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Day 502: JEE Mains Maths

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

  1. Question 1

    Permutations and Combinations. Asked once: 1 Feb 2024

    65
    If nn is the number of ways five different employees can sit into four indistinguishable offices where any office may have any number of persons including zero, then nn is equal to:

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  2. Question 2

    Probability. Asked once: 1 Feb 2024

    169
    Let Ajay will not appear in JEE exam with probability p=27p =\frac{2}{7}, while both Ajay and Vijay will appear in the exam with probability q=15q =\frac{1}{5}. Then the probability, that Ajay will appear in the exam and Vijay will not appear is:

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  3. Question 3

    Quadratic Equations. Asked once: 22 Jan 2025

    59
    The product of all solutions of the equation e5(log⁡ex)2+3=x8,x>0e^{5\left( \log_{e}x \right)^{2}+ 3}=x^{8},x > 0, is :

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  4. Question 4

    Relations and Functions. Asked once: 9 Apr 2024

    80
    Let f(x)=x2+9,g(x)=xx−9f(x) =x^{2}+ 9,g(x) =\frac{x}{x - 9} and a=fog(10),b=gof(3)a = fog(10),b = gof(3). If ee and ll denote the eccentricity and the length of the latus rectum of the ellipse x2a+y2b=1\frac{x^{2}}{a}+\frac{y^{2}}{b}= 1, then 8e2+l28e^{2}+l^{2} is equal to.

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  5. Question 5

    Sequences and Series. Asked once: 7 Apr 2025

    135
    Let ana_{n} be the nth n^{\text{th~}} term of an A.P. If Sn=a1+a2+a3+….+an=700,a6=7S_{n}=a_{1}+a_{2}+a_{3}+ \ldots. +a_{n}= 700,a_{6}= 7 and S7=7S_{7}= 7, then ana_{n} is equal to :

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