The sum of the digits of a two-digits numbers is 12 and when the digits of the to digit number are interchanged, the new…

The value of $${\text{0}}{\text{.}}\overline 2 + {\text{0}}{\text{.}}\overline 3 + {\text{0}}{\text{.}}\overline {32} …

The smallest number of four digits which on division by 4, 6, 10 and 15 leaves a remainder 2 in each case is:

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

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

P is a prime number and (P<sup>2</sup> + 3) is also a prime number . The no. of numbers that P can assume …

Two positive whole numbers are such that the sum of the first and twice the second number is 8 and their difference is 2…

A number is doubled and 9 is added, If the resultant is tripled, it becomes 75. What is the number ?