# GMAT Overlapping SETS Top 4 ( 15 questions, 20 minutes )

Subject: ; Class: ; with 15 questions; test in 20 minutes; update 10/07/2017
 Time 20 minutes Time to take the test Start exam Click button start to test. Guide to the test Subjects Gmat test Update 10/07/2017 Class Level 2 Number of questions 15 View 573 Tested 2

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