PYQ Vault

Day 93: CBSE Class 10 Maths

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

  1. Question 1

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

    1
    (3+2)2+(3−2)2\left(\sqrt{3} + 2\right)^2 + \left(\sqrt{3} - 2\right)^2 is a/an

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  2. Question 2

    Some Applications of Trigonometry. Asked once: 2024 (same type asked 2 times)

    35
    The angles of depression of the top and the bottom of a 50 m high building from the top of a tower are 45∘45^\circ and 60∘60^\circ, respectively. Find the height of the tower. (Use 3=1⋅73\sqrt{3} = 1{\cdot}73)

  3. Question 3

    Some Applications of Trigonometry. Asked once: 2025 (same type asked 2 times)

    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) : A ladder leaning against a wall, stands at a horizontal distance of 6 m from the wall. If the height of the wall up to which the ladder reaches is 8 m, then the length of the ladder is 10 m. Reason (R) : The ladder makes an angle of 60∘60^\circ with the ground.

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  4. Question 4

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

    35
    Medical check-up was carried out for 35 students of a class and their weights were recorded as follows :
    Weight (in kg)38-4040-4242-4444-4646-4848-5050-52
    Number of Students32451443
    Find the difference between the mean weight and the median weight.

  5. Question 5

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

    8
    The mean of five numbers is 15. If we include one more number, the mean of six numbers becomes 17. The included number is :

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