If 1 is added to the both the numerator and the denominator of a fraction, it becomes $$\frac{1}{4}$$ . If 2 is added to…

On dividing a number by 357, we get 39 as remainder. On dividing the same number 17, what will be the remainder ?

Find the remainder when 67<sup>99</sup> is divided by 7.

The sum of the digits of two-digit number is 10, while when the digits are reversed, the number decrease by 54. Find the…

$$1 + \frac{1}{2} + \frac{1}{4} + \frac{1}{7} + \frac{1}{{14}} + \frac{1}{{28}}$$      is equ…

5358 × 51 = ?

The digit in unit's place of the product -<br> $${\left( {2464} \right)^{1793}}$$   $$ \times {\left( {61…

$$\frac{1}{{10}}$$ of a rod is coloured red, $$\frac{1}{{20}}$$ orange, $$\frac{1}{{30}}$$ yellow, $$\frac{1}{{40}}$$ g…