Quantitative Quiz-02
Quant Quiz-02
Welcome to the 'Quantitative Quiz-02'. You will have 25 questions. Instead of 50 minutes, I am giving you 60 minutes because you need to focus only on Accuracy rather than Timing.
Important Note: Please ready with your paper and pen so you can attempt without loosing focus during the Quiz.
Click on Start button below to begin the quiz. Good Luck!
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Important Note: The actual algorithm of GRE score scale is applied to this quiz.
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Question 1 |
The population of City A is three times the population of City B. Together, Cities A and B have twice the population of City C. What is the ratio of the population of City C to the population of City B?
A | 1 : 4 |
B | 1 : 2 |
C | 2 : 1 |
D | 3 : 1 |
E | 4 : 1 |
Question 2 |
A certain retailer decided to raise its prices by p%. When, as a result, its sales dropped by q%, the retailer found that its total revenue was unchanged. Which of the following correctly expresses q in terms of p?
A | p |
B | 1/p |
C | p/(1−p) |
D | 100/(100+p) |
E | 100p/(100+p) |
Question 3 |
At a certain stage of a soccer tournament, the score ratio of teams A, B and C was 3:4:5. Eventually, the score ratio of A to B has doubled while the score ratio of A to C has halved. If the final score of team C was 40, what was the final score of team B?
A | 8 |
B | 12 |
C | 16 |
D | 20 |
E | 24 |
Question 4 |
At a certain restaurant, the price of a sandwich is $ 4.00 more than the price of a cup of coffee. If the price of a sandwich and a cup of coffee is $ 7.35, including a sales tax of 5%, what is the price of a cup of coffee, EXCLUDING the sales tax?
A | $ 1.50 |
B | $ 3.00 |
C | $ 4.00 |
D | $ 5.50 |
E | $ 7.00 |
Question 5 |
There are 500 cars on a sales lot, all of which have either two doors or four doors. There are 165 two-door cars on the lot. There are 120 four-door cars that have a back-up camera. Eighteen percent of all the cars with back-up cameras have standard transmission. If 40% of all the cars with both back-up cameras and standard transmission are two-door cars, how many four-door cars have both back-up cameras and standard transmission?
A | 18 |
B | 27 |
C | 36 |
D | 45 |
E | 54 |
Question 6 |
Last year, Andre's company gave him a year-end bonus that was between $160 and $200. This year, his year-end bonus was 200% greater than it was the previous year. Which of the following could be the value of Andre's bonus this year, rounded to the nearest dollar?
A | $275 |
B | $375 |
C | $475 |
D | $575 |
E | $675 |
Question 7 |
At the beginning of the year, an item had a price of A. At the end of January, the price was increased by 60%. At the end of February, the new price was decreased by 60%. At the end of March, the new price was increased by 60%. At the end of April, the new price was decreased by 60%. On May 1st, the final price was approximately what percent of A?
A | 41% |
B | 64% |
C | 100% |
D | 136% |
E | 159% |
Question 8 |
Kim finds a 1-meter tree branch and marks it off in thirds and fifths. She then breaks the branch along all the markings and removes one piece of every distinct length. What fraction of the original branch remains?
A | 2/5 |
B | 7/5 |
C | 1/2 |
D | 8/15 |
E | 3/5 |
Question 9 |
0.35 represents what percent of 0.007?
A | 0.05% |
B | 0.5% |
C | 5% |
D | 500% |
E | 5000% |
Question 10 |
A grocer buys apples for $63 per pound. If 10% of the apples goes bad and he still wants to make a 20% profit over his purchase price, what should be the sales price?
A | $66 |
B | $70 |
C | $75 |
D | $77 |
E | $84 |
Question 11 |
The price of a radio was increased by 25 percent. The new price was then increased by 40 percent. A single increase of what percent is equivalent to these two successive increases?
A | 80% |
B | 75% |
C | 65% |
D | 50% |
E | 45% |
Question 12 |
After his death, a farmer left all of his land to his three children. Alfred received 20% more acres of land than James and 25% more than Stephen. If James received 3,600 acres, how many acres did Stephen get?
A | 2400 |
B | 3456 |
C | 3600 |
D | 3750 |
E | 4320 |
Question 13 |
Over the course of a soccer season, 30 percent of the players on a team scored goals. What is the ratio of players on the team who scored goals to those who did not?
A | 3 to 10 |
B | 1 to 3 |
C | 3 to 7 |
D | 1 to 1 |
E | 3 to 1 |
Question 14 |
Chris’s convertible gets gas mileage that is 40 percent higher than that of Stan’s SUV. If Harry’s hatchback gets gas mileage that is 15 percent higher than that of Chris’s convertible, then Harry’s hatchback gets gas mileage that is what percent greater than that of Stan’s SUV?
A | 25% |
B | 46% |
C | 55% |
D | 61% |
E | 66% |
Question 15 |
Mary's income is 60 percent more than Tim's income, and Tim's income is 40 percent less than Juan's income. What percent of Juan's income is Mary's income?
A | 124% |
B | 120% |
C | 96% |
D | 80% |
E | 64% |
Question 16 |
There are 2 kinds of staff members in a certain company, PART TIME AND FULL TIME. 25 percent of the total members are PART TIME members others are FULL TIME members. The work time of part time members is 3⁄5 of the full time members. Wage per hour is same. What is the ratio of total wage of part time members to total wage of all members.
A | 1/4 |
B | 1/5 |
C | 1/6 |
D | 1/7 |
E | 1/8 |
Question 17 |
Five friends Alastair, Bell, Cook, Darren and Eoin appeared in an aptitude test. Alastair scored exactly 1⁄2 of Darren’s score, whose score was 1⁄5th more than Cook’s score. Eoin scored 2⁄5th more than Cook and Darren’s score was 3⁄2 times that of Bell’s score. If the average score (arithmetic mean) of the group was 50, what was the range of the scores of the group?
A | 25 |
B | 30 |
C | 35 |
D | 40 |
E | 50 |
Question 18 |
What percent of 112 is 14? (Do it without calculator)
A | 0.125% |
B | 8% |
C | 12.5% |
D | 125% |
E | 800% |
Question 19 |
A furniture dealer purchased a desk for $150 and then set the selling price equal to the purchase price plus a markup that was 40% of the selling price. If the dealer sold the desk at the selling price, what was the amount of the dealer's gross profit from the purchase and the sale of the desk?
A | $40 |
B | $60 |
C | $80 |
D | $90 |
E | $100 |
Question 20 |
Four staff members at a certain company worked on a project. The amounts of time that the four staff members worked on the project were in the ratio 2 to 3 to 5 to 6. If one of the four staff members worked on the project for 30 hours, which of the following CANNOT be the total number of hours that the four staff members worked on the project?
A | 80 |
B | 96 |
C | 160 |
D | 192 |
E | 240 |
Question 21 |
After the price of chocolates was discounted by 40%, a shopper can buy 4 more chocolates for $12 than he could buy at the original price. How many chocolates could be bought for $12 at the original price?
A | 6 |
B | 8 |
C | 10 |
D | 12 |
E | 16 |
Question 22 |
Two equally sized jugs full of water are each emptied into two separate unequally sized empty jugs, X and Y. Now, jug X is 1⁄5 full, while jug Y is 2⁄3 full. If water is poured from jug X into jug Y until jug Y is filled, what fraction of jug X then contains water?
A | 0 |
B | 1/15 |
C | 2/15 |
D | 1/10 |
E | 2/10 |
Question 23 |
An investment of y dollars at p percent simple interest yields $600 interest over a 3-year period. In terms of y, what dollar amount invested at the same rate will yield the same amount of interest over a 2-year period?
A | 2y/3 |
B | 3y/4 |
C | 3y/2 |
D | 2y |
E | 3y |
Question 24 |
In a forest, the ratio of pine trees to maple trees is 3:4, and the ratio of sycamore trees to maple trees is 4:5. If there are ten more sycamore trees than pine trees in the forest, how many pine trees are in the forest?
A | 150 |
B | 180 |
C | 190 |
D | 210 |
E | 240 |
Question 25 |
If 1⁄2 of the air in a tank is removed with each stroke of a vacuum pump, what fraction of the original amount of air has been removed after 4 strokes ?
A | 15/16 |
B | 7/8 |
C | 1/4 |
D | 1/8 |
E | 1/16 |
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