PYQ Vault
EbooksTutor

Day 17: JEE Mains Maths

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

  1. Question 1

    Statistics. This type asked 6 times: 2021 Paper 23, 29 Jun 2022, 26 Jul 2022, 30 Jan 2023, 29 Jan 2024, 2 Apr 2026 S2. This one: 2 Apr 2026 S2 See all 6 of this type

    59
    The mean and variance of nn observations are 8 and 16, respectively. If the sum of the first ( n−1n- 1 ) observations is 48 and the sum of squares of the first ( n−1n - 1 ) observations is 496 , then the value of n is :

    Tap an option to check your answer.

  2. Question 2

    Inverse Trigonometric Functions. This type asked 6 times: 2021 Paper 4, 2021 Paper 12, 29 Jun 2022, 26 Jul 2022, 28 Jan 2025, 28 Jan 2026 S2. This one: 28 Jan 2026 S2 See all 6 of this type

    56
    Considering the principal values of inverse trigonometric functions, the value of the expression tan⁡(2sin⁡−1(213)−2cos⁡−1(310))\tan\left( 2\sin^{- 1}\left( \frac{2}{\sqrt{13}} \right)- 2\cos^{- 1}\left( \frac{3}{\sqrt{10}} \right) \right) is equal to :

    Tap an option to check your answer.

  3. Question 3

    Complex Numbers. This type asked 6 times: 26 Jul 2022, 29 Jan 2023, 1 Feb 2024, 4 Apr 2025, 24 Jan 2026 S1, 28 Jan 2026 S1. This one: 28 Jan 2026 S1 See all 6 of this type

    55
    Let zz be a complex number such that ∣z−6∣=5|z- 6| = 5 and ∣z+2−6i∣=5|z+ 2 - 6i| = 5. Then the value of z3+3z2−15z+141z^{3}+ 3z^{2}- 15z+ 141 is equal to

    Tap an option to check your answer.

  4. Question 4

    Sequences and Series. This type asked 6 times: 2021 Paper 24, 2021 Paper 26, 30 Jan 2023, 1 Feb 2023, 3 Apr 2025, 28 Jan 2026 S1. This one: 28 Jan 2026 S1 See all 6 of this type

    52
    The value of ∑k=1∞(−1)k+1(k(k+1)k!)\sum_{k= 1}^{\infty} ( - 1)^{k+ 1}\left( \frac{k(k+ 1)}{k!} \right) is :

    Tap an option to check your answer.

  5. Question 5

    Matrices. This type asked 6 times: 27 Jun 2022, 31 Jan 2023, 10 Apr 2023, 22 Jan 2025, 23 Jan 2026 S1, 24 Jan 2026 S2. This one: 24 Jan 2026 S2 See all 6 of this type

    58
    Let P=[pij]P =\left\lbrack p_{ij} \right\rbrack and Q=[qij]Q =\left\lbrack q_{ij} \right\rbrack be two square matrices of order 3 such that qij=2(i+j−1)pijq_{ij}=2^{(i + j - 1)}p_{ij} and det(Q)=210det(Q) =2^{10}. Then the value of det(adj(adjP))det(adj(adjP)) is :

    Tap an option to check your answer.