Question : What is the value of $\frac{(0.5)^{3}-(0.1)^{3}}{(0.5)^{2}+0.5\times 0.1+(0.1)^{2}}$?

Option 1: $0.1$

Option 2: $0.4$

Option 3: $0.5$

Option 4: $0.6$

Question : Out of the numbers 0.3, 0.03, 0.9, and 0.09, the number that is nearest to the value of $\sqrt{0.9}$ is:

Option 1: 0.3

Option 2: 0.03

Option 3: 0.9

Option 4: 0.09

Question : (0.1 × 0.01 × 0.001 × 10⁷) is equal to:

Option 1: 100

Option 2: 10^–1

Option 3: 10^–2

Option 4: 10

Question : If $\small 1^{2}+2^{2}+3^{2}+......+\ p^{2}=\frac{p(p+1)(2p+1)}{6}$, then $\small 1^{2}+3^{2}+5^{2}+......+17^{2}$ is equal to:

Option 1: 1785

Option 2: 1700

Option 3: 980

Option 4: 969

Question : If an object executes 10 oscillations per second, then its frequency in kilohertz is equal to:

Option 1: 1

Option 2: 10

Option 3: 0.1

Option 4: 0.01