Arihant Expert Team Solutions for Exercise 1: Practice Questions

If $1^2+2^2+3^2+......+x^2=\frac{x(x+1)(2x+1)}{6}$ then, the value of $1^2+3^2+5^2+.....+{19}^2$ is:

On dividing a certain number by $357$, the remainder is $39$. On dividing the same number by $17$, what will be the remainder?

Each member of a picnic party contributed twice as many rupees as the total number of members and the total collection was $3042$. The number of members presents at the party was:

A number consists of two digits. If the digits interchange places and the new number is added to the original number, the resulting number will be divisible by:

A $85 m$ long rod is divided into two parts. If one part is $\frac{2}{3}$ of the other part, then the length of the longest part (in $m$) is:

The unit's place digit in ${3127}^{173}$ will be:

The sum of all the natural numbers between $100$ and $200$ which are multiple of $3$ is:

A number is divided by $899$ leaves a remainder of $63$. If the same number is divided by $29$, the remainder will be?