Quantitative Aptitude - Arithmetic Ability Questions

The point P(3,­-2) divides the segment joining the points (x,0) and (0,y) in the ratio 1:3. Find x and y?

In a bag, the ratio of red balls to green balls is 4:9. If 7 more red balls are added to the bag, the ratio of red balls to green balls will become 5:6. How many green balls are there in the bag?

How many numbers are there from 300 to 650 which are completely divisible by both 5 and 7?

D and E are points on side AB and AC of ΔABC. DE is parallel to BC. If AD:DB = 2:3 and area of ΔABC is 100 sq cm, what is the area (in sq cm) of quadrilateral BDEC?

If 3:27 :: 5:?

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

What is the value of cos 11π/6?

If x = (a/b) + (b/a), y = (b/c) + (c/b) and z = (c/a) + (a/c), then what is the value of xyz – x2 – y2 – z2?