PYQ Vault

Day 92: CBSE Class 10 Maths

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

  1. Question 1

    Quadratic Equations. Asked once: 2024 (same type asked 2 times)

    32 (b)
    The denominator of a fraction is one more than twice the numerator. If the sum of the fraction and its reciprocal is 216212\dfrac{16}{21}, find the fraction.

  2. Question 2

    Real Numbers. Asked once: 2025 (same type asked 2 times)

    10
    The sum of the exponents of prime factors in the prime factorisation of 4004 is :

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  3. Question 3

    Real Numbers. Asked once: 2025 (same type asked 2 times)

    26 (b)
    Let x and y be two distinct prime numbers and p=x2y3p = x^2y^3, q=xy4q = xy^4, r=x5y2r = x^5y^2. Find the HCF and LCM of p, q and r. Further check if HCF(p,q,r)×LCM(p,q,r)=p×q×r\text{HCF}(p, q, r) \times \text{LCM}(p, q, r) = p \times q \times r or not.

  4. Question 4

    Real Numbers. Asked once: 2023 (same type asked 2 times)

    21
    Two numbers are in the ratio 2 : 3 and their LCM is 180. What is the HCF of these numbers ?

  5. Question 5

    Real Numbers. Asked once: 2024 (same type asked 2 times)

    2
    The HCF of two numbers 65 and 104 is 13. If LCM of 65 and 104 is 40x, then the value of x is :

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