1. An investor receives interest on two simple-interest investments, one at 2.5% annually, and the other at 1.5% annually. The two investments together earn $460 annually. If the amount invested at 2.5% is $10,000, how much money is invested at 1.5%?

2. Twice the sum of three consecutive integers is 42 more than twice the sum of the first and third integer. Find the value of the second integer.

3. A sporting goods store marks up the price of an exercise bike from its original cost. What percent of the selling price is the markup? (1)The selling price of the exercise bike is $450. (2)The markup on the exercise bike is 25% of the original cost.

4. A chemist is making a 50% alcohol solution. How many milliliters of distilled water must the chemist add to 1,000 milliliters of a 70% alcohol solution to obtain a 50% solution?

5. Member of a club are electing a president, a vice-president, and a treasurer. If each club member is eligible for each position and no one can hold two positions, is the number of possible different outcomes greater than 900? (1)The number of members in the club is greater than 10. (2)After a president is elected, there are 11 members left from which to choose the other two positions.

6. A 24-pound mixture of nuts contains peanuts, pecans, and almonds by weight in the ratio 5:2:1, respectively. What is the amount, in pounds, of pecans in the mixture?

7. A collection of 33 U.S. coins amounts to $4.35. If the collection consists of only dimes and quarters and contains no rare coins, how many dimes are in the collection?

8. A bank offers its business customers two different plans for monthly charges on checking accounts. With Plan A, the account holder pays a fee of $0.15 per check processed during the month with no monthly service charge on the account. With Plan B, the account holder pays a $10.00 monthly service charge with a fee of $0.05 per check processed during the month. Find the break-even point for the two plans. That is, find the number of checks processed per month for which the costs of the two plans are equal.

9. Helene and Yannick both swam in the indoor pool at the YOLO Fitness Gym today. Helene swims at YOLO Fitness Gym every 12 days. Yannick swims there every 15 days. If both continue with their regular swimming schedule at YOLO Fitness Gym, the next time both will swim there on the same day is in how many days?

10. Two vehicles leave the same location at exactly the same time, one traveling due west at r miles per hour and the other traveling due east at r + 20 miles per hour. In terms of r and d, what is t, the number of hours for the two vehicles to be d miles apart?

11. If the sum of two numbers is 30 and their product is 224, what is the greater number?

12. For which of the following numbers would division by 8 result in a remainder of 0?
I.27,531,808
II.19,999,064
III.21,750,548

13. A candy store owner mixes candy that normally sells for $15.00 per pound and candy that normally sells for $22.50 per pound to make a 90-pound mixture to sell at $18.00 per pound. To make sure that $18.00 per pound is a fair price, how many pounds of the $15.00 candy should the owner use?

14. Working alone, Angus can paint two rooms in 5 hours. Dimitri working alone can do the same job in 3 hours. If Angus and Dimitri work together, how much time, in hours, should it take them to paint the two rooms?https://www.fatskills.com/images3/gmat/f0396-01.jpg'

15. Elaine is twice as hold as Trevor. In five years, Trevor will be as old as Elaine. How old, in years, will Trevor be in five years?

16. What is the value of a₁₀₀ if a_n = a₁ + (n – 1)d? (1)a₅ = 30 (2)a₂₀ = 105

17. A rhombus has sides of length 20 inches, and the measure of one interior angle is 150°. What is the area of the rhombus in square inches?

18. Is the prime number x a factor of 48? (1)x is a factor of 10. (2)x is a factor of 28.

19. Two vehicles leave the same location at exactly the same time, the first traveling due west and the second traveling due east. In how many hours will the two vehicles be 390 miles apart? (1)The average speed of the first vehicle is 10 miles per hour faster than the average speed of the second vehicle. (2)When the two vehicles are 390 miles apart, the second vehicle has gone a distance of 180 miles.

20. Two jars of the same brand of blueberry jam have cylindrical shapes. One jar is twice the height of the other jar, but its diameter is one-half the diameter of the shorter jar. What is the ratio of the volume of the taller jar to the volume of the shorter jar?

21.
For a and b shown above, which of the following expressions represents the greatest common factor of a and b?

22. In triangle ABC, the measure of ∠A is 25 degrees more than the measure of ∠B, and the measure of ∠C is 9 degrees less than twice the measure of ∠B. What is the measure of the largest angle?

23. Given consecutive integers a, b, and c, is c > 40? (1)a + b + c = 126 (2)a < b < c

24. In a social club, the number of members is 56. How many female members are in the club? (1)The ratio of male members to female members in the club is 3 to 5. (2)If four additional male members are recruited to the club while the number of female members remains unchanged, the ratio of male members to the number of members in the club will be 5 to 12.

25. How high up the wall will the wire reach? (1)The wire is anchored on the ground 9 feet from the base of the wall. (2)The wire is 15 feet long.