Quantitative Aptitude - Arithmetic Ability Questions

If Sin 31° = xy, then the value of Sec 31° - Sin 59° is

∆ABC is right angled at B. If m∠A = 30°, then find the value of (sinC + 1/3).

Δ LMN is right angled at M. If m∠N = 45°, what is the length of MN (in cm), if NL = 9√2 cm?

Find the maximum area of a rectangular field which is surrounded by a rope of 100 meters?

If P = 7 + 4√3 and PQ = 1, then what is the value of (1/P2) + (1/Q2)?

In the given figure, CD and AB are diameters of circle and AB and CD are perpendicular to each other. LQ and SR are perpendiculars to AB abd CD respectively. Radius of circle is 5 cm, PB : PA = 2 : 3 and CN: ND = 2 : 3. What is the length (in cm) of SM ?

The first and last terms of an arithmetic progression are 23 and ­42. What is the sum of the series if it has 14 terms?

A sum fetched a total simple interest of Rs 1200 at the rate of 7.5%/yr in 4 years. What is the sum (in Rs)?