M L Aggarwal Solutions for Chapter: Real Numbers, Exercise 5: Objective Questions

The number $\frac{\sqrt{5}+2}{\sqrt{5}-2}$ is

If $x$ is a positive rational number which is not a perfect square, then $-5\sqrt{x}$ is

A rational number $\frac{p}{q}$, $q\ne 0$, $p \text{and} q$ are co-prime, has a terminating decimal expansion if the prime factorisation of $q$ is of the form ($m, n$ are non-negative integers)

Which of the following numbers has a non-terminating repeating decimal expansion?

The decimal expansion of the rational number $\frac{11}{2^3\times 5^2}$ will terminate after:

The decimal expansion of $\frac{6}{1250}$ will terminate after:

Show that the product of any three consecutive positive integers is divisible by $6$

Prove that one and only one of $n, n+3, n+6 or n+9$ is divisible by $4$.