if a+b+c=7 and a³+b³+c³-3abc=175, then what is the value of (ab+bc+ca)?

Directions: The Pie chart given here represents the domestic expenditure of a family in per cent. Study the chart and answer the following questions if the total monthly income of the family is ₹ 33,650.

A: Expenditure on food

B: Expenditure on house-rent

C: Expenditure on entertainment

D: Expenditure on education and maintenance of children

E: Medical and miscellaneous expenditure

F: Deductions towards provident fund

The annual savings in the form of provident fund would be

The lengths of the three sides of a right-angled triangle are (x - 1) cm, (x +1) cm and (x + 3) cm, respectively. The hypotenuse of the right-angled triangle (in cm) is:

4 boys and 3 girls spent Rs. 120 on an average, of which boys spent Rs. 150 on the average. Then the average amount spent by the girls is.

What can be the maximum number of common tangent, which can be drawn to two non-intersecting circles? 

ABCD is a rhombus whose one angle is 60°.Find the ratio of the lengths of its diagonal?

Directions: Study the following data and answer the questions. 

The score of students of a class are given as follows :

Number of students whose IQ score is 140 is

The ratio of the square of a number and the inverse of its cube is 243/16807. what is the number?