GRE Quantitative Reasoning Questions

1. 3x + y = 19 , and x + 3y = 1. Find the value of 2x + 2y

2. The price of a cycle is reduced by 25 per cent. The new price is reduced by a further 20 per cent. The two reductions together are equal to a single reduction of

3. x and y are integers, x + y < 11 , and x > 6, What is the smallest possible value of x - y ?

4. If x⁵y⁴z²<0 , which of the following must be true?
Select ALL such statements.

5. BCD is a line segment and Angle BAC = 1/4 Angle ACB ; Angle ACD = ?

6. In a certain village, m litres of water are required per household per month. At this rate, if there are n households in the village, how long (in months) will p litres of water last?

7. In the figure below, what is the slope of line l ?

8. What digit appears in the units place in the number obtained when 2³²⁰ is multiplied out?

9. Radius of circle center O is 3 times the radius of circle center C. Angle ACB = Angle POQ
If the shaded area of circle C is 2 then what is the area of the shaded part of circle O ?