Quantitative Aptitude - Arithmetic Ability Questions

tan(A/2) is equal to

ΔABC is right angled at B. BD is an altitude. AD = 9 cm and DC = 16 cm. What is the value of BD (in cm)?

Select the related word/letters/number from the given alternatives.
1 : 8 :: ? :64

In what ratio is the segment joining the points (2,5) and (­6,­10) divided by the y­axis?

In an alloy of German silver the ratio of copper to zinc was 17:7 while that of nickel to zinc was 4 :3. The ratio of copper to zinc to nickel in the alloy was

If a + b + c = 9 and ab + bc + ca = 18, then what is the value of a3 + b3 + c3 – 3abc?

If cosec θ + sinθ = 5/2 then the value of cosecθ - sinθ is

The sum of 6xy(2x - 4z) , 3yz(2x - 3z) and 4xz(3y - 2y2) is