PYQ Vault

Day 6: CBSE Class 10 Maths

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

  1. Question 1

    Probability. Asked 3 times: 2023*, 2024*, 2026 (* = numbers or wording changed that year)

    10
    Which of the following can not be the probability of an event ?

    Tap an option to check your answer.

  2. Question 2

    Probability. Asked 3 times: 2023*, 2025*, 2026 (* = numbers or wording changed that year)

    31
    Two dice are thrown at the same time. Determine the probability that the (i) sum of the numbers on the two dice is 5, and (ii) difference of the numbers on the two dice is 3.

  3. Question 3

    Some Applications of Trigonometry. Asked 3 times: 2023, 2024, 2026

    9
    If the length of the shadow of a tower is 3\sqrt{3} times that of its height, then altitude of the Sun is :

    Tap an option to check your answer.

  4. Question 4

    Some Applications of Trigonometry. Asked 3 times: 2022*, 2024*, 2026 (* = numbers or wording changed that year)

    34 (b)
    A tower stands vertically on the ground. A man standing at the top of the tower observes his friend at an angle of depression of 30∘30^\circ, who is approaching the foot of the tower with a uniform speed. 30 seconds later, the angle of depression changes to 60∘60^\circ. Find the time taken by his friend to reach the foot of the tower from this point.

  5. Question 5

    Some Applications of Trigonometry. Asked 3 times: 2023*, 2024*, 2026 (* = numbers or wording changed that year)

    12
    From a point on the ground, which is 60 m away from the foot of a vertical tower, the angle of elevation of the top of the tower is found to be 45∘45^\circ. The height (in metres) of the tower is :

    Tap an option to check your answer.