Question : The value of 97 × 103 is _________.

Option 1: 7999

Option 2: 9991

Option 3: 8991

Option 4: 9981

Question : The value of 95 × 105 is:

Option 1: 9981

Option 2: 9935

Option 3: 9965

Option 4: 9975

Question : The value of $\frac{(2.53)^3+(2.47)^3}{25.3 \times 25.3-624.91+24.7 \times 24.7}$ is 5 × 10^k, where the value of k is:

Option 1: –2

Option 2: –1

Option 3: 1

Option 4: 2

Question : The value of $4 \div 12$ of $[3 \div 4$ of $\{(4-2) \times 6 \div 2\}]-2 \times 6 \div 8+3$ is:

Option 1: $4 \frac{1}{6}$

Option 2: $3 \frac{1}{3}$

Option 3: $2 \frac{1}{3}$

Option 4: $7 \frac{1}{6}$

Question : The value of $\frac{0.7× 0.7× 0.7+0.3 × 0.3 × 0.3}{0.7 × 0.7-0.7× 0.3+0.3 × 0.3}$ is_____.

Option 1: 2

Option 2: 1

Option 3: 3

Option 4: – 1

Question : What is the value of S $=\frac{1}{1×3×5}+\frac{1}{1×4}+\frac{1}{3×5×7}+\frac{1}{4×7}+\frac{1}{5×7×9}+\frac{1}{7×10}+....$ Up to 20 terms, then what is the value of S?

Option 1: $\frac{6179}{15275}$

Option 2: $\frac{6070}{14973}$

Option 3: $\frac{7191}{15174}$

Option 4: $\frac{5183}{16423}$