## GRE Quantitative Reasoning

Word Problem Set: 7

 Exercise Sets
 Question

 Answer Sheet - 7 1  2  3  4  5  6  7  8  9  10
1. Sheila works 8 hours per day on Monday, Wednesday and Friday, and 6 hours per day on Tuesday and Thursday. She does not work on Saturday and Sunday. She earns \$324 per week. How much does she earn in dollars per hour?

 11 10 9 8 7
2. ABCD is a parallelogram. BD = 2. The angles of triangle BCD are all equal. What is the perimeter of the parallelogram?

 12 9√ 3 9 8 3√ 3
3. If the product of 6 integers is negative, at most how many of the integers can be negative?

 2 3 4 5 6
4. If a positive integer n, divided by 5 has a remainder 2, which of the following must be true?

Select ALL such statements.

 n is odd n + 1 cannot be a prime number (n + 2) divided by 7 has remainder 2 n + 3 is divisible by 5
5. A solid cube of side 6 is first painted pink and then cut into smaller cubes of side 2. How many of the smaller cubes have paint on exactly 2 sides?

 30 24 12 8 6
6. The slope of the line passing through the point (5,5) is 5/6. All of the following points could be on the line except

 (2.5, 2) (11, 10) (8, 7.5) (-1, 0) (-7, -5)
7. In the figure above the square has two sides which are tangent to the circle. If the area of the circle is 4a²π, what is the area of the square?

 2a2 4a 4a2 16a2 64a2
8. A triangle has a perimeter 13. The two shorter sides have integer lengths equal to x and x + 1. Which of the following could be the length of the other side?

Select as many as are correct.

 4 6 8
9. A machine puts c caps on bottles in m minutes. How many hours will it take to put caps on b bottles?

 60bm/c bm/60c bc/60m 60b/cm b/60cm
10. Paint needs to be thinned to a ratio of 2 parts paint to 1.5 parts water. The painter has by mistake added water so that he has 6 litres of paint which is half water and half paint. What must he add to make the proportions of the mixture correct?

 1 litre paint 1 litre water 1/2 litre water and one litre paint 1/2 litre paint and one litre water 1/2 litre paint