Embibe Experts Solutions for Chapter: Arithmetic, Exercise 1: Exercise 1

The number $823p2q$ is exactly divisible by $7, 11$ and $13$. What is the value of $(p - q)$?

$5^{17}+5^{18}+5^{19}+5^{20}$ is divisible by:

What is the largest power of $10$ that divides the product $1\times 2\times 3\times 4...\times 23\times 24\times 25$ ?

Find the value of:

$3-\frac { 1 }{ 4+\frac { 7 }{ 9-\frac { 5 }{ 6+\frac { 2 }{ 3 } } } } =?$

What value will come in place of the question mark (?) in the following question?

$2\frac{1}{7}+8\frac{1}{6}+5\frac{3}{4}+3\frac{3}{2}-\frac{1}{2}=?$

The decimal fraction $2.3\overline{49}$is equal to what $?$

Given $\sqrt[3]{4}, \sqrt{3,} \sqrt[6]{25}$and $\sqrt[12]{289}$The greatest and least of them are respectively.

From among $$\frac { 1 }{ { 2 }^{ 2 } } ,\frac { 1 }{ { 3 }^{ 3 } } ,\frac { 1 }{ { 8 }^{ 8 } } ,\frac { 1 }{ { 9 }^{ 9 } } $$which one is the greater.