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Class 10 · Mathematics · Easy

What is the HCF of 24 and 36?

Class 11 · Mathematics · Medium

What is the highest power of 10 in 40!?

Class 11 · Mathematics · Hard

What is the smallest positive integer n for which n! is divisible by 2^9 × 3^3 × 5^2?

Class 9 · Mathematics · Expert

Which of the following rational numbers will have a non-terminating recurring decimal expansion?

Class 9 · Mathematics · Expert

Ravi says that if, in simplest form, a fraction has only 2 and 5 as prime factors of its denominator, then its decimal expansion terminates. Which of the following fractions is an example supporting his statement?

Class 9 · Mathematics · Expert

Which option is correct about the decimal expansion of \(\frac{13}{2^2\times5\times7}\)?

Class 9 · Mathematics · Expert

Which of the following rational numbers has a terminating decimal expansion?

Class 9 · Mathematics · Expert

Why is the decimal expansion of \(\frac{5}{6}\) not terminating?

Class 9 · Mathematics · Expert

If p/q is a rational number and p and q are coprime, when will its decimal expansion terminate?

Class 9 · Mathematics · Expert

Which of the following rational numbers will have a terminating decimal expansion?

Class 9 · Mathematics · Expert

Which statement is correct about the decimal expansion of \(\frac{13}{40}\)?

Class 9 · Mathematics · Hard

In the proof of √3, 3 | h² implies 3 | h. Which broader principle does this illustrate?

Class 9 · Mathematics · Expert

Which of the following numbers can be proved irrational using its prime factorisation?

Class 9 · Mathematics · Expert

If (h) is not divisible by (3) and (h^2=3k^2), what inconsistency appears?

Class 9 · Mathematics · Hard

What problem appears when a² = 2b² is viewed through prime factors in the proof of √2?

Class 9 · Mathematics · Hard

In a proof that \(\sqrt{3}\) is irrational, a student writes: “If \(3\mid p^2\), we can conclude only that \(p^2=3k\).” What is the correct correction needed to continue the argument?

Class 9 · Mathematics · Hard

Which idea about the exponents of prime factors explains the irrationality of √2?

Class 9 · Mathematics · Hard

For a positive integer \(n\), which statement correctly identifies when \(\sqrt{n}\) is irrational?

Class 9 · Mathematics · Medium

If a prime number has an odd exponent in the prime factorisation of a number, what can be concluded about the square root of that number?

Class 9 · Mathematics · Expert

Which of the following rational numbers will have a terminating decimal expansion when written in its simplest form?