Question : Simplify the given expression. $\frac{(80 \times 80 \times 80)+(70 \times 70 \times 70)+(50 \times 50 \times 50)-840000}{6400+4900+2500-5600-3500-4000}$

Option 1: 100

Option 2: 200

Option 3: 400

Option 4: 300

Question : Simplify the expression: $\frac{143 \times 143+143 \times 139+139 \times 139}{143 \times 143 \times 143-139 \times 139 \times 139}$

Option 1: $\frac{1}{2}$

Option 2: $282$

Option 3: $\frac{1}{4}$

Option 4: $4$

Question : Find the value of the given expression:
$\frac{(4\frac{1}{3}+3\frac{1}{3}\times 1\frac{4}{5}\div 3\frac{3}{4}\times (1\frac{1}{2}+1\frac{1}{3}))}{(\frac{2}{3}\div \frac{5}{6}\times \frac{2}{3})}$

Option 1: $11 \frac{3}{8}$

Option 2: $10\frac{1}{8}$

Option 3: $14\frac{3}{8}$

Option 4: $16\frac{5}{8}$

Question : Simplify the given expression.
$\frac{0.24 \times 0.24 \times 0.24-0.008}{0.24 \times 0.24+0.048+0.04}$

Option 1: 0.04

Option 2: 0.02

Option 3: 0.01

Option 4: 0.03

Question : The simplified value of $(0.2)^{3}\times 200\div 2000$ of $(0.2)^{2}$ is:

Option 1: $\frac{1}{100}$

Option 2: $\frac{1}{50}$

Option 3: $\frac{1}{10}$

Option 4: $1$

Question : Simplify the given expression $\frac{4\left[(17)^3-(7)^3\right]}{(17)^2+(7)^2+119}$

Option 1: 40

Option 2: 50

Option 3: 60

Option 4: 30