Real Numbers

CBSE Class 10 · Mathematics · 40 past questions

These are the board's own papers. 154 more board questions reprinted in the books we use in class are for signed-in students: sign in.

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Q13 2025

The sum of the exponents of prime factors in the prime factorisation of 4004 is…
Q14 2025

The HCF of 40, 110 and 360 is…
Q15 2025

If x is the LCM of 4, 6, 8 and y is the LCM of 3, 5, 7 and p is the LCM of x and y, then which of the…
Q16 2025

Find the smallest number which is divisible by both 644 and 462.
Q17 2025

Prove that $\left(5\sqrt{3}+\frac{2}{3}\right)$ is an irrational number given that $\sqrt{3}$ is an…
Q18 2025

If HCF(98, 28) = m and LCM(98, 28) = n, then the value of $n - 7m$ is…
Q19 2025

If (–1)^n + (–1)^8 = 0, then n is…
Q20 2025

Which of the following is a rational number between $\sqrt{3}$ and $\sqrt{5}$ ?
Q21 2025 (Basic)

The number $3+\sqrt{2}$ is…
Q22 2025 (Basic)

Questions number 19 and 20 are Assertion and Reason based questions. Two statements are given, one labelled…