PYQ Vault

Day 206: CBSE Class 10 Maths

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

  1. Question 1

    Surface Areas and Volumes. Asked once: 2024

    35
    A juice seller was serving his customers using glasses as shown in the figure. The inner diameter of the cylindrical glass was 5⋅65{\cdot}6 cm, but the bottom of the glass had a hemispherical raised portion which reduced the capacity of the glass. If the height of the glass was 10 cm, find the apparent capacity and the actual capacity of the glass.
  2. Question 2

    Triangles. Asked once: 2026

    8
    Shown below are three triangles. The measures of two adjacent sides and included angle are given for each triangle : Which of these triangles are similar ?

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  3. Question 3

    Areas Related to Circles. Asked once: 2024

    12
    A chord of a circle of radius 10 cm subtends a right angle at its centre. The length of the chord (in cm) is :

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  4. Question 4

    Arithmetic Progressions. Asked once: 2023

    34
    Solve the equation for x : 1+4+7+10+…+x=2871 + 4 + 7 + 10 + \ldots + x = 287
  5. Question 5

    Circles. Asked once: 2025

    Two statements are given, one labelled Assertion (A) and the other labelled Reason (R). Select the correct answer from the options given below.
    20
    Assertion (A) : If two tangents are drawn to a circle from an external point, then they subtend equal angles at the centre of the circle. Reason (R) : A parallelogram circumscribing a circle is a rhombus.

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