Six timed practice sub-tests 161
Sub-test 3: quantitative
To indicate your answer, put a tick alongside the suggested answer of your choice and when you have reread and checked your answer, fill in the box, then move on to the next question. There is no going back in the real GMAT CAT® so when you have moved on to the next question, do not be tempted to go back and change your answer as you will not be able to do that in the real test. If you cannot get to the solution of a question then it is worth guessing, but only as a last resort. Remember that to do well in a test you really have to try very hard!
You are allowed 75 minutes in which to attempt the 37 questions that make up this test. Work where you will not be interrupted and complete the test in one continuous period. Do not use a calculator. Do not turn the page until you are really ready to begin.
162 How to pass the GMAT®
Sub-test 3
Q1. Are all the angles equal?
A
B C
(1)Angle A = 60° and the sum of angles B + C = 120°
(2)It is an equilateral triangle
A. |
1 alone, not 2 alone |
|
B. |
2 alone, not 1 alone |
|
C. |
1 and 2 together (need both) |
Answer |
D.1 alone or 2 alone
E.1 and 2 together are not sufficient
Q2. A lottery syndicate wins $399,000, which is to be split by the ratio 7:3:9. How much more is the highest payout than the lowest?
A.$126,000
B.$189,000
C. |
$149,000 |
Answer |
D. |
$63,000 |
|
E. |
$21,000 |
|
Q3. Is x positive?
(1)x is greater than or equal to y
(2)y is greater than 0
A. |
1 alone, not 2 alone |
|
B. |
2 alone, not 1 alone |
|
C. |
1 and 2 together (need both) |
Answer |
D.1 alone or 2 alone
E.1 and 2 together are not sufficient
Six timed practice sub-tests 163
Q4. For which values of x is x2 – x negative?
A.–1 < x < 1
B.x < 1
C. 0 < x < 1 |
Answer |
D.1 > x > –1
E.x > 1
Q5. If 4x + 6y = 20, then 10x + 15y is:
A. |
40 |
|
B. |
50 |
|
C. |
20 |
Answer |
D.30
E.Cannot be determined
Q6. If this pie chart was drawn so that each sector was represented proportionately, what should angle A be?
Agriculture
544
Manufacturing
870
Public |
|
Services |
|
900 |
A |
Construction
892
Banking |
|
|
and |
|
|
Finance |
|
Distribution |
522 |
|
and |
|
Transport |
Catering |
|
424 |
|
|
348 |
|
|
|
Employment by Industrial Sector (NOT to scale)
A.26°
B.28°
C. |
30° |
Answer |
D. |
32° |
|
E. |
72° |
|
164 How to pass the GMAT®
Q7. The function $(x) rounds up to the nearest integer then takes the positive value. For example, $(–3.0) = 3. What, then, is the result of $(–2.5) divided by $(2.5)?
A. |
1 |
|
B. |
2/3 |
|
C. |
2.5 |
Answer |
D.6.25
E.3/3
Q8. If the sum of three consecutive numbers (integers) is 93, then the sum of the two largest of that series is:
A.63
B.64
C. |
65 |
Answer |
D. |
66 |
|
E. |
67 |
|
Q9. Is n divisible by 11 with no remainder?
(1)n is divisible by m with integer result
(2)m is divisible by 5.5 with integer result
A. |
1 alone, not 2 alone |
|
B. |
2 alone, not 1 alone |
|
C. |
1 and 2 together (need both) |
Answer |
D.1 alone or 2 alone
E.1 and 2 together are not sufficient
Q10. What is the probability of getting tails 6 consecutive times when you toss a coin (assume the coin has no bias)?
A.1/4
B.1/8
C. |
1/16 |
Answer |
D. |
1/32 |
|
E. |
1/64 |
|
Q11. If 2y – x < 0 and both x and y are positive then:
A.x < y
B.x > y/2
C. x > 2y |
Answer |
D.2x > y
E.None of the above
Six timed practice sub-tests 165
Q12. What speed must a driver maintain for the 25 miles that remain of a trip if he wants to average 50 mph for the entire journey and he has taken 36 minutes to complete the first 55 miles?
A.20 mph
B.25 mph
C. |
30 mph |
Answer |
D. |
35 mph |
|
E. |
40 mph |
|
Q13. If 5a + 4b = 20 and 4a + 5b = 30, what is 9a + 9b?
A. |
50 |
|
B. |
40 |
|
C. |
90/5 |
Answer |
D.90/4
E.220/9
Q14. Which of these two is the greater, x or y?
(1)x/3 > y
(2)Both are positive
A. |
1 alone, not 2 alone |
|
B. |
2 alone, not 1 alone |
|
C. |
1 and 2 together (need both) |
Answer |
D.1 alone or 2 alone
E.1 and 2 together are not sufficient
Q15. If a – b = –3 and a + b = 11, then:
A.ab = 8
B.a/b = 7/3
C. ab = 21 |
Answer |
D.a/b = 7/4
E.ab = 28
Q16. For which values of x is –x2 + 4x – 3 positive?
A.1 > x > 3
B.x < –3
C. –4 < x < 3 |
Answer |
|
D. |
1 < x < 3 |
|
E. |
x > 1 |
|
166 How to pass the GMAT®
Q17.
What others
Doing |
think of them |
|
well in |
||
22 |
||
school |
||
|
||
30 |
|
Finding |
Looking |
a job |
good |
24 |
41 |
What interests 117 young people most
What is the ratio of young people most interested in looking good and what others think of them compared to the young people most interested in doing well at school and finding a job (express the ratio in it simplest form)?
A.6:5
B.5:4
C. |
7:6 |
Answer |
D. |
8:6 |
|
E. |
9:7 |
|
Q18. Is x is positive or negative?
(1)x = y2
(2)x2 = 2
A. |
1 alone, not 2 alone |
|
B. |
2 alone, not 1 alone |
|
C. |
1 and 2 together (need both) |
Answer |
D.1 alone or 2 alone
E.1 and 2 together are not sufficient
Q19. If 3y + x < 0:
A.y < –x/3
B.–y > x/3
C. |
y < –x/3 and –y > x/3 |
Answer |
D. |
2x > y/6 |
|
E. |
None of the above |
|
Six timed practice sub-tests 167
Q20. If a/b = –3 and ab = –12, then:
A.a – b = 8
B.a – b = –8
C. a – b = 8 or –8 |
Answer |
|
D. |
a – b = 9 |
|
E. |
a – b = 4 or –4 |
|
Q21. How much smaller is the volume of the hemisphere than that of the triangular prism (work to the nearest full cm3, treat as 3.14)?
Height
4 cm
Radius
4 cm
15 cm
5 cm 
Hemisphere |
A prism |
A.118 cm3
B.76 cm3
C. |
23 cm3 |
Answer |
D. |
18 cm3 |
|
E. |
16 cm3 |
|
Q22. If x = y2, y = 4z and xyz = 16, x is:
A.16
B.4
C. |
8 |
Answer |
D. |
6 |
|
E. |
2 |
|
168 How to pass the GMAT®
Q23. If two 6-sided dice are thrown, what is the probability of the sum of the two faces totaling 5?
A.1/9
B.1/6
C. |
1/12 |
Answer |
D. |
1/18 |
|
E. |
5/36 |
|
Q24. A sequence of numbers a1, a2, a3 etc. is generated using the following algorithm: an+1 = 1/an. Does the number 1 appear in the sequence if:
(1)2 appears in the sequence
(2)an+1 – an = 2 at some point
A. |
1 alone, not 2 alone |
|
B. |
2 alone, not 1 alone |
|
C. |
1 and 2 together (need both) |
Answer |
D.1 alone or 2 alone
E.1 and 2 together are not sufficient
Q25. If 1/y = 1/x + 2/x and x = 10, then y is:
A. |
10/9 |
|
B. |
10/3 |
|
C. |
20/9 |
Answer |
D.8/9
E.None of the above
Q26. If y = x/3 + 3/x and 3x = 1, then y is:
A. |
10/9 |
|
B. |
18/3 |
|
C. |
82/9 |
Answer |
D.8/9
E.None of the above
Q27. What is the sum of all the numbers from 20 through to 48?
A.986
B.999
C. |
852 |
Answer |
D. |
851 |
|
E.850
Six timed practice sub-tests 169
Q28. Is 1/ x > 1 y, if both x and y are positive?
(1)x – y > 0
(2)x > y
A. |
1 alone, not 2 alone |
|
B. |
2 alone, not 1 alone |
|
C. |
1 and 2 together (need both) |
Answer |
D.1 alone or 2 alone
E.1 and 2 together are not sufficient
Q29. If 3x + y = 2x – y, then x + y is:
A. |
–y |
|
B. |
–x |
|
C. |
(2x – y)/3 |
Answer |
D.x/2 – y/3
E.Cannot be determined
Q30. For which values of x is x2 – 2x + 3 greater than 3?
A.1 > x > 3
B.None
C. –4 < x < 3 |
Answer |
|
D. |
0 < x < 2 |
|
E. |
0 > x > 2 |
|
Q31. What are the values of x and y?
E
|
B |
10 m |
|
|
|
4 m |
|
3 m |
A |
C |
D |
|
x |
12 m |
(1)Angles A + D and angles C + F are equal
(2)x = 7.5 cm
A.1 alone, not 2 alone
B.2 alone, not 1 alone
C.1 and 2 together (need both)
D.1 alone or 2 alone
E.1 and 2 together are not sufficient
y
F
Answer
170 How to pass the GMAT®
Q32. Is y < x2?
(1)y = x
(2)0 > x > 1
A. |
1 alone, not 2 alone |
|
B. |
2 alone, not 1 alone |
|
C. |
1 and 2 together (need both) |
Answer |
D.1 alone or 2 alone
E.1 and 2 together are not sufficient
Q33. If x/2 divided by y/4 = 10, what percentage of x is x – y?
A. |
40 |
|
B. |
20 |
|
C. |
80 |
Answer |
D.60
E.Cannot be determined
Q34. What is the value of xy?
(1)3x + 4y = 10
(2)7.5x + 10y = 25
A. |
1 alone, not 2 alone |
|
B. |
2 alone, not 1 alone |
|
C. |
1 and 2 together (need both) |
Answer |
D.1 alone or 2 alone
E.1 and 2 together are not sufficient
Q35. If x + y > 0, then:
A. |
x/y > 0 |
|
B. |
xy > 0 |
|
C. |
x – y > 0 |
Answer |
D.xy > –1
E.y + x > –1
Q36. If 5a + 4b = 40 – 2a and a + 5b = 30 + 2b, what is ab?
A.10
B.0
C. |
30 |
Answer |
D. |
40 |
|
E. |
45 |
|
Six timed practice sub-tests 171
Q37. What is the value of x?
(1)x3 – 6x2 + 11x = 6
(2)x > 2
A. |
1 alone, not 2 alone |
|
B. |
2 alone, not 1 alone |
|
C. |
1 and 2 together (need both) |
Answer |
D.1 alone or 2 alone
E.1 and 2 together are not sufficient
172
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