3rd July Gre Quants Question

1. There is a square with side 10m. On top of the square there is one semicircle with its diameter on one side of the square (diameter length = side length). One point on the semicircle is chosen and a perpendicular is drawn on to the square which divides the side of the square in 8:2. Find the length of the perpendicular?

2. Given N= v*w*x*y*z - (v+w+x+y+z). If ‘N’ is an even integer, then how many of v, w, x, y, z will need to be even numbers?

3. If |x| ≤ 6; |y| ≤ 4, then find the greatest possible value of |x/y|?

4. The probability of raining tomorrow is 0.49.
Col A: The probability that it will rain tomorrow and George eats the food
Col B: 0.54

9. Given arithmetic mean of p, q, r as 10. If arithmetic mean of p, q, r, x is 15, then
Col A: x/2
Col B: 15