Quantitative Aptitude - Arithmetic Ability Questions

If two flood gates A and B function simultaneously, the reservoir will be filled iu 6 hours. Gate A fills the reservoir 5 hours faster than gate B. How many hours does the faster flood gate take to fill the reservoir?

A fraction is greater than its reciprocal by 9/20. What is the fraction?

∆ABC inscribed in a circle so that BC is a diameter. The tangent at a point C intersects BA when produced at a point D. If ∠ABC=36°then the value of ∠ADCis 

The angle of elevation of the top of a tower, vertically erected in the middle of a paddy field, from two points on a horizontal line through the foot of the tower are given to be α and β (α>β). The height of the tower is h unit. A possible distance (in the same unit) between the points is

If x2+1x2 = 98, then x3+1x3 = ?

Select the odd word from the given alternatives.

If 11-13xx + 11-13yy + 11-13zz = 5 then what is the value of 1x + 1y + 1z = ?

XYZ is a right angled triangle and ∠Y = 90°. If XY = 2.5 cm and YZ = 6 cm then the circumradius of ∆XYZ is