To write all the page numbers of a book, exactly 136 times digit 1 has been used. Find the number of pages in the book.

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

What is the sum of all two digit numbers that gives a remainder of 3 when they are divided by 7?

Find the remainder when 4<sup>96</sup> is divided by 6.

The four digit smallest positive number which when divided by 4, 5, 6 or 7, it leaves always the remainder as 3:

Which of the following fraction is the smallest ?<br> $$\frac{7}{6},\,\frac{7}{9},\,\frac{4}{5},\,\frac{5}{7}$$

Find the least number which will leaves remainder 5 when divided by 8, 12, 16 and 20.

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