PYQ Vault

Day 32: CBSE Class 10 Maths

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

  1. Question 1

    Real Numbers. Asked 2 times: 2023*, 2024 (* = numbers or wording changed that year)

    21
    Can the number (15)n(15)^n, n being a natural number, end with the digit 0 ? Give reasons.

  2. Question 2

    Real Numbers. Asked 2 times: 2023*, 2024 (* = numbers or wording changed that year)

    21
    Three bells toll at intervals of 9, 12 and 15 minutes respectively. If they start tolling together, after what time will they next toll together ?

  3. Question 3

    Real Numbers. Asked 2 times: 2023*, 2024 (* = numbers or wording changed that year)

    1
    The LCM of the smallest prime number and the smallest odd composite number is :

    Tap an option to check your answer.

  4. Question 4

    Some Applications of Trigonometry. Asked 2 times: 2022*, 2024 (* = numbers or wording changed that year)

    33
    From a point on a bridge across the river, the angles of depressions of the banks on opposite sides of the river are 30∘30^\circ and 60∘60^\circ respectively. If the bridge is at a height of 4 m from the banks, find the width of the river.

  5. Question 5

    Some Applications of Trigonometry. Asked 2 times: 2023*, 2024 (* = numbers or wording changed that year)

    32
    Two pillars of equal lengths stand on either side of a road which is 100 m wide, exactly opposite to each other. At a point on the road between the pillars, the angles of elevation of the tops of the pillars are 60∘60^\circ and 30∘30^\circ. Find the length of each pillar and distance of the point on the road from the pillars. (Use 3=1⋅732\sqrt{3} = 1{\cdot}732)