Quantitative Aptitude - Arithmetic Ability Questions

If the ratio of the angle bisector segments of the two equiangular triangles are in the ratio of 3:2 then what is the ratio of the corresponding sides of the two triangles?

Divide 3740 in three parts in such a way that half of the first part, one-third of the second part and one-sixth of the third part are equal.

Find the odd words/letter/number from the given alternatives:

What is the slope of the line perpendicular to the line passing through the points (-5 , 1) and (-2 , 0)?

√[(1 ­ sinA)/(1 + sinA)] is equal to?

The sum of 2xy(3x + 4y - 5z) and 5yz(2x - 3y) is

If x = a cosθ+ b sinθ and y = b cosθ- a sinθ, then x2 + y2 is equal to

If x1x2x3 = 4(4 + x1 + x2 + x3 ), then what is the value of [1/(2 + x1 )] + [1/(2 + x2 )] + [1/(2 + x3 )]?