The sum of the numerator and denominator of a positive fraction is 11. If 2 is added to both numerator and denominator, …

If two numbers are each divided by the same divisor, the remainder are respectively 3 and 4. If the sum of two numbers b…

The remainder of $$\frac{{{{39}^{97!}}}}{{40}}$$ is :

Let N = 1421 × 1423 × 1425. What is the remainder when N is divided by 12?

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

When an integer K is divided by 3 the remainder is 1, and when K + 1 is divided by 5, The remainder is '0'. Of the fo…

What will be the unit digit in the 7<sup>105</sup> ?

If a and b are two distinct natural numbers, which one of the following is true ?