# GMAT Quantitative University of Oxford 2017

Subject: ; Class: ; with 37 questions; test in 75 minutes; update 26/07/2017
 Time 75 minutes Time to take the test Start exam Click button start to test. Guide to the test Subjects Gmat test Update 26/07/2017 Class Level 2 Number of questions 37 View 824 Tested 0

Question 1.

An investor purchased a share of non-dividend-paying stock for p dollars on Monday. For a certain number of days, the value of the share increased by r percent per day. After this period of constant increase, the value of the share decreased the next day by q dollars and the investor decided to sell the share at the end of that day for v dollars, which was the value of the share at that time. How many working days after the investor bought the share was the share sold, if r = 100 ($$\sqrt{v +q \over p}$$ - 1)

 (A) Two working days later (B) Three working days later (C) Four working days later (D) Five working days later (E) Six working days later

Question 2.

A certain investment grows at an annual interest rate of 8%, compounded quarterly. Which of the following equations can be solved to find the number of years, x, that it would take for the investment to increase by a factor of 16?

 (A) 16 = (1.02)x/4 (B) 2 = (1.02)x (C) 16 = (1.08)4x (D) 2 = (1.02)x/4 (E) 1/16 = (1.02)4x

Question 3.

Jim needs $1,000 to buy a new flat-screen TV. Since he has only$7, he borrows the remanining balance from his sister Mary. The loan will be repaid in 3 annual installments at an interest rate of 10%, compounded annually. The formula for calculating the monthly payment P is P = (L x C x r) / (C – 1) where L = amount of the loan, r = annual interest rate, and C = compounding factor = (1 + r)N where N = number of annual payments. How much does Jim have to pay Mary at the end of each of the next 3 years (rounded to the nearest penny)?

 (A) $357.67 (B)$375.85 (C) $387.40 (D)$399.30 (E) $433.33 Question 4. Louie takes out a three-month loan of$1000. The lender charges him 10% interest per month compounded monthly. The terms of the loan state that Louie must repay the loan in three equal monthly payments. To the nearest dollar, how much does Louie have to pay each month?

 (A) 333 (B) 383 (C) 402 (D) 433 (E) 483

Question 5.

Donald plans to invest x dollars in a savings account that pays interest at an annual rate of 8% compounded quarterly. Approximately what amount is the minimum that Donald will need to invest to earn over $100 in interest within 6 months?  (A)$1500 (B) $1750 (C)$2000 (D) $2500 (E)$3000

Question 6.

Which of the following fractions is at least twice as great as 11/50?

 (A) 2/5 (B) 11/34 (C) 43/99 (D) 8/21 (E) 9/20

Question 7.

At the beginning of the year, the ratio of juniors to seniors in high school X was 3 to 4. During the year, 10 juniors and twice as many seniors transferred to another high school, while no new students joined high school X. If, at the end of the year, the ratio of juniors to seniors was 4 to 5, how many seniors were there in high school X at the beginning of the year?

 (A) 80 (B) 90 (C) 100 (D) 110 (E) 120

Question 8.

3/5 of a certain class left on a field trip. 1/3 of the students who stayed behind did not want to go on the field trip (all the others did want to go). When another vehicle was located, 1/2 of the students who did want to go on the field trip but had been left behind were able to join. What fraction of the class ended up going on the field trip?

 (A) 1/2 (B) 2/3 (C) 11/15 (D) 23/30 (E) 4/5

Question 9.

The ratio of boys to girls in Class A is 3 to 4. The ratio of boys to girls in Class B is 4 to 5. If the two classes were combined, the ratio of boys to girls in the combined class would be 17 to 22. If the number of boys in Class B is one less than the number of boys in Class A, and if the number of girls in Class B is two less than the number of girls in Class A, how many girls are in Class A?

 (A) 8 (B) 9 (C) 10 (D) 11 (E) 12

Question 10.

John's front lawn is 1/3 the size of his back lawn. If John mows 1/2 of his front lawn and 2/3 of his back lawn, what fraction of his lawn is left unmowed?

 (A) 1/6 (B) 1/3 (C) 3/8 (D) 1/2 (E) 5/8

Question 11.

At Jefferson Elementary School, the number of teachers and students (kindergarten through sixth grade) totals 510. The ratio of students to teachers is 16 to 1. Kindergarten students make up 1/5 of the student population and fifth and sixth graders account for 1/3 of the remainder. Students in first and second grades account for 1/4 of all the students. If there are an equal number of students in the third and fourth grades, then the number of students in third grade is how many greater or fewer than the number of students in kindergarten?

 (A) 12 greater (B) 17 fewer (C) 28 fewer (D) 36 fewer (E) 44 fewer

Question 12.

A certain galaxy is known to comprise approximately 4 x 1011 stars. Of every 50 million of these stars, one is larger in mass than our sun. Approximately how many stars in this galaxy are larger than the sun?

 (A) 800 (B) 1,250 (C) 8,000 (D) 12,000 (E) 80,000

Question 13.

A lemonade stand sold only small and large cups of lemonade on Tuesday. 3/5 of the cups sold were small and the rest were large. If the large cups were sold for 7/6 as much as the small cups, what fraction of Tuesday's total revenue was from the sale of large cups?

 (A) 7/16 (B) 7/15 (C) 10/21 (D) 17/35 (E) 1/2

Question 14.

Miguel is mixing up a salad dressing. Regardless of the number of servings, the recipe requires that 5/8 of the finished dressing mix be olive oil, 1/4 vinegar, and the remainder an even mixture of salt, pepper and sugar. If Miguel accidentally doubles the vinegar and forgets the sugar altogether, what proportion of the botched dressing will be olive oil?

 (A) 15/29 (B) 5/8 (C) 5/16 (D) 1/2 (E) 13/27

Question 15.

Harold and Millicent are getting married and need to combine their already-full libraries. If Harold, who has 1/2 as many books as Millicent, brings 1/3 of his books to their new home, then Millicent will have enough room to bring 1/2 of her books to their new home. What fraction of Millicent's old library capacity is the new home's library capacity?

 (A) 1/2 (B) 2/3 (C) 3/4 (D) 4/5 (E) 5/6

Question 16.

In a certain pet shop, the ratio of dogs to cats to bunnies in stock is 3 : 5 : 7. If the shop carries 48 cats and bunnies total in stock, how many dogs are there?

 (A) 12 (B) 13 (C) 14 (D) 15 (E) 16

Question 17.

A foreign language club at Washington Middle School consists of n students, 2/5 of whom are boys. All of the students in the club study exactly one foreign language. 1/3 of the girls in the club study Spanish and 5/6 of the remaining girls study French. If the rest of the girls in the club study German, how many girls in the club, in terms of n, study German?

 (A) 2n/5 (B) n/3 (C) n/5 (D) 2n/15 (E) n/15

Question 18.

A certain ball team has an equal number of right- and left-handed players. On a certain day, two-thirds of the players were absent from practice. Of the players at practice that day, one-third were left handed. What is the ratio of the number of right-handed players who were not at practice that day to the number of left- handed players who were not at practice?

 (A) 1/3 (B) 2/3 (C) 5/7 (D) 7/5 (E) 3/2

Question 19.

Bag A contains red, white and blue marbles such that the red to white marble ratio is 1:3 and the white to blue marble ratio is 2:3. Bag B contains red and white marbles in the ratio of 1:4. Together, the two bags contain 30 white marbles. How many red marbles could be in bag A?

 (A) 1 (B) 3 (C) 4 (D) 6 (E) 8

Question 20.

The ratio by weight, measured in pounds, of books to clothes to electronics in Jorge's suitcase initially stands at 8 to 5 to 3. Jorge then removes 4 pounds of clothing from his suitcase, thereby doubling the ratio of books to clothes. Approximately how much do the electronics in the suitcase weigh, to the nearest pound?

 (A) 3 (B) 4 (C) 5 (D) 6 (E) 7

Question 21.

During 2005, a company produced an average of 2,000 products per month. How many products will the company need to produce from 2006 through 2008 in order to increase its monthly average for the period from 2005 through 2008 by 200% over its 2005 average?

 (A) 148,000 (B) 172,000 (C) 200,000 (D) 264,000 (E) 288,000

Question 22.

After his first semester in college, Thomas is applying for a scholarship that has a minimum Grade Point Average (GPA) requirement of 3.5. The point values of pertinent college grades are given in the table below. If Thomas took 5 courses, each with an equal weight for GPA calculations, and received two grades of A-, one grade of B+, and one grade of B, what is the lowest grade that Thomas could receive for his fifth class to qualify for the scholarship?
Grade    A    A-    B+    B    B-    C+    C    C-
Value    4    3.7    3.3    3    2.7    2.3    2    1.7

 (A) A (B) B+ (C) B (D) B- (E) C+

Question 23.

A parking lot charges a flat rate of X dollars for any amount of time up to two hours, and $$\frac{1}{6}X$$ for each hour or fraction of an hour after the first two hours. How much does it cost to park for 5 hours and 15 minutes?
 (A) 3X (B) 2X (C) $$1\frac{2}{3}X$$ (D) $$1\frac{1}{2}X$$ (E) $$1\frac{1}{6}X$$

Question 24.

A certain portfolio consisted of 5 stocks, priced at $20,$35, $40,$45, and $70, respectively. On a given day, the price of one stock increased by 15%, while the price of another stock decreased by 35% and the prices of the remaining three remained constant. If the average price of a stock in the portfolio rose by approximately 2%, which of the following could be the prices of the shares that remained constant?  (A)$20, $35, and$70 (B) $20,$45, and $70 (C)$20, $35, and$40 (D) $35,$40, and $70 (E)$35, $40, and$45

Question 25.

If John makes a contribution to a charity fund at school, the average contribution size will increase by 50%, reaching $75 per person. If there were 5 other contributions made before John’s, what is the size of his donation?  (A)$100 (B) $150 (C)$200 (D) $250 (E)$450

Question 26.

What is the minimum percentage increase in the mean of set X {-4, -1, 0, 6, 9} if its two smallest elements are replaced with two different primes?
 (A) 25% (B) 50% (C) 75% (D) 100% (E) 200%

Question 27.

Which of the following series of numbers, if added to the set {1, 6, 11, 16, 21}, will not change the set’s mean?
I. 1.5, 7.11 and 16.89 II. 5.36, 10.7 and 13.24 III. -21.52, 23.3, 31.22
 (A) I only (B) II only (C) III only (D) I and III only (E) None

Question 28.

If numbers N and K are added to set X {2, 8, 10, 12}, its mean will increase by 25%. What is the value of N2 + 2NK + K2 ?

 (A) 28 (B) 32 (C) 64 (D) 784 (E) 3600

Question 29.

The mean of (54,820)2 and (54,822)2 =

 (A) (54,821)2 (B) (54,821.5)2 (C) (54,820.5)2 (D) (54,821)2 + 1 (E) (54,821)2 – 1

Question 30.

Set S consists of integers 7, 8, 10, 12, and 13. If integer n is included in the set, the average (arithmetic mean) of set S will increase by 20%. What is the value of integer n?

 (A) 10 (B) 12 (C) 16 (D) 22 (E) 24

Question 31.

If set R contains the consecutive integers from -5 to -1, what is the mean of set R?

 (A) -5 (B) -3 (C) 0 (D) 3 (E) 5

Question 32.

Set A contains the consecutive integers ranging from x to y, inclusive. If the number of integers in set A that are less than 75 is equal to the number of integers that are greater than 75, what is the value of 3x + 3y?

 (A) 225 (B) 300 (C) 372 (D) 450 (E) 528

Question 33.

In the first week of last month, Company X realized an average wholesale profit of $5304 per day from the sale of q units of Product Y. Which of the following CANNOT be the difference between Product Y’s sale price and cost per unit?  (A)$3 (B) $4 (C)$7 (D) $11 (E)$51

Question 34.

Which of the following could be the median of a set consisting of 6 different primes?

 (A) 2 (B) 3 (C) 9.5 (D) 12.5 (E) 39

Question 35.

The median annual household income in a certain community of 21 households is $50,000. If the mean income of a household increases by 10% per year over the next 2 years, what will the median income in the community be in 2 years?  (A)$50,000 (B) $60,000 (C)$60,500 (D) \$65,000 (E) Cannot get

Question 36.

T is a set of y integers, where 0 < y < 7. If the average of Set T is the positive integer x, which of the following could NOT be the median of Set T?

 (A) 0 (B) x (C) –x (D) y/3 (E) 2y/7

Question 37.

a, b, and c are integers and a < b < c. S is the set of all integers from a to b, inclusive. Q is the set of all integers from b to c, inclusive.  The median of set S is (3/4) b.  The median of set Q is (7/8) c. If R is the set of all integers from a to c, inclusive, what fraction of c is the median of set R?

 (A) 3/8 (B) 1/2 (C) 11/16 (D) 5/7 (E) 3/4