PYQ Vault

Day 78: 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 3 times)

    26 (b)
    State true or false for each of the following statements and justify in each case : (i) 2×3×5×7+72 \times 3 \times 5 \times 7 + 7 is a composite number. (ii) 2×3×5×7+12 \times 3 \times 5 \times 7 + 1 is a composite number.

  2. Question 2

    Real Numbers. Asked once: 2026 (same type asked 3 times)

    21
    Find the length of the plank that can be used to measure the lengths 4 m 20 cm and 5 m 4 cm exactly, in the least time.

  3. Question 3

    Some Applications of Trigonometry. Asked once: 2023 (same type asked 3 times)

    9
    If a pole 6 m high casts a shadow 232\sqrt{3} m long on the ground, then sun's elevation is :

    Tap an option to check your answer.

  4. Question 4

    Statistics. Asked once: 2026 (same type asked 3 times)

    32
    If the median of the following distribution is 32⋅532{\cdot}5, then find the values of x and y.
    ClassFrequency
    0 – 10x
    10 – 205
    20 – 309
    30 – 4012
    40 – 50y
    50 – 603
    60 – 702
    Total40

  5. Question 5

    Statistics. Asked once: 2026 (same type asked 3 times)

    35
    An SBI health insurance agent found the following data for distribution of ages of 100 policy holders. The health insurance policies are given to persons of age 15 years and onwards, but less than 60 years.
    Age (in yrs)Number of policy holders
    15 – 202
    20 – 254
    25 – 3018
    30 – 3521
    35 – 4033
    40 – 4511
    45 – 503
    50 – 556
    55 – 602
    Find the modal age and median age of the policy holders.