Class 10 Mathematics (Standard) 2025 Board Exam

If $\text{HCF}(98,28)=m$ and $\text{LCM}(98,28)=n$, then the value of $n - 7m$ is :

If $(-1{)}^n+(-1{)}^8=0$, then $n$ is :

Which of the following is a rational number between $\sqrt{3}$ and $\sqrt{5}$ ?

Prove that $\frac{1}{\sqrt{5}}$ is an irrational number.

The greatest number which divides $70$ and $125$, leaving remainders $5$ and $8$ respectively, is :

Three sets of Physics, Chemistry and Mathematics books have to be stacked in such a way that all the books are stored subject-wise and the height of each stack is the same. The number of Physics books is $144$, the number of Chemistry books is $180$ and the number of Mathematics books is $192$. Assuming that the books are of same thickness, determine the number of stacks of Physics, Chemistry and Mathematics books.

Prove that $\sqrt{5}$ is an irrational number.

The least number which is a perfect square and is divisible by each of $16,20$ and $50$, is :

The sum of the exponents of prime factors in the prime factorisation of $4004$ is :

The HCF of $40,110$ and $360$ is :