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Home Test Prep GMAT Section 2 Quantitative

Test Prep GMAT Section 2 Quantitative Exam Practice Questions (P. 4)

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Question #31
A Cuban cigar would cost 1 dollar less than 1.5 times a French cigar, had the French cigar cost 0.7 dollar less than it does now. An Arabian cigar costs 50 cents more than 1.5 times the Cuban cigar. The three cigars together cost 74.7 dollars. What is the price of the French cigar?
  1. A
    16.7$.
  2. B
    23$.
  3. C
    25.5$.
  4. D
    35$.
  5. E
    37.4$.

Correct Answer:
A
Sign the French cigar as X. The Cuban cigar is 1.5(X-0.7) - 1.
The Arabian cigar is 1.5[1.5(X-0.7)-1] + 0.5.
The sum of all the three is 74.7. The correct answer is A.

Question #32
Ashley paid 5 dollars for 1 notebook and 1 pencil. If both prices were integers, how many pencils did Ashley buy if she paid 93 dollars for the pencils and for 15 notebooks?
  1. A
    6.
  2. B
    16.
  3. C
    18.
  4. D
    21.
  5. E
    26.

Correct Answer:
D
One notebook can cost 1, 2, 3 or 4 dollars. Subtract 15 times each price from 93, and check if what you get is divisible by 5 minus the price of the notebook. The number could be 24, 21 or 33. The correct answer is D.

Question #33
The sum of the ages of 22 boys and 24 girls is 160.What is the sum of ages of one boy plus one girl, if all the boys are of the same age and all the girls are of the same age, and only full years are counted?
  1. A
    5.
  2. B
    6.
  3. C
    7.
  4. D
    8.
  5. E
    9.

Correct Answer:
C

Changing the equality: 22X + 24Y = 160, we get: X=
Since X must be a positive integer, Y must be smaller than 7. The numerator will be 11, 22, 33, 44 etc. Y must be 3 and X=3. X+Y = 7. The correct answer is C.

Question #34
X percents of the rooms are suits, and Y Percents of the rooms are painted light blue?
Which of the following best represents the least Percentage of the light blue painted suits?
  1. A
    X-Y.
  2. B
    Y-X + 100.
  3. C
    100X-Y.
  4. D
    X+Y-100.
  5. E
    100-XY.

Correct Answer:
D
D shows us the difference between the sum of the percentages and 100 percent. If X+Y>100, this percent must be subtracted from the sum X+Y in order to get
100 percent. Sum of sets minus the total equals the congruence. The correct answer is D.

Question #35
David bought 13 BMW cars for a total price of 1,105,000 dollars. If he wants to make a profit of 39,000 dollars in the deal, at what price should he sell one car?
  1. A
    85,000$.
  2. B
    88,000$.
  3. C
    94,000$.
  4. D
    124,000$.
  5. E
    139,000$.

Correct Answer:
B
The buying price for one car is 1,105,000 / 13 = 85,000. The wished for a car is 39,000 / 13 = 3,000. So the selling price must be 85,000 + 3,000. The correct answer is B.

Question #36
Loren bought a roll of cloth and sold it for a 5% profit based on the selling price. If Lorens profit was $45.5 total on the cloth, how much did it cost her to buy the cloth?
  1. A
    $455.
  2. B
    $525.5.
  3. C
    $675.
  4. D
    $810.5.
  5. E
    $864.5. E

Correct Answer:
Explanation
5% of the total price of the cloths is 45.5 dollars, multiply this number to get the entire 100% of the total selling price: (45.5 x 20 = $910). Now subtract the profit
$45.5 to get the cost: 910-45.5=$864.5. The correct answer is E.

Question #37
In a recent tender, X people participated. 35% of the X people, who made an offer won the specific tender they participated in. 70% of the rest, were disappointed from the result of the tender. Which of the following expressions represents the number of people who werent disappointed although they didnt win the tender?
  1. A
    39X/200.
  2. B
    25X/50.
  3. C
    19.5X/200.
  4. D
    35X/250.
  5. E
    90X/200.

Correct Answer:
A
65X/100 is the number of people who didnt win the tender. 30% of that number is the number of people who werent deeply disappointed about the fact that they didnt win. 30 x (65X/100) /100 = 19.5/100 = 39/200. The correct answer is A.

Question #38
What is 0.01 x 5 x 0.03 in terms of percent?
  1. A
    15%
  2. B
    1.5%
  3. C
    0.15%
  4. D
    0.015%
  5. E
    0.0015% C

Correct Answer:
Explanation
Since 0.01 and 0.03 each have 2 decimal places, their product must have 4 (2 + 2) decimal places. Because 1 x 3 x 5 is 15, you need to add 2 zeros to get the correct number of decimal places, so the product of 0.01, 5 and 0.03 is 0.0015. To change a decimal to a percentage you multiply by 100 and move the decimal point 2 places to the right, so 0.0015 is 0.15%. The correct answer is C.

Question #39
In a barrel of juice there is 30 liters; in a barrel of beer there are 80 liters. If the price ratio between barrels of juice to a barrel of beer is 3:4, what is the price ratio between one liter of juice and one liter of beer?
  1. A
    3:2.
  2. B
    2:1.
  3. C
    3:1.
  4. D
    4:3.
  5. E
    3:4.

Correct Answer:
B
Pick numbers: a barrel of beer costs $40 and a barrel of juice costs $30 according to the given ratio. One liter of beer will cost $0.5 and one liter of juice will cost
$1. Therefore, the price ratio is 2:1. The correct answer is B.

Question #40
From the starting point in a boat race, one competitor started to sail north at a speed of 1.6 Km/h, the other competitor started to sail west at a speed of 1.2 Km/h.
What is the distance in Km between the two competitors after 5 hours?
  1. A
    10.
  2. B
    12.
  3. C
    12.5.
  4. D
    14.
  5. E
    15.4.

Correct Answer:
A
One is going north and the other is going west. The distance can be calculated using the Pythagorean theorem. One made a distance of 1.6 x 5 = 8 Km, The second one did 1.2 x 5 = 6 Km. The distance between them is the square root of (64 + 36) = 10 Km. The best answer is A.

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