PYQ Vault

Day 57: CBSE Class 10 Maths

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

  1. Question 1

    Probability. This type asked 2 times: 2025, 2026. This one: 2026

    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) : If probability of happening of an event is 0.2p0.2p, p>0p > 0, then p can't be more than 5. Reason (R) : P(E‾)=1−P(E)P(\overline{E}) = 1 - P(E) for an event E.

    Tap an option to check your answer.

  2. Question 2

    Quadratic Equations. This type asked 2 times: 2025, 2026. This one: 2026

    14
    The value of m for which the quadratic equation 3x2−7x+m=03x^2 - 7x + m = 0 has real and equal roots, is

    Tap an option to check your answer.

  3. Question 3

    Quadratic Equations. This type asked 2 times: 2022, 2026. This one: 2026

    21
    Verify that roots of the quadratic equation (p−q)x2+(q−r)x+(r−p)=0(p - q)x^2 + (q - r)x + (r - p) = 0 are equal when q+r=2pq + r = 2p.

  4. Question 4

    Quadratic Equations. This type asked 2 times: 2023, 2026. This one: 2026

    9
    The value of p for which roots of the quadratic equation x2−px+6=0x^2 - px + 6 = 0 are rational, is

    Tap an option to check your answer.

  5. Question 5

    Quadratic Equations. This type asked 2 times: 2023, 2026. This one: 2026

    34 (b)
    Two pipes are used to fill a swimming pool. If the pipe of the larger diameter is used for 4 hours and the pipe of the smaller diameter for 9 hours, only half of the pool can be filled. Find how long it would take for each pipe to fill the pool, separately, if the pipe of smaller diameter takes 10 hours more than the pipe of larger diameter to fill the pool.