J P Mohindru and Bharat Mohindru Solutions for Chapter: Real Numbers, Exercise 7: COMPETITION FILE

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

If the 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 $b=x{y}^3; x, y$ 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 $q=a^{3}b; a, b$ being prime numbers, then $LCM(p, q)$ is

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) is:

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