Find the remainder when 67<sup>107</sup> is divided by 7.

The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as …

The number of prime factors in the expressions 6<sup>4</sup> × 8<sup>6</sup> × 10&lt…

Each member of a club contributes as much rupees and as much paise as the number of members of the club. If the total c…

The remainder when (12<sup>13</sup> + 23<sup>13</sup>) is divided by 11.

$$\frac{{\left[ {\left( {888 \times 888 \times 888} \right) - \left( {222 \times 222 \times 222} \right)} \right]}}{{\le…

The highest power of 17 which can divide exactly the following:<br /> (18<sup>2</sup> - 1) (18<sup&…

The remainder when 4<sup>0</sup> + 4<sup>1</sup> + 4<sup>2</sup> + 4<sup>3<…