Quantitative Aptitude - Arithmetic Ability Questions

In an army selection process, the ratio of selected to unselected candidates was 4:1. If 90 less had applied and 20 less selected, the ratio of selected to unselected would have been 5:1. How many candidates had applied for the process?

The length of a median of an equilateral triangle is 12√3 cms. Then the area of the triangle is

If 3x + 5y + 7z = 49 and 9x + 8y + 21z = 126, then what is the value of y?

If (5/9 of x) ­- (2/5 of 9/4) equals ­ -4/5 then find x.

∆PQR is right angled at Q. If m∠R = 45°, then find the value of (cosecP - √3/2)

What is the area (in sq cm) of a circle whose circumference is 26.4 cm?

The length and breadth of a rectangle are 24 cm and 7 cm respectively. What must be the length of its diagonal (in cm)?

In the given figure, ∠QRN = 40°, ∠PQR = 46° and MN is a tangent at R. What is the value (in deg) of x, y and z respectively?