Real Number Online Quiz | Class 10 Mathematics

If x and y are positive integers then the number of ordered pairs (x, y) satisfying  xy = 2².3⁴.5⁷ (x + y) is:

How many ordered pairs (x, y) are there such that  \frac{1}{{\sqrt x }} + \frac{1}{{\sqrt y }} = \frac{1}{{\sqrt {20} }}, where both x & y are positive integers?

What is the value of the following expression

\frac{1}{{\left( {{2^2}-1} \right)}} + \frac{1}{{\left( {{4^2}-1} \right)}} + \frac{1}{{\left( {{6^2}-1} \right)}} + ..... + \frac{1}{{\left( {{{20}^2}-1} \right)}}?

4⁶¹ + 4⁶² + 4⁶³ + 4⁶⁴ is divisible by ?

The greatest number of four digits which is divisible by each one of the numbers 12, 18, 21 & 28 is

If “653xy” is exactly divisible by 80 then the value of (x + y) :

A number when divided by 342 gives a reminder 47. When the same number is divided by 19, what would be the remainder ?

If (x + y)^–1.(x^–1 + y^–1) = x^p.y^q then p + q + 2 =

What is the unit digit of 7⁹⁵ – 3⁵⁸ ?

How many values of n \in N  exist for which \sqrt {\frac{{3n-5}}{{n + 1}}} is a natural number ?