PYQ Vault
EbooksTutor

Day 231: JEE Mains Maths

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

  1. Question 1

    Relations and Functions. Asked once: 21 Jan 2026 S2 (same type asked 9 times) See all 9 of this type

    67
    Let A={2,3,5,7,9}\mathbf{A = \{ 2,3,5,7,9\}}. Let R be the relation on A defined by x Ry if and only if 2x≤3y2x \leq 3y. Let l\mathcal{l} be the number of elements in R , and m be the minimum number of elements required to be added in R to make it a symmetric relation. Then l+m\mathcal{l +}m is equal to:

    Tap an option to check your answer.

  2. Question 2

    Sequences and Series. Asked once: 23 Jan 2025 (same type asked 9 times) See all 9 of this type

    58
    If the first term of an A.P. is 3 and the sum of its first four terms is equal to one-fifth of the sum of the next four terms, then the sum of the first 20 terms is equal to

    Tap an option to check your answer.

  3. Question 3

    Sequences and Series. Asked once: 10 Apr 2023 (same type asked 9 times) See all 9 of this type

    176
    Suppose a1,a2,2,a3,a4a_{1},a_{2},2,a_{3},a_{4} be in an arithmeticogeometric progression. If the common ratio of the corresponding geometric progression is 2 and the sum of all 5 terms of the arithmetico-geometric progression is 492\frac{49}{2}, then a4a_{4} is equal to

  4. Question 4

    Determinants. Asked once: 13 Apr 2023 (same type asked 9 times) See all 9 of this type

    67
    For the system of linear equations
    2x+4y+2az=b2x + 4y + 2az = b
    x+2y+3z=4x + 2y + 3z = 4
    2x−5y+2z=82x - 5y + 2z = 8
    which of the following is NOT correct?

    Tap an option to check your answer.

  5. Question 5

    Statistics. Asked once: 6 Apr 2023 (same type asked 8 times) See all 8 of this type

    69
    The mean and variance of a set of 15 numbers are 12 and 14 respectively. The mean and variance of another set of 15 numbers are 14 and σ2\sigma^{2} respectively. If the variance of all the 30 numbers in the two sets is 13, then σ2\sigma^{2} is equal to

    Tap an option to check your answer.