Quantitative Aptitude - Arithmetic Ability Questions

If D and E are points on the sides AB and AC respectively of a triangle ABC such that DE||BC. If AD = x cm, DB = (x – 3) cm, AE = (x + 3) cm and EC= (x – 2) cm, then what is the value (in cm) of x?

What is the value of {[sin (x + y) – 2 sin x + sin (x – y)]/[cos (x – y) + cos (x + y) – 2 cos x]} × [(sin 10x – sin 8x)/(cos 10x + cos 8x)]?

How many numbers divisible by 125 can be written by using all the digits 2,3,8,7,5 exactly once?

If 3x2 - ax + 6 = ax2 + 2x + 2 has only one (repeated) solution, then the positive integral solution of a is

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

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

What is the value of 13×7+17×11+111×15+...+1899×903 ?

If x+5+1x+1=6 then the value of (x+1)3+1(x+1)3 is