Shorter GRE Math 모의테스트 2 (2023년 중국후기) – 문제와 정답

 

 

 

 

알림1: 모의테스트 2는 2023년 중국 GRE 후기에서 엄선된 후 실제 Math 시험의 첫 번째 section과 똑 같은 순서로 배치됐습니다. 즉,

 

1~5번: 수량 비교 문제

5번: 쉬운 연산 문제

6~10번: 대수학, 기하학, 확률 문제

11번: 주관식 문제

12번~15번: 연산, 대수학, 기하학, 확률 문제

 

알림2: 수량 비교 5문제 푸는데 7분 30초, 쉬운 연산 문제 푸는데 30초, 나머지 9문제 푸는데 18분을 배분하면 됩니다.

 

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1. At least one side of an isosceles right triangle has length 8.

 

Quantity A                                                Quantity B

The area of the triangle                     24

 

A. Quantity A is greater.

B. Quantity B is greater.

C. The two quantities are equal.

D. The relationship cannot be determined from the information given.

 

 

 

 

 

2. Fifty boxes of lightbulbs were examined during a quality-control check. The number a defective lightbulbs per box and the corresponding frequencies are summarized in the table.

 

Number of Defective Lightbulbs	0	1	2	3 or more
Frequency	22	17	6	5

 

 

Quantity A                                                                                     Quantity B

The median number of defective lightbulbs               1

per box for the fifty boxes

 

A. Quantity A is greater.

B. Quantity B is greater.

C. The two quantities are equal.

D. The relationship cannot be determined from the information given.

 

 

 

 

 

3. The integer n is the least integer greater than 2 such that when n is divided by any one of 3, 4, and 5 the remainder is 2.

 

Quantity A                                Quantity B

    n                              (3)(4)(5)

 

A. Quantity A is greater.

B. Quantity B is greater.

C. The two quantities are equal.

D. The relationship cannot be determined from the information given.

 

 

 

 

 

4. A list consists of n numbers, where n>1. The average(arithmetic mean) of the n numbers is equal to w such that w≠0 and .

 

Quantity A                                                               Quantity B

The sum of the n numbers in the list            n

 

A. Quantity A is greater.

B. Quantity B is greater.

C. The two quantities are equal.

D. The relationship cannot be determined from the information given.

 

 

 

 

 

5. The probability is 0.70 that event E occurs, 0.40 that event F occurs and 0.30 that both events occur.

 

Quantity A                                                            Quantity B

The probability that neither event E            0.2

nor event F occurs

 

A. Quantity A is greater.

B. Quantity B is greater.

C. The two quantities are equal.

D. The relationship cannot be determined from the information given.

 

 

 

 

 

 

 

 

 

 

7. On the number line above, the points with coordinates a, b, and c are in the order indicated. Which of the following must be true?

 

A. a+b=c    B. a+c=b    C. b-a＜c    D. ac＞bc    E. ab＞ac

 

 

 

 

 

8. Each time a certain coin is tossed, the coin lands either heads up or tails up. For any given toss, the probability that the coin will land heads up is equal to the probability that the coin will land tails up. The coin is to be tossed n times. What is the least possible value of n such that the probability of the coin landing heads up n times in a row is less than 0.05?

 

A. 2    B. 3    C. 4    D. 5    E. 6

 

 

 

 

 

9. The original price of a lawn mower was $500. The original price was reduced by 25 percent resulting in a sale price, and the sale price was reduced by more than 20 percent resulting in a clearance price. Which of the following could be the clearance price of the lawn mower?

 

   Indicate all such prices.

 

A. $240    B. $250    C. $260    D. $275    E. $290    F. $300    G. $310

 

   Select one or more answer choices.

 

 

 

 

 

10.

The figure above shows a normal distribution with mean m and standard deviation d, including approximate percents of the distribution corresponding to the six regions shown.

 

The lengths of phone calls made on a certain weekend by students at High School H are approximately normally distributed with a mean of 30 minutes and a standard deviation of 10 minutes. Which of the following statements must be true?

 

  Indicate all such statements.

 

A.  The range of the lengths of the phone calls is less than 60 minutes.

B.  The lengths of half of the phone calls are each greater than 40 minutes.

C.  The length of a 35-minute phone call is 0.5 standard deviation from the mean of the lengths of the phone calls.

 

  Select one or more answer choices.

 

 

 

11. Glen purchased granola and raisins separately for a total cost of $5.70. The total weight of the granola and the raisins was 14 ounces. The cost of the granola was $0.55 per ounce, and the cost of the raisins was $0.15 per ounce. How many ounces of granola did Glen purchase?

 

                            _____________ ounces

 

    Enter your answer as an integer or a decimal in the answer box. Backspace to erase.

 

 

 

 

 

 

 

12. In the circle with center O, if the length of minor arc MP is 3π, what is the area of square region MOPQ?

 

A. 9    B. 12    C. 24    D. 36    E. 144

 

 

 

 

 

13. Three of the vertices of parallelogram RSTU in the xy-plane are R(-3, -2), S(1, -5), and T(9, 1). Which of the following could be the x-coordinate of vertex U?

 

   A. 3    B. 4    C. 5    D. 6    E. 7

 

 

 

 

 

14. A family had a package of cheese. They used 1/3 of the cheese in the package to cook a pasta meal, and then used a fraction of the remaining cheese to cook a taco meal. If 1/4 of the cheese that was originally in the package is left over, what fraction of the cheese that remained after cooking the pasta meal did the family use to cook the taco meal?

 

   A. 1/4    B. 3/8    C. 5/12    D. 5/8    E. 3/4

 

 

 

 

 

15. A retailer sells one type of hockey stick. Last week, the retail price of each hockey stick was 20 percent more than its wholesale cost. Which of the following statements individually provides sufficient additional information to determine the retail price of each hockey stick last week?

 

   Indicate all such statements.

 

A. Last week, the wholesale cost of each hockey stick was $40.00.

B. Last week, the ratio of the retail price of each hockey stick to its wholesale cost was 6 to 5.

C. Last week, the profit from the sale of one of the hockey sticks sold at its retail price was $8.00. (Note: Profit equals retail price minus wholesale cost.)

 

Select one or more answer choices.

 

 

 

 

 

 

 

 

 

Shorter GRE Math 모의테스트 2 답지

 

1. D	2. C	3. A	4. C	5. C
6. D	7. E	8. D	9. ABCDE	10. C
11. 9	12. D	13. C	14. D	15. AC

 

 

 

 

 

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