PYQ Vault

Day 89: CBSE Class 10 Maths

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

  1. Question 1

    Surface Areas and Volumes. Asked once: 2026 (same type asked 2 times)

    16
    An ice-cream cone of radius r and height h is completely filled by two spherical scoopes of ice-cream. If radius of each spherical scoop is r2\dfrac{r}{2}, then h : 2r equals

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  2. Question 2

    Surface Areas and Volumes. Asked once: 2026 (same type asked 2 times)

    29 (b)
    The internal and external radii of a hollow hemisphere are 525\sqrt{2} cm and 10 cm respectively. A cone of height 575\sqrt{7} cm and radius 525\sqrt{2} cm is surmounted on the hemisphere as shown in the figure. Find the total surface area of the object in terms of π\pi. (Use 2=1.4\sqrt{2} = 1.4)

  3. Question 3

    Areas Related to Circles. Asked once: 2024 (same type asked 2 times)

    5
    The area of the square inscribed in a circle of radius 525\sqrt{2} cm is :

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  4. Question 4

    Arithmetic Progressions. Asked once: 2023 (same type asked 2 times)

    35 (b)
    250 logs are stacked in the following manner : 22 logs in the bottom row, 21 in the next row, 20 in the row next to it and so on (as shown by an example). In how many rows, are the 250 logs placed and how many logs are there in the top row ?

  5. Question 5

    Arithmetic Progressions. Asked once: 2024 (same type asked 2 times)

    31
    A man starts his job with a certain monthly salary and earns a fixed increment every year. If his salary was ₹ 15,000 after 4 years of service and ₹ 18,000 after 10 years of service, what was his starting salary and what was the annual increment ?