PYQ Vault

Day 152: CBSE Class 10 Maths

5 questions (11 parts). Try each one first, then open its answer.

  1. Question 1

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

    27
    Find the zeroes of the polynomial p(x)=3x2−4x−4p(x) = 3x^2 - 4x - 4. Hence, write a polynomial whose each of the zeroes is 2 more than zeroes of p(x)p(x).

  2. Question 2

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

    4
    Let a=p2q3rna = p^2 q^3 r^n and b=p3qmr2b = p^3 q^m r^2, where p, q, r are prime numbers. If LCM of a and b is p3q4r3p^3 q^4 r^3, then the value of 3n−2m3n - 2m is

    Tap an option to check your answer.

  3. Question 3

    Circles. Asked once: 2024 (same type asked 5 times)

    24
    In the given figure, O is the centre of the circle. If ∠AOB=145∘\angle AOB = 145^\circ, then find the value of x.

  4. Question 4 (case study, 4 parts)

    Surface Areas and Volumes. Asked once: 2023 (same type asked 5 times)

    In a coffee shop, coffee is served in two types of cups. One is cylindrical in shape with diameter 7 cm and height 14 cm and the other is hemispherical with diameter 21 cm. Based on the above, answer the following questions :
    37 (i)
    Find the area of the base of the cylindrical cup.
    37 (ii) (a)
    What is the capacity of the hemispherical cup ?
    37 (ii) (b)
    Find the capacity of the cylindrical cup.
    37 (iii)
    What is the curved surface area of the cylindrical cup ?

  5. Question 5 (case study, 4 parts)

    Arithmetic Progressions. Asked once: 2025 (same type asked 4 times)

    In order to organise, Annual Sports Day, a school prepared an eight lane running track with an integrated football field inside the track area as shown below : The length of innermost lane of the track is 400 m and each subsequent lane is 7.6 m longer than the preceding lane. Based on given information, answer the following questions, using concept of Arithmetic Progression.
    37 (i)
    What is the length of the 6th6^{\text{th}} lane ?
    37 (ii)
    How long is the 8th8^{\text{th}} lane than that of 4th4^{\text{th}} lane ?
    37 (iii) (a)
    While practicing for a race, a student took one round each in first six lanes. Find the total distance covered by the student.
    37 (iii) (b)
    A student took one round each in lane 4 to lane 8. Find the total distance covered by the student.