal to

  5. Question 5

    Definite Integration. Asked once: 2 Apr 2025 (same type asked 11 times) See all 11 of this type

    132
    Let (a,b)\left( a,b \right) be the point of intersection of the curve x2=2yx^{2}= 2y and the straight line y−y- 2x−6=02x- 6 = 0 in the second quadrant. Then the integral I=∫ab9x21+5xdxI=\int_{a}^{b} \frac{9x^{2}}{1 +5^{x}}dx is equal to:

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