GRE_Math_Bible_eBook

352GRE Math Bible

Medium

5.By what percent did the number of schools with Pupil/Teacher ratio less than 16 increase in January 1999 over January 1998?

(A)–2%

(B)0%

(C)2%

(D)10%

(E)12%

Hard

6.In January 1998, what percent of high schools had a Pupil/Teacher ratio less than 23?

(A)25%

(B)39%

(C)50%

(D)60%

(E)75%

Hard

7.If the areas of the sectors in the circle graphs are drawn in proportion to the percent shown, what is the measure, in degrees, of the sector representing the number of high schools with Pupil/Teacher ratio greater than 27 in 1999?

(A)21.6

(B)30

(C)45.7

(D)56.3

(E)72

Graphs 355

Easy

11.In which year were the questions in the exam least difficult?

(A)2000

(B)2001

(C)2002

(D)2004

(E)2006

Medium

12.By approximately what percent did the number of questions decrease from CEE 2000 to CEE 2006?

(A)11

(B)22

(C)27

(D)33

(E)37

Medium

13.In which year were the test takers given the least time to answer all the questions?

(A)2000

(B)2001

(C)2002

(D)2004

(E)2006

Medium

14.If the Pressure Factor for the examinees in an exam is defined as Difficulty level divided by Average Time (in minutes) given per question, then the Pressure Factor equals which one of the following in CEE 2006?

(A)7.5

(B)10

(C)12.5

(D)15

(E)17.5

Medium

15.If the Stress Factor for the examinees in an exam is defined as the product of the Difficulty level and the Number of questions divided by the average time given per question, then the Stress Factor equals which one of the following in the exam CEE 2005?

(A)2 per second

(B)3 per second

(C)4 per second

(D)6 per second

(E)9 per second

356GRE Math Bible

Questions 16–19 refer to the following graph.

The table below provides the complete semantics of a Common Entrance Test (CET) conducted in different years.

* The Difficulty Factor of the exam is the sum of the products of the number of questions of each type and the corresponding difficulty level. The Stress Factor is the Difficulty Factor divided by the Average Time Per Question.

Medium

16.By approximately what percent did the number of questions decrease in CET 1994 over the previous year?

(A)16%

(B)19%

(C)35%

(D)40%

(E)50%

Graphs 357

Medium

17.The Difficulty Factor is the greatest for which one of the following exams?

(A)CET 1990

(B)CET 1991

(C)CET 1992

(D)CET 1993

(E)CET 1994

Medium

18.Which one of the following exams has been marked as having the highest Stress Factor?

(A)CET 1990

(B)CET 1991

(C)CET 1992

(D)CET 1993

(E)CET 1994

Hard

19.Which one of the following statements can be inferred from the table?

(I)As the Stress Factor increased, the cut off marks of the top five universities decreased

(II)As the Difficulty Factor of the exam decreased, the cut off marks of the top five universities increased

(III)As the Difficulty Factor increased, the Stress Factor increased

(A)(I) only

(B)(II) only

(C)(III) only

(D)(I), and (II)

(E)(I), and (III)

Graphs 359

Hard

22.Which one of the following industry groups employs more than 10 employees per establishment?

(A)Construction

(B)Manufacturing

(C)Wholesale Trade

(D)Retail Trade

(E)Transportation and Warehousing

Hard

23.Which one of the following is a valid inference?

(I)The State Government can be inferred as employing the highest number of Employees per Establishment only because the Percentage Employment it provides is the highest. The number of Establishments is not important.

(II)The State Government can be inferred as employing the highest number of Employees per Establishment since it has the least number of organizations and offers the highest Employment.

(III)The State Government can be inferred as employing the highest number of Employees per Establishment since it has the least number of organizations and offers the highest Percentage of Employment.

(A)I only

(B)II only

(C)III only

(D)I and II

(E)II and III

360 GRE Math Bible

Answers and Solutions to Problem Set V

Monthly

earnings in 1000 – dollars

700 –

400 –

A’s income profile during the year 2007

1000 –

Monthly earnings in dollars

B’s income profile during the year 2007

Medium

1.A launched 3 products in the year 2007 and earns income from the sales of the products only. The top graph shows his monthly earnings for the year. B's earnings consist of continuously growing salary, growing by same amount each month as shown in the figure. Which one of the following equals the total earnings of A and B in the year 2007?

(A)7500, 8100

(B)7850, 8300

(C)8150, 8400

(D)8400, 8100

(E)8400, 8700

From the figure, the monthly income of A for the first four months is $400. Hence, the net earnings in the 4 months is 4 400 = 1600 dollars.

From the figure, the monthly income of A for the second four months is $700. Hence, the net earnings in the 4 months is 4 700 = 2800 dollars.

From the figure, the monthly income of A for the last four months is $1000. Hence, the net earnings in the 4 months is 4 1000 = 4000 dollars.

Hence, the total income in the year is 1600 + 2800 + 4000 = 8400 dollars.

The monthly income of B grew regularly from 400 in January to 950 in December. Hence, the net income is 400 + 450 + 500 + 550 + 600 + 650 + 700 + 750 + 800 + 850 + 900 + 950 = 8100.

Hence, the answer is (D).