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1. If 3x + 3 y = 39 then 15x + 15 y is equal to
• 39
• 195
• 234
• 273
• none of these
Answer: 195
2. If x + y =15 and2 x - y =3, then x - y is equal to
• -12
• 3
• -3
• 15
• 0
Answer: -3
3. If x is negative and (x - 4)2 = 81, then x3 is equal to
• 13
• 85
• 2197
• --5
• -125
Answer: -125
4. If x is negative and (x - 3)2 = 64 , then x2 is equal to
• -5
• 25
• 11
• 121
• 67
Answer: 25
5. Last month, Mr. Anderson spent 8 % of his salary to pay his electricity bill, 13 % to pay his phone bill, and 39 % for general monthly expenses. If his salary is 2900 $ , then his savings last month was
• 1131$
• 377$
• 1160 $
• 1740$
• 232$
Answer: 1160 $
6. If the base of a triangle is decreased by 30 %, and its height is increased by 30 %, then the area of the triangle
• decreases by 51%
• increases by 30%
• decreases by 9%
• decreases by 30%
• remains unchanged
Answer: decreases by 9%
7. After work, Mr. White drove 27 miles west, then 15 miles south, andfinally 9 miles west to meet his sister. What is the shortest distancein miles from Mr. White's workplace to his sister's home?
• 51
• 45
• 57
• cannot be determined
• 39
Answer: 39
8. The arithmetic mean of 6, 13, and n is 24. What is the value of n?
• 19
• 43
• 24
• cannot be determined
• 53
Answer: 53
9. There are 760 animals on a farm. Three-fourths of them are cows. Of the cows, about 90% are white. How many cows on the farm are not white?
• 513
• 570
• 190
• 75
• 56
Answer: 56
10. A large water reservoir has two outlet pipes, a small one and a large one. It takes 7 hours to empty the reservoir when only the small outlet pipe is open. It takes 3 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?
• 0.33
• 0.19
• 0.14
• cannot be determined
• 0.48
Answer: 0.48
11. A gas cylinder has two vents, V1 and V2, for discharge. The cylinder empties in 6 minutes when only vent V1 is open. The cylinder empties in 3 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
• 6.00
• 3.00
• 2.00
• cannot be determined
Answer: 6.00
12. Mr. Kennedy bought 10 shares of ABC Inc. in s at a price of $ 5 for each share. He sold all these shares yesterday for 60% 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?
• 15
• 30
• 3
• 9
• None of these
Answer: 9
13. Of the S students enrolled in a Programming Course, 90% take the Certification Examination. 60% 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?
• 54
• 0.60S
• 60
• 0.54S
• 90
Answer: 54
14. The length of the line segment connecting point A (--4, 22) and point B (--28,4) is
• 30
• 18
• 42
• 24
• 900
Answer: 30
15. If a line segment is drawn connecting point A (-2, 4) and point B (18, -20), then the coordinates of the midpoint are
• (20,-24)
• (-8,8)
• (16,-16)
• (--24,20)
• (8,-8)
Answer: (8,-8)
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 400 hours?
• 4c +400d
• 4 (c + d)
• 400 c + 4 d
• 400(c + d)
• 0.01 c + d
Answer: 4c +400d
17. A university has 6000 graduate students. The number of undergraduate students is 4 / 3 times the number of graduate students. What fraction of the students in the University are undergraduates?
• 4/3
• 3/7
• 4/7
• 7/4
• 7/3
Answer: 4/7
18. If f(x, y) = 2 y - x2 where x and y are real numbers, then f( f(4,5 ), 5) is equal to
• 6
• 26
• -46
• -6
• -26
Answer: -26
19. Pineapples cost30 cents each, whereas pears cost 70 cents a dozen. A litre of fruit punch requires 1/4 of a pineapple and 3 pears. How many dollars will it cost to make 6 litres of fruit punch?
• 1.50
• 13.05
• 1.85
• 0.25
• None of these
Answer: 1.50
20. Mr. Haqim drove from Hat Hill to Capsville in 105 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?
• 126
• 147
• 175
• 70
• cannot be determined
Answer: 70
21. A particular model of an air-conditioner cost 600$ five years ago. The same model costs 810$ today. By what percent has the cost increased?
• 108
• 8
• 35
• 135
• 106
Answer: 35
22. If a / b =-2/ 3, then b3 / a3 is equal to
• -27/8
• 8/27
• - 8/27
• 27/ 8
• 9/4
Answer: -27/8
23. If a and b are both odd numbers, then which of the following must be an odd number ?
• a + b
• 2a + b + 1
• ab + 1
• ab
• 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 ?
• a + b
• 2a + 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?
• 2a2/3
• a2 + ab/2
• 3a2/2
• a3b/2
• 2a3b
Answer: 3a2/2
Try the Quiz : GRE Test Prep : Discrete Quantitative Comparison
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