Find the remainder when 54<sup>124</sup> is divided by 17.

If the difference between the reciprocal of a positive proper fraction and fraction itself be $$\frac{{17}}{{72}}$$ , t…

A number when divided by 14 leaves reminder of 8, but when the same number is divided by 7, it will leave the remainder …

In an examination, a student scores 4 marks for every correct answer and losses 1 mark for every wrong answer. A student…

If in a three digits number the last two digits places are interchanged a new number is formed which is greater than the…

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 multiplying a number by 7 all the digit in the product appear as 3's , the smallest such numbers is -

Find the least number of five digits which is divisible by 333 ?