Each of the following question is followed by two statements.

What is the sum of $3$ real numbers?

(I) The product of the numbers is $630$.

(II) The average of the numbers is $30$.

Each of the following question is followed by two statements.

If ${\mathrm{C}}_1$ and ${\mathrm{C}}_2$ are the circumferences of the outer and inner circles respectively. What is ${\mathrm{C}}_1:{\mathrm{C}}_2?$

(I) The two circles are concentric

(II) The area of the ring is $\frac{2}{3}$ the area of greater circle

Each of the following question is followed by two statements.

Is $\mathrm{x} = \mathrm{z}? \mathrm{x}, \mathrm{y}, \mathrm{z}$ are real numbers.

(I) $\mathrm{x} - 2\mathrm{z} = \mathrm{z} - 2\mathrm{y}$

(II) $\mathrm{x} -\mathrm{y}=\mathrm{y}-\mathrm{z}$

Each of the following question is followed by two statements.

What is the middle number of $7$consecutive whole numbers?

(I) Product of the numbers is $702800$

(II) Sum of the numbers is $105$

Each of the following questions is followed by two statements.

What is the height of the triangle $\mathrm{ABC}$? 

(I) BC is the base and the sum of the sides is $15 \mathrm{cm}$

(II) The ratio of the sides $\mathrm{BC}, \mathrm{CA}$ and $\mathrm{AB}$ is respectively $2 : 2 : 1$.

Each of the following question is followed by two statements.

What is the per cent rate of interest per annum on an investment of $₹12,500$?

(I) The income from simple interest is$₹5,000$in $4$ years.

(II) The compound interest for $2$ years is more than the simple interest for the same period by $₹500 ?$

A trader sold an article at $₹625$ . What is his profit percentage?

(I) He gained $₹600$ by selling $8$ such articles.

(II) The cost price of the article is $₹545$ and transportation cost is $₹5$ each.

Each of the following question is followed by two statements.

An amount yields its $\frac{2}{5}$ as simple interest for $4$years. What is the principal?

(I) The rate of interest is $20\%$.

(II) The interest for $2$years is $₹720$.

The following question is followed by two statements.

Total marks obtained by $\mathrm{P}, \mathrm{Q}, \mathrm{R}$ and $\mathrm{S}$ in Mathematics is $360$. How many marks did $\mathrm{P}$ secure in Mathematics?

(I) $\mathrm{P}$ secured one-third marks of the total of$\mathrm{Q}, \mathrm{R}$and$\mathrm{S}$.

(II) Average marks obtained by $\mathrm{Q}$ and$\mathrm{R}$ are $20$more than that secured by $\mathrm{S}$.