Find the least number of five digits which when divided by 40, 60, and 75, leave remainders 31, 51 and 66 respectively.

When a number is divided by 5, the remainder is 3. What will be the remainder when sum of cube of that number and square…

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

The sum of 100 terms of the series 1 - 3 + 5 - 7 + 9 - 11 .......... is:

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

The greatest value among the fractions :$$\frac{2}{7},$$ $$\frac{1}{3},$$ $$\frac{5}{6},$$ $$\frac{3}{4}$$

It is being given that (2<sup>32</sup> + 1) is completely divisible by a whole number. Which of the followin…

The sum of squares of three positive integers is 323. If the sum of squares of two numbers is twice the third, their pro…