of. exams 14-20 & answers (gmat)

5/21/2018 Of. Exams 14-20 & Answers (GMAT)

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OFFICIAL EXAMS 14-20

*E14 If 20082008- 20082007 = (2008x)(2007y) , then x + y = ?

(A) 1(B) 2007

(C) 2008(D) 2009(E) 4015

30

*E14 When n is divided by 4 leaves a remainder of 1, and when n is divided by 5 gives aremainder of 2. If n is the least integer with these properties , what is the remainder whenn is divided by 6 ?

(A) 1(B) 2

(C) 3(D) 4(E) 5

32

*E15 Is |x| + | x - 1 | = 1 ?

(1) x 0(2) x 1

(A) Statement (1) Lis sufficient, but statement (2) alone is not sufficient .(B) Statement (2) Lis sufficient, but statement (1) alone is not sufficient .(C) statements TOGETHER are sufficient, butEITHER statement ALONE(D) EACH statement Lis sufficient .(E) Statements (1) and (2) TOGETHER aresufficient .

25

*E16 At a certain company, the ratio of the amount of money allocated for research to the amountof money allocated in the production is 2 to 7. If the ratio of the amount allocated formarketing to the amount allocated in the production is 1 to 5, what part of the total cost isallocated for research?

(A)2

15

(B)7

52

(C)10

52

(D)1

5

(E)18

35

12


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*E16 A triangle ABC is inscribed in a circle. If the circumference of the circle is 6, what is thelength of BC ?

(1) AB = AC(2) Angle A is a right angle


23

*E16 Is x2 even ?

(1) x2+ x is even(2) x3+ x is even


24

*E17 x2ay3b= ?

(1) xy = 1(2) a = b = 3


5

*E17 A car traveled the first 2 miles of a trip at an average speed of 40 miles per hour , and then

traveled the next 3 miles of the trip at an average speed of 60 miles per hour. What is theaverage speed of the car during the trip, in miles per hour?

(A) 45(B) 48(C) 50(D) 52(E) 55

6


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*E17 7. John drives for 1 mile at 60 miles per hour, and then 1 mile at a different constant speed.

If the average speed during the 2 mile route is 90 miles per hour, what is the speed of the carduring the second mile?

(A) 120

(B) 140(C) 150(D) 180(E) 200

7

*E18 (310)(3312) is approximately equal to

(A) 1012(B) 1013(C) 1014

(D) 1022(E) 1023

2

*E18 If P(x) = ax2+ bx + c , a0, is P(x) < 0 for every real number x ?

(1) b2- 4ac < 0(2) a < 0


4

*E18 If BD is parallel to AE, what is the value of x+y, in degrees?

(1) z = 48o(2) y = 37o

(A) Statement (1) L is sufficient, but statement (2)alone is not sufficient .(B) Statement (2) Lis sufficient, but statement (1)alone is not sufficient .(C) statements TOGETHER are sufficient, but

EITHER statement ALONE(D) EACH statement Lis sufficient .(E) Statements (1) and (2) TOGETHER aresufficient .

5


4/8

*E18 If 5 m + p 10 , 7 m + n 11 and 4 n + p 9 , then m + n + p is between

(A) 4 and 11(B) 5 and 11(C) 10 and 22

(D) 16 and 30(E) 8 and 15

7

*E18 8. | | 2 - 3 | - 5 | - | 2 - | 3 - 5 | |

(A) -2 3

(B) 2 3 (C) 0

(D) 2 5 - 2 2

(E) 2 5 - 2 3

8

*E18 In the figure, ABCD represents a rectangular sheet of paper.If we fold the sheet so that the vertex B, touches side CD at

F, and DF = 6 cm and CF = 2 cm. What is the ratioAF

EF?

(A) 7

(B) 2 7 (C)

1

7

(D)8

7

(E)7

8

10

*E18 The volume of a rectangular box is 60 cubic feet. What is the volume of a second

rectangular box if its length is twice the length of the first box, and its width is three timesthe width of the first box?

(A) 180(B) 240(C) 300(D) 360(E) 480

12


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*E18 What is the remainder, when 38n+3+ 2 is divided by 5 ?

(A) 0(B) 1(C) 2

(D) 3(E) 4

13

*E19 A line is parallel to the line with equation y = 3x + 4. If passes through points (5, 10)and (3, h) , what is the value of h ?

(A) 3(B) 4(C) 13(D) 16

(E) 18

1

*E19The sum of the first n positive integers is given by the formula

n(n 1)

2

+. If T is the sum

of the positive multiples of 6 which are less than or equal to 60 and S is the sum of thepositive multiples of 5 which are less than or equal to 50, then T - S =

(A) 55(B) 110

(C) 220(D) 550(E) 600

2

*E19 How many digits has the number (49)(517) ?

(A) 16(B) 17(C) 18(D) 19

(E) 20

7

*E19 5 10

5 10

+

=

(A) 2 5

(B) 5 2 - 2 5

(C) 15 + 20 2

(D) 1+ 4 23

(E) -3 - 4 2

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*E19 10. When the number N is divided by 7 the remainder is 3. Which of the following

cannot be a factor of N ?

(A) 10(B) 17

(C) 24(D) 35(E) 38

10

*E19 If n is an even integer , which of the following must be even ?

I.2n 4

4

II.2n 2n

4

+

III.2n 4n

4

(A) None(B) I only(C) II only(D) I and II(E) II and III

13

*E19 (3

5

+ 3

6

+ 3

7

+ 3

8

)

2

=

(A) 328(B) 352(C) (39)(310)(D) (40)(310)(E) (402)(310)

24

*E20 The first 4 terms of a certain sequence are 1 , -a , -1 , a and the following terms continuewith the same pattern. What is the sum of the 222nd and the 444th term of the sequence ?

(A) -2(B) 0(C) 2(D) a-1(E) 1-a

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7/8

*E20 In the circle, the radius OS is perpendicular to the chord NP,and RS = 0.6. What is the value of NP ?

(1) OR = 0.4(2) The circumference of the circle is 2.

(A) Statement (1) L is sufficient, but statement (2)alone is not sufficient .(B) Statement (2) Lis sufficient, but statement (1)alone is not sufficient .(C) statements TOGETHER are sufficient, but

EITHER statement ALONE(D) EACH statement Lis sufficient .(E) Statements (1) and (2) TOGETHER aresufficient .

7

*E20 A merchant sold 352 televisions during one year. What is the least number of televisions

that the merchant could sell during a single month, so that this number will be greater thanany other number of monthly sales of this year ?

(A) 30(B) 31(C) 32(D) 33(E) 34

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OFFICIAL EXAMS 14-20

Answers

E14-30 C

E14-32 E

E15-25 C

E16-12 CE16-23 B

E16-24 E

E17-5 E

E17-6 C

E17-7 D

E18-2 E

E18-4 C

E18-5 A

E18-7 E

E18-8 E

E18-10 A

E18-12 D

E18-13 E

E19-1 B

E19-2 A

E19-7 C

E19-9 E

E19-10 D

E19-13 C

E19-24 E

E20-5 B

E20-7 D

E20-16 B

of. exams 14-20 & answers (gmat)

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