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Day 557: JEE Mains Maths

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

  1. Question 1

    Permutations and Combinations. Asked once: 29 Jun 2022

    178
    The total number of four -digit numbers such that each of the first three digits is divisible by the last digit, is equal to

  2. Question 2

    Probability. Asked once: 28 Jun 2022

    78
    The probability, that in a randomly selected 3-digit number at least two digits are odd, is

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  3. Question 3

    Quadratic Equations. Asked once: 24 Jan 2023

    81
    Let λ∈R\lambda \in R and let the equation EE be ∣x∣2−2∣x∣+∣λ−3∣=0|x|^{2}- 2|x| + |\lambda - 3| = 0. Then the largest element in the set S={x+λ:xS = \{ x + \lambda : x is an integer solution of E}E\} is

  4. Question 4

    Relations and Functions. Asked once: 25 Jan 2023

    164
    The number of functions f:{1,2,3,4}→{a∈Z:∣a∣≤8}\mathbf{f:\{ 1,2,3,4\} \rightarrow \{ a \in Z:|a| \leq 8\}} satisfying f(n)+1nf(n+1)=1,∀n∈{1,2,3}f(n) +\frac{1}{n}\mathbf{f(n + 1) = 1,\forall n \in \{ 1,2,3\}} is

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  5. Question 5

    Sequences and Series. Asked once: 5 Apr 2024

    170
    For x≥0x \geq 0, the least value of KK, for which 41+x+41−x4^{1 + x}+4^{1 - x}, K2,16x+16−x\frac{K}{2},16^{x}+16^{- x} are three consecutive terms of an A.P. is equal to:

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