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Mixed skills
10 original practice questions · Untimed · Fractions and exact decimals accepted
1. Of 36 employees, 18 attend workshop A, 15 attend B, and 6 attend both. How many attend neither?
gmat-counting-1-12. An item costing $300 is marked up by 35%, then its marked price is discounted by 20%. What is its final selling price in dollars?
gmat-percent-money-1-13. Positive quantities satisfy A:B=2:3 and B:C=4:5. If A+B+C=140, what is A?
gmat-proportional-models-4-24. A vehicle travels for 2 hours at 33 km/h and 3 hours at 53 km/h. What is its average speed, in km/h?
gmat-rates-1-15. If (x + 8)/5 = 22/5, what is x?
gmat-fractions-4-26. What is the remainder when 63² is divided by 5?
gmat-number-properties-4-47. A conveyor belt moves at 45 kilometers per hour. What is its speed in meters per second?
gmat-rates-4-18. 25 liters of a 20% salt solution loses only water through evaporation until its concentration is 25%. How many liters evaporated?
gmat-conservation-models-2-39. A factory produces 1200 units in a month. Output increases by 25% in each of the next two months. Final output is what percent of the original output?
gmat-percent-money-4-110. A cyclist spends equal amounts of time at 34 km/h and 50 km/h. What is the average speed for the trip, in km/h?
gmat-rates-2-3Answers & reasoning
1. 9 · Choice C
Count at least one workshop by subtracting the overlap once. The union is 18+15−6 = 27. Subtract from 36 to obtain 9 attending neither.
gmat-counting-1-12. 324 · Choice A
A 35% markup multiplies cost by 1.35. A 20% discount multiplies the marked price by 0.80. The combined factor is 1.08, giving $324.
gmat-percent-money-1-13. 32 · Choice D
Scale A:B to 8:12 and B:C to 12:15, so A:B:C=8:12:15. The total has 35 ratio units, each worth 4. A has eight units and equals 32.
gmat-proportional-models-4-24. 45 · Choice E
Total distance is 2(33) + 3(53) = 225 km. Total time is 5 hours. Average speed is 45 km/h.
gmat-rates-1-15. 14 · Choice D
Multiply both sides by 5. This gives x + 8 = 22. Subtract 8 to obtain x = 14.
gmat-fractions-4-26. 4 · Choice B
63 leaves remainder 3 when divided by 5. Its square has the same remainder as 3² = 9. The remainder of 9 divided by 5 is 4.
gmat-number-properties-4-47. 25/2 · Choice C
One kilometer is 1000 meters; one hour is 3600 seconds. Multiply km/h by 1000/3600 = 5/18. The speed is 25/2 meters per second.
gmat-rates-4-18. 5 · Choice E
The salt amount is 5 liters-equivalent. Final volume is 5/0.25=20. Water lost is 25−20=5.
gmat-conservation-models-2-39. 625/4 · Choice B
Each increase multiplies output by 1.25. The two-period factor is 1.25² = 1.5625. As a percent of the original this is 156.25%, or 625/4 percent.
gmat-percent-money-4-110. 42 · Choice B
Let each time interval be t. Total distance is t times the sum of the speeds, and total time is 2t. The average is (34+50)/2 = 42.
gmat-rates-2-3Original parameterized practice, independently checked by computation. Educator review pending. Not an official exam paper.