Quantitative Aptitude - Arithmetic Ability Questions

Δ ABC is right angled at B. If m∠A = 60°, then what is the value of sec C.sin A?

The distance between the points (7,7) and (k,-5) is 13. Find k?

The point P(5,-2) divides the segment joining the points (x,0) and (0,y) in the ratio 2:5. What is the value of x and y?

If 2+aa + 2+bb + 2+cc = 4, then the value of ab+bc+caabc is

If (X/4) = (Y/5) = (Z/9), then what is X : Y : Z?

What is the value of sin (B – C) cos (A – D) + sin (A – B) cos (C – D) + sin (C – A) cos (B – D)?

If 6x + 4(2-x) > 3x -2 > 5x/2 - x/4; then value of x is

If 31x + 31y = 403, then what is the average of x and y?