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1. If 4x + 2 y = 27 then 24x + 12 y is equal to • 27
• 162 • 189
• 216
• none of these
Answer: 162 2. If x + y =15 and3 x  y =9, then x  y is equal to • 21
• 3
• 15
• 0
• 3
Answer: 3 3. If x is negative and (x  3)^{2} = 64, then x^{3} is equal to • 11
• 125 • 67
• 1331
• 5
Answer: 125
4. If x is negative and (x  3)^{2} = 81 , then x^{2} is equal to • 6
• 12
• 144
• 36 • 84
Answer: 36 5. Last month, Mr. Anderson spent 6 % of his salary to pay his electricity bill, 14 % to pay his phone bill, and 50 % for general monthly expenses. If his salary is 2100 $ , then his savings last month was • 1050$
• 294$
• 630 $ • 1470$
• 126$
Answer: 630 $ 6. If the base of a triangle is decreased by 40 %, and its height is increased by 40 %, then the area of the triangle • decreases by 64%
• increases by 40%
• decreases by 40%
• decreases by 16% • remains unchanged
Answer: decreases by 16% 7. After work, Mr. White drove 9 miles west, then 5 miles south, andfinally 3 miles west to meet his sister. What is the shortest distancein miles from Mr. White's workplace to his sister's home? • 17
• 15
• 13 • 19
• cannot be determined
Answer: 13 8. The arithmetic mean of 5, 15, and n is 19. What is the value of n? • 20
• 39
• 19
• cannot be determined
• 37
Answer: 37 9. There are 840 animals on a farm. Threefourths of them are cows. Of the cows, about 30% are white. How many cows on the farm are not white? • 189
• 630
• 210
• 588
• 441
Answer: 441 10. A large water reservoir has two outlet pipes, a small one and a large one. It takes 9 hours to empty the reservoir when only the small outlet pipe is open. It takes 4 hours to empty the reservoir when only the large outlet pipe is open. About what fraction of the reservoir will be emptied in one hour if both the pipes are open? • 0.25
• 0.14
• 0.36 • 0.11
• cannot be determined
Answer: 0.36 11. A gas cylinder has two vents, V1 and V2, for discharge. The cylinder empties in 7 minutes when only vent V1 is open. The cylinder empties in 4 minutes when both vent V1 and vent V2 are open. About how many minutes will the cylinder take to empty if only vent V2 is open? • 0.33
• 3.00
• 2.55
• 9.33 • cannot be determined
Answer: 9.33 12. Mr. Kennedy bought 3 shares of ABC Inc. in s at a price of $ 6 for each share. He sold all these shares yesterday for 80% more than he paid for them. If he has to pay a tax of 30% on the gain, how many dollars does he pay as tax? • 5
• 14
• 1
• None of these
• 4
Answer: 4 13. Of the S students enrolled in a Programming Course, 80% take the Certification Examination. 50% of the students who take the Certification Examination pass it. In this Certification Examination, students who pass the examination are what percent of the students enrolled in the Programming Course? • 0.50S
• 50
• 0.40S
• 80
• 40
Answer: 40 14. The length of the line segment connecting point A (3, 14) and point B (11,8) is • 6
• 14
• 8
• 10 • 100
Answer: 10 15. If a line segment is drawn connecting point A (3, 6) and point B (15, 18), then the coordinates of the midpoint are • (18,24)
• (6,6)
• (12,12)
• (6,6) • (24,18)
Answer: (6,6) 16. A piece of equipment consumes c cents per hour of fuel and requires d dollars per hour for other operational costs. What is the cost in dollars of operating the equipment for 500 hours? • 5 (c + d)
• 500 c + 5 d
• 500(c + d)
• 5c +500d • 0.01 c + d
Answer: 5c +500d 17. A university has 5000 graduate students. The number of undergraduate students is 8 / 7 times the number of graduate students. What fraction of the students in the University are undergraduates? • 8/7
• 7/15
• 15/8
• 15/7
• 8/15
Answer: 8/15 18. If f(x, y) = 2 y  x^{2} where x and y are real numbers, then f( f(3,4 ), 4) is equal to • 1
• 7
• 7 • 9
• 1
Answer: 7 19. Pineapples cost30 cents each, whereas pears cost 80 cents a dozen. A litre of fruit punch requires 1/3 of a pineapple and 4 pears. How many dollars will it cost to make 2 litres of fruit punch? • 0.73 • 6.60
• 0.60
• 0.37
• None of these
Answer: 0.73 20. Mr. Haqim drove from Hat Hill to Capsville in 80 minutes at an average speed of 50miles per hour. In about how many minutes should he make the return journey so that his average speed for the entire journey is 60 miles per hour? • 96
• 112
• 133
• 53 • cannot be determined
Answer: 53 21. A particular model of an airconditioner cost 500$ five years ago. The same model costs 700$ today. By what percent has the cost increased? • 107
• 7
• 40 • 140
• 105
Answer: 40 22. If a / b =4/ 5, then b^{3} / a^{3} is equal to • 64/125
•  64/125
• 125/64 • 125/ 64
• 25/16
Answer: 125/64 23. If a and b are both odd numbers, then which of the following must be an odd number ? • ab • a + b
• 2a + b + 1
• ab + 1
• a + b + 2
Answer: ab 24. If a is an odd number and b is an even number, then which of the following must be an even number ? • 2a + b • a + b
• 2b + a
• ab + 1
• a + b + 2
Answer: 2a + b 25. Consider a square with side of length a, and an an isosceles right triangle with one side of length a and hypotenuse of length b. What is the sum of the areas of the square and the triangle? • 2a^{2}/3
• 3a^{2}/2 • a^{2} + ab/2
• a^{3}b/2
• 2a^{3}b
Answer: 3a^{2}/2
Try the Quiz : GRE Test Prep : Discrete Quantitative Comparison
