Shorter GRE Math 모의테스트 8 (2023년 중국후기) – 문제와 정답

 

 

 

알림1: 모의테스트 8은 2023년 중국 GRE 후기에서 엄선된 후 실제 Math 시험의 첫 번째 section과 똑 같은 순서로 배치됐습니다. 즉,

 

     1~5번: 수량 비교 문제

     6번: 쉬운 연산 문제

     7~10번: 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. A certain sequence is defined by  and   for all integers n≥2.

 

Quantity A:

   

 

Quantity B:

 

 

   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. x＜0＜y,

 

Quantity A:

   

 

Quantity B:

 

   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 median of the distribution of the values of a random variable X is 0.055, and 60 percent of the values of X are less than the mean of the distribution

 

Quantity A

The mean of the distribution

 

Quantity B

  0.055

 

   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. In the xy-plane, point C has coordinates (0, 2), point D has coordinates (2, 2), point F has coordinates (4, 0), and point G has coordinates (6, 2).

 

Quantity A

The sum of the distances from C to D and from D to F

 

Quantity B

The sum of the distances from D to F and from F to G

 

   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.

 

Quantity A

     a

 

Quantity B

     b

 

   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.

 

 

 

 

 

6. One-half of  is equal to which of the following?

 

   A.  

   B.

   C.

   D.

   E.

 

 

 

 

 

7. The standard deviation of n numbers with mean m is equal to ,  where S is the sum of the squared differences for 1≤i≤n. The standard deviation of the numbers in data set A is 18. The numbers in data set B are created by multiplying each number in A by 2 and then subtracting 5 from the result. What is the standard deviation of the numbers in B?

 

     A. 13       B. 18       C. 26      D. 31       E. 36

 

 

 

 

 

8. An integer is to be selected at random from the set of integers from 10 to 99. What is the probability that both of the digits in the integer selected will be even?

 

     A.

 

     B.

 

     C.

 

     D.

 

     E.

 

 

 

 

 

9. In the xy-plane, point P has coordinates (6r, 8r), where r>0, point Q is the reflection of point P about the origin, and the distance from P to Q is 28. What is the value of r?

 

     A. 2.8      B. 2      C. 1.75      D. 1.4      E. 1

 

 

 

 

 

10. The units digit of  is r, and the units digit of  is t, where n, r, and t are positive integers. Which of the following could be the value of r+t?

 

indicate all such values.

 

     A. 10       B. 12       C. 14       D. 16

 

Select one or more answer choices.

 

 

 

 

 

11. A certain company's cost C, in dollars, of producing x units of its product is given by the formula  , where 0≤ x ≤6,000. If the company produces 200 units and sells each unit for $7.98, what is the company’s profit from the production and sale of the 200 units? (Profit equals sales revenue minus production cost.)

 

          $ ____________

 

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

 

 

 

 

 

12. Drake bought a shirt at a price that was 10 percent less than the retail price of the shirt. He also bought a tie at a price that was 30 percent less than the retail price of the tie. The retail price of the shirt was twice the retail price of the tie. Drake paid a total of $62.10 for the shirt and tie, including an 8 percent sales tax on both the shirt and tie. What was the retail price of the tie?

 

      A. $16.10       B. $20.70       C. $23.00       D. $41.40       E. $46.00

 

 

 

 

 

13.

 

Equilareral triangle ABC is inscribed in a circle with center O and area 64π. What is the height of triangle ABC?

 

     A. 8

     B. 10

     C. 12

     D. 14

     E. 16

 

 

 

 

 

14. A total of $84,000 was invested for one month in a new money market account that paid simple annual interest at the rate of r percent. If the investment earned $420 in interest for the month, what is the value of r?

 

     A. 4.5       B. 5.0       C. 5.5       D. 6.0       E. 7.0

 

 

 

 

 

15.

 

In the figure above, MN=NO and MP=PO. If MO=6 and NP=10, what is the area of quadrilateral region MNOP?

 

     A. 60       B. 30       C. 25       D. 15       E. 10

 

 

 

 

 

 

 

 

 

 

 

Shorter GRE Math 모의테스트 8 답지

 

1. A	2. D	3. A	4. B	5. C
6. E	7. B	8. B	9. D	10. ABD
11. 1124	12. C	13. C	14. D	15. B

 

 

 

 

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