Quantitative Aptitude - Arithmetic Ability Questions

Δ XYZ is right angled at Y. If m∠Z = 60°, then what is the value of (1/√2) Sec X?

If a + b = 10 and ab- 13 = -ba - 11, then what is the value of 3ab + 4a2 + 5b2 ?

What is the value of [sin (y – z) + sin (y + z) + 2 sin y]/[sin (x – z) + sin (x + z) + 2 sin x]?

If 2x - 2(3 + 4x) < -1 - 2x > -5/3 - x/3; then x can take which of the following values?

What are the co­-ordinates of the mid point of the segment joining points C(0,­-3) and D(8,5)?

The figure shown below consists of the tangents at the extremeties of any chord. Choose the correct option given below.

Find the value of sin230 cos245 + 4 tan230 + 1/2sin290 - 2 cos290 + 1/24

Two trees are standing along the opposite sides of a road. Distance between the two trees is 400 metres. There is a point on the road between the trees. The angle of depressions of the point from the top of the trees are 45 deg and 60 deg. If the height of the tree which makes 45 deg angle is 200 metres, then what will be the height (in metres) of the other tree?