Neha Tyagi and Amit Rastogi Solutions for Chapter: Real Numbers, Exercise 1: Exercise

$n^2-1$ is divisible by $8$, if $n$ is

If the $\mathrm{HCF}$ of $65$ and $117$ is expressible in the form $65m-117,$ then the value of $m$ is

The largest number which divides $70$ and $125$, leaving remainders $5$ and $8$ respectively, is

If two positive integers $a$ and $b$ are written as $a=x^3{y}^2$ and $b=x{y}^3,$where $x, y$ are prime numbers, then $\mathrm{HCF}$ $(a,b)$ is

If two positive integers $p$ and $q$ can be expressed as $p=a{b}^2$ and $q=a^{3}b$, where $a, b$ being prime numbers, then $LCM$ $\left(p, q\right)$ is equal to

The product of a non-zero rational and an irrational number is

The least number that is divisible by all the numbers from $1$ to $10$ (both inclusive).

The decimal expansion of the rational number $\frac{14587}{1250}$ will terminate after