Number System

111,111,111 is divisible by ,

If all the numbers from $5$ to $80$, which are divisible by $5$ are written in descending order, then which of the numbers will occupy ${11}^{th}$ place from the top ?

The sum of two consecutive odd number is always divisible by:

The least perfect square number which is divisible by$3,4, 5, 6$ and $8$ is_____.

 Which of the following number is always divisible the difference between the squares of two consecutive odd integers ?

Which of the following number is irrational number?

Find the L.C.M of $0.5, 2.1$and $2.8$.

Which of the following is the correct statement?

It is given that the number $43361$ can be written as a product of two distinct prime numbers $p_1, p_2.$ Further, assume that there are $42900$ numbers which are less than $43361$ and are co-prime to it. Then, $p_1+p_2$ is

Let $a_1,a_2,a_3,a_4$ be real numbers such that $a_1+a_2+a_3+a_4=0$ and $a_1^2+a_2^2+a_3^2+a_4^2=1.$ Then the smallest possible value of the expression ${\left(a_1-a_2\right)}^2+{\left(a_2-a_3\right)}^2+{\left(a_3-a_4\right)}^2+{\left(a_4-a_1\right)}^2$ lies in the interval
 

In the blow examples  which one is symmetric but not reflexive and transitive for set $A=\left(2,3,5\right)$. 

Find the HCF of : $\frac{1}{2}$, $\frac{3}{4}$,$\frac{5}{6}$, $\frac{7}{8}$ and $\frac{9}{10}$.

What will be the H.C.F. of $\frac{4}{5}$, $\frac{3}{10}$ and $\frac{7}{15}$

Find the LCM of : $\frac{8}{21}$ and $\frac{6}{35}$

The H.C.F. of the fractions $\frac{8}{21},\frac{12}{35}$ and $\frac{32}{7}$ is

Find the Lowest Common Multiple(L.C.M) of : $\frac{3}{5}$ and $\frac{7}{10}$.

Find the HCF of $\frac{8}{21}$and $\frac{6}{35}$

The sum of two given numbers $\mathrm{P}$ and $\mathrm{Q}$ is $56 .$ Their L.C.M, H.C.F is $96$ and $8$ respectively. Find the sum of $\frac{1}{\mathrm{p}}+\frac{1}{\mathrm{Q}}$

Find the LCM of following three fractions: $\frac{36}{225},\frac{48}{150},\frac{72}{65}$

The two given numbers $\mathrm{A}$ and $\mathrm{B}$ are in the ratio $5:6$ such that their LCM is $480$. Find their HCF.