Question : Simplify the given expression. $\frac{(381+119)^2+(381-119)^2}{(381)^2+(119)^2}$

Option 1: –1

Option 2: –2

Option 3: 1

Option 4: 2

Question : Find the value of $[49^{\frac{3}{2}}+49^{-\frac{3}{2}}]$.

Option 1: $\frac{11749}{343}$

Option 2: $\frac{117550}{343}$

Option 3: $\frac{117659}{343}$

Option 4: $\frac{117650}{343}$

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

Question : Simplify the given expression $\frac{(x+3)^3+(x-3)^3}{x^2+27}$.

Option 1: $3x$

Option 2: $x$

Option 3: $4x$

Option 4: $2x$

Question : Simplify the given expression. $\frac{(4.2)^3-0.008}{(4.2)^2+0.84+0.04}$

Option 1: 4

Option 2: –2

Option 3: 2

Option 4: –4