If   $$ a={b^2\over b-a} $$  then the value of a³ + b³ is 

ABCD is a cycle quadrilateral and BC is diameter of the related circle on which A and D also lie. ∠BCA =19⁰ and ∠CAD=32⁰. What is the measure of ∠ACD?

Direction: The line chart given below shows number of labourers (men and women) working in six different years. Study the data carefully and answer the following questions. 

The total number of Men working in all six years is how much more/less than total number of  Women working in all six years together? 

If the height is doubled and the base is decreased by 20%, then the ratio of old area of the triangle and new area of the triangle is –

Chords AB and CD of a circle intersect externally at P. If CD = 11.6 cm, PD = 6.4 cm and PB = 7.2 cm, then AB (in cm) is equal to:

If m + n = 1, then what will be the value of m³ + n³ + 3mn?

A and B together can complete a work in 20 days. A is 20 percent more efficient than B, B alone can complete the same work in how many days?

if $$m+{1\over(m-2)}=4$$,then find the value of  $$ (m-2)^2+ \left({{1\over {m-2}}} \right)^2 \ $$