PYQ Vault

Day 101: CBSE Class 10 Maths

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

  1. Question 1

    Statistics. Asked once: 2026 (same type asked 4 times)

    34 (a)
    Find mean and mode of the following frequency distribution :
    Class :10-3030-5050-7070-9090-110110-130130-150
    Frequency :68121014119

  2. Question 2

    Statistics. Asked once: 2026 (same type asked 4 times)

    35
    The mean of the following frequency distribution is 35. Find the values of xx and yy, if the sum of frequencies is 25 :
    ClassFrequency
    0-101
    10-20xx
    20-305
    30-407
    40-50yy
    50-603
    60-701

  3. Question 3

    Surface Areas and Volumes. Asked once: 2024 (same type asked 4 times)

    13
    A solid sphere is cut into two hemispheres. The ratio of the surface areas of sphere to that of two hemispheres taken together, is :

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  4. Question 4

    Triangles. Asked once: 2026 (same type asked 4 times)

    9
    In the given figure, AB∥EFAB \parallel EF. If AB = 24 cm, EF = 36 cm and DA = 7 cm, then AE equals

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  5. Question 5

    Triangles. Asked once: 2023 (same type asked 4 times)

    34 (b)
    ABCD is a parallelogram, P is a point on side BC and DP when produced meets AB produced at L. Prove that (i) DPPL=DCBL\dfrac{DP}{PL} = \dfrac{DC}{BL} (ii) DLDP=ALDC\dfrac{DL}{DP} = \dfrac{AL}{DC} (iii) If LP : PD = 2 : 3 then find BP : BC.