PYQ Vault

Day 62: CBSE Class 10 Maths

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

  1. Question 1

    Quadratic Equations. This type asked 2 times: 2024, 2025. This one: 2025

    35 (a)
    The numerator of a fraction is 3 less than its denominator. If 2 is added to both numerator and denominator, then the sum of the new fraction and the original fraction is 19201\dfrac{9}{20}. Find the original fraction.

  2. Question 2

    Real Numbers. This type asked 2 times: 2024, 2025. This one: 2025

    12
    If 1080=2p×3q×51080 = 2^p \times 3^q \times 5, then (p−q)(p - q) is equal to :

    Tap an option to check your answer.

  3. Question 3

    Real Numbers. This type asked 2 times: 2024, 2025. This one: 2025

    1
    If x=ab3x = ab^3 and y=a3by = a^3b, where a and b are prime numbers, then [HCF(x,y)−LCM(x,y)][\text{HCF}(x, y) - \text{LCM}(x, y)] is equal to :

    Tap an option to check your answer.

  4. Question 4

    Real Numbers. This type asked 2 times: 2023, 2025. This one: 2025

    23 (b)
    Two numbers are in the ratio 4 : 5 and their HCF is 11. Find the LCM of these numbers.

  5. Question 5

    Real Numbers. This type asked 2 times: 2024, 2025. This one: 2025

    Two statements are given, one labelled Assertion (A) and the other labelled Reason (R). Select the correct answer from the options given below.
    19
    Assertion (A) : For any two prime numbers p and q, their HCF is 1 and LCM is p+qp + q. Reason (R) : For any two natural numbers, HCF ×\times LCM = product of numbers.

    Tap an option to check your answer.