PYQ Vault

Day 82: CBSE Class 10 Maths

5 questions (8 parts). Try each one first, then open its answer.

  1. Question 1

    Polynomials. Asked once: 2025 (same type asked 3 times)

    17
    Zeroes of the polynomial p(x)=x2−32x+4p(x) = x^2 - 3\sqrt{2}x + 4 are :

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  2. Question 2

    Polynomials. Asked once: 2024 (same type asked 3 times)

    14
    What should be added from the polynomial x2−5x+4x^2 - 5x + 4, so that 3 is the zero of the resulting polynomial ?

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  3. Question 3

    Probability. Asked once: 2025 (same type asked 3 times)

    9
    A piggy bank contains ₹ 1 coins and ₹ 2 coins in the ratio 9 : 11 respectively. The piggy bank is accidently dropped and a coin pops out of it. The probability that it is a ₹ 2 coin is

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  4. Question 4 (case study, 4 parts)

    Probability. Asked once: 2024 (same type asked 3 times)

    In a survey on holidays, 120 people were asked to state which type of transport they used on their last holiday. The following pie chart shows the results of the survey. Observe the pie chart and answer the following questions :
    38 (i)
    If one person is selected at random, find the probability that he/she travelled by bus or ship.
    38 (ii)
    Which is most favourite mode of transport and how many people used it ?
    38 (iii) (a)
    A person is selected at random. If the probability that he did not use train is 4/54/5, find the number of people who used train.
    38 (iii) (b)
    The probability that randomly selected person used aeroplane is 7/607/60. Find the revenue collected by air company at the rate of ₹ 5,000 per person.

  5. Question 5

    Quadratic Equations. Asked once: 2025 (same type asked 3 times)

    12
    Which of the following equations does not have a real root ?

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