Find the remainder when<br /> 10 + 10<sup>2</sup> + 10<sup>3</sup> + 10<sup>4</su…

$$1 + \frac{1}{2} + \frac{1}{4} + \frac{1}{7} + \frac{1}{{14}} + \frac{1}{{28}}$$     is equal to :

If the sum of two numbers is 3 and the sum of their squares is 12, then their product is equal to -

The least number of five digits which is divisible by 123 ?

Find the remainder when 2<sup>256</sup> is divided by 17.

The number 0.121212 . . . . . in the form $$\frac{p}{q}$$ is equal to -

0.1 and $$\frac{5}{8}$$ of a bamboo are in mud and water respectively and the rest length 2.75 m is above water. What i…

On dividing a number by 5, we get 3 as remainder. What will the remainder when the square of the this number is divided …