PYQ Vault

Day 192: CBSE Class 10 Maths

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

  1. Question 1

    Probability. Asked once: 2025

    25
    Two friends Anil and Ashraf were born in the December month in the year 2010. Find the probability that : (i) they share same date of birth. (ii) they have different dates of birth.

  2. Question 2

    Quadratic Equations. Asked once: 2026

    32 (b)
    The total cost of certain piece of cloth was ₹ 2,100. During special sale time, the shopkeeper offered 2 m extra cloth for free thus reducing the price of cloth per metre by ₹ 120. What was the original per metre price of cloth and its length ?

  3. Question 3

    Real Numbers. Asked once: 2026

    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) : H.C.F. (36m2,18m)=18m(36m^2, 18m) = 18m, where m is a prime number. Reason (R) : H.C.F. of two numbers is always less than or equal to the smaller number.

    Tap an option to check your answer.

  4. Question 4

    Some Applications of Trigonometry. Asked once: 2025

    32 (a)
    Two ships are sailing in the sea on either side of a lighthouse. The angles of depression to the two ships as observed from the top of the lighthouse are 60∘60^\circ and 45∘45^\circ, respectively. If the distance between the ships is 100(1+33)100\left(\dfrac{1 + \sqrt{3}}{\sqrt{3}}\right) m, then find the height of the lighthouse.

  5. Question 5

    Statistics. Asked once: 2025

    12
    The cumulative frequency for calculating median is obtained by adding the frequencies of all the :

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