Find the length of a tangent, drawn to a circle of radius 4 cm, from a point which is at a distance of 5 cm from the centre?

If the perimeter of a rhombus is 80 cm and one of its diagonals is 24 cm, then what is the are (in cm²) of the rhombus?

(sinθ+cosecθ)²+(cos θ+ sec θ)²=?

Two trains are moving in the same direction at 75 km/hr. and 48 km/hr. The faster train crosses a man sitting in the slower in 14 second. Find the length of the faster train?

Two numbers are more than the third number by 20 % and 50 % respectively. Find the first number is what percent of the second number? 

If the ratio of the measurement of the four angles of a quadrilateral is 1: 2: 3: 4, then the measurement of its smallest angle is-

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

After provident fund deductions and payment of house rent, the total monthly income of the family remains

The least number which when divided by 4, 6, 8 and 9 leave zero remainders in each case and when divided by 13 leaves a remainder of 7 is: