Quantitative Aptitude - Arithmetic Ability Questions

When 2x + 2x = 3, then x3 + 1x + 2 value is

For triangle ABC, find equation of median AD if co­ordinates of points A, B and C are (2,­4), (3,0) and (5,­2) respectively?

If a + b = 10 and ab- 13 = -ba - 11, then what is the value of 3ab + 4a2 + 5b2 ?

What is the value of (4a2 + 8b + 14c + 2)/2 ?

D and E are points on the sides AB and AC respectively of ΔABC such that DE is parallel to BC and AD:DB = 4:5, CD and BE intersect each other at F. Then the ratio of the areas of ΔDEF and ΔCBF

Daily local train ticket costs Rs 30 and Monthly Pass costs Rs 670.8. If I buy the Monthly Pass and travel for 26 days in a month than I save?

28% of a number is 35. What is the number?

Point P is the midpoint of segment AB. Co-ordinates of P are (5, -1) and A are (2, -4). What are the co-ordinates of point B?