Quantitative Aptitude - Arithmetic Ability Questions

Find the value of 27a3 + 1a3, if 9a2 + 1a2 = 43

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

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

select the odd word/letters/number/number pair from the given alternatives.

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?

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

The sum of a fraction and 3 times its reciprocal is 31/6. What is the fraction?

If cosec∅+sin∅cosec∅-sin∅=53 then the value of sin∅is equal to