Quantitative Aptitude - Arithmetic Ability Questions

Makarand works 2 times as fast as Samarjit. If Samarjit can complete a job alone in 27 days, then in how many days can they together finish the job?

What is the smplified value of Sin2A/1+Cos2A ?

In ΔABC, D and E are points on side AB and AC respectively. DE is parallel to BC. If lengths of AD, DB and AE are 8 cm, 4 cm and 12 cm respectively, what is the length of AC?

A can do 75% of a job in 9 days and B can do half of the job in 8 days. If they work on it together, then in how many days can they do half of the job?

When a number is increased by 69, it becomes 103% of itself. What is the number?

P is a point outside the circle at distance of 6.5 cm from centre O of the circle. PR be a secant such that it intersects the circle at Q and R. If PQ = 4.5 cm and QR = 3.5 cm, then what is the radius (in cm) of the circle?

If 4x2= 152- 92, then value of x is

If cosθ1-sinθ+cosθ1+sinθ = 4, then the value of θ (0°<θ<90°)?