PYQ Vault

Day 175: CBSE Class 10 Maths

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

  1. Question 1

    Introduction to Trigonometry. Asked once: 2025 (same type asked 4 times)

    24 (a)
    Find the value of x for which (sin⁡A+cosec⁡A)2+(cos⁡A+sec⁡A)2=x+tan⁡2A+cot⁡2A(\sin A + \operatorname{cosec} A)^2 + (\cos A + \sec A)^2 = x + \tan^2 A + \cot^2 A

  2. Question 2

    Introduction to Trigonometry. Asked once: 2023 (same type asked 4 times)

    25 (a)
    If acos⁡θ+bsin⁡θ=ma\cos\theta + b\sin\theta = m and asin⁡θ−bcos⁡θ=na\sin\theta - b\cos\theta = n, then prove that a2+b2=m2+n2a^2 + b^2 = m^2 + n^2.

  3. Question 3

    Probability. Asked once: 2023 (same type asked 4 times)

    7
    A bag contains 100 cards numbered 1 to 100. A card is drawn at random from the bag. What is the probability that the number on the card is a perfect cube ?

    Tap an option to check your answer.

  4. Question 4

    Probability. Asked once: 2025 (same type asked 4 times)

    27
    Two dice are rolled together. Find the probability of getting : (i) a multiple of 2 on one and a multiple of 3 on the other die. (ii) the product of two numbers on the top of the two dice is a perfect square number.

  5. Question 5

    Statistics. Asked once: 2025 (same type asked 4 times)

    32
    The following table shows the number of traffic challans issued in the month of April by the traffic police :
    Number of ChallansNumber of Days
    0-103
    10-205
    20-3010
    30-409
    40-502
    50-601
    Total30
    Find the ‘mean’ and ‘mode’ of the above data.