Question : If $\left (2a-3 \right )^{2}+\left (3b+4 \right )^{2}+\left ( 6c+1\right)^{2}=0$, then the value of $\frac{a^{3}+b^{3}+c^{3}-3abc}{a^{2}+b^{2}+c^{2}}+3$ is:

Option 1: $abc+3$

Option 2: $6$

Option 3: $0$

Option 4: $3$

Question : The next term of the sequence $\left (1+\frac{1}{2} \right):\left (1+\frac{1}{2} \right) \left (1+\frac{1}{3} \right): \left (1+\frac{1}{2} \right)\left (1+\frac{1}{3} \right)\left (1+\frac{1}{4} \right): .........$ is:

Option 1: $3$

Option 2: $\left (1+\frac{1}{5} \right)$

Option 3: $5$

Option 4: $\left (1+\frac{1}{2} \right)\left (1+\frac{1}{5} \right)$

Question : The value of $\left[1 \frac{2}{7} \times\left\{3 \frac{1}{2} \div\left(\frac{1}{2}-\frac{1}{7}\right)\right\}\right] \div\left(4 \frac{1}{5} \times 1 \frac{1}{2}\right)$ is:

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

Option 2: $\frac{3}{4}$

Option 3: $2$

Option 4: $1$

Question : Solve the following.
$\left[25^2+8 \div 2^3-\left\{16+\left(28\right.\right.\right.$ of $\left.7 \div 2^2\right)-\left(18^2 \div 12^2\right.$ of $\left.\left.\left.\frac{1}{8}\right)\right\}\right]$

Option 1: 626

Option 2: 529

Option 3: 721

Option 4: 579

Question : The value of $1 \frac{2}{5}-\left[3 \frac{3}{4} \div\left\{1 \frac{1}{4} \div \frac{1}{2}\left(1 \frac{1}{2} \times 3 \frac{1}{3} \div 1 \frac{1}{3}\right)\right\}\right]$ is:

Option 1: 3

Option 2: 0

Option 3: 2

Option 4: 1