Quantitative Aptitude - Arithmetic Ability Questions

Point A divides segment BC in the ratio 4:1. Co-ordinates of B are (6 , 1) and C are (7/2 , 6). What are the co-ordinates of point A?

Points P and Q lie on side AB and AC of triangle ABC respectively such that segment PQ is parallel to side BC. If the ratio of areas of triangle APQ: triangle ABC is 16:25. Then the ratio of AP:PB is?

Find the 4th proportional to 9, 17 and 27.

Select the odd letters from the given alternatives.

In the following question, select the odd number pair from the given alternatives.

In the following question, select the odd word from the given alternatives.

If sinA/(1 + cosA) = x, then x is

ΔPQR is right angled at Q. If tanP = 24/7, then what is the value of cosR ?