PYQ Vault

Day 17: CBSE Class 10 Maths

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

  1. Question 1

    Quadratic Equations. Asked 2 times: 2025*, 2026 (* = numbers or wording changed that year)

    35 (b)
    The length of hypotenuse (in cm) of a right-angled triangle is 6 cm more than twice the length of its shortest side. If the length of its third side is 6 cm less than thrice the length of its shortest side, find the dimensions of the triangle.

  2. Question 2

    Quadratic Equations. Asked 2 times: 2024*, 2026 (* = numbers or wording changed that year)

    32
    By selling an article for ₹ 48, a trader loses as much percent as half of the cost price of the article. Calculate the cost price and loss amount of the article.

  3. Question 3

    Real Numbers. Asked 2 times: 2024*, 2026 (* = numbers or wording changed that year)

    2
    There are two sections A and B of Grade X. There are 28 students in Section A and 30 students in Section B. What is the minimum number of books you will acquire for the class library so that they can be distributed equally among students of Section A or Section B ?

    Tap an option to check your answer.

  4. Question 4

    Real Numbers. Asked 2 times: 2023*, 2026 (* = numbers or wording changed that year)

    31
    Find the greatest number less than 10,000 which is exactly divisible by 48, 60 and 65.

  5. Question 5

    Some Applications of Trigonometry. Asked 2 times: 2023*, 2026 (* = numbers or wording changed that year)

    32
    A vertical tower stands on a horizontal plane and is surmounted by a vertical flagstaff. From a point on the ground 30 m away from the tower, wires are attached to the top and bottom of the flagstaff making angles of elevation 60∘60^\circ and 30∘30^\circ respectively. Find the height of the tower and lengths of the wires attached. (Take 3=1⋅73\sqrt{3} = 1{\cdot}73)