Six timed practice sub-tests 187
Sub-test 5: 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.
188 How to pass the GMAT®
Sub-test 5
Q1. What is the area of the rectangle ABCD?
B C
10 in
A D 6 in
A.64 in2
B.48 in2
C. |
24 in2 |
Answer |
D. |
8 in2 |
|
E. |
6 in2 |
|
Q2. If 2x + 3y = 20 and 6x + 9y = 60, then x is:
A. |
4 |
|
B. |
5 |
|
C. |
2 |
Answer |
D.3
E.Cannot be determined
Q3. Is x > 0?
(1)x2 – x = 0
(2)2x2 – 2x = 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
Q4. How many 3-digit numbers can you form with the numbers 345 if you can use each number just once in each of the 3-digit numbers you create?
A.27
B.12
C. |
9 |
Answer |
D. |
6 |
|
E. |
3 |
|
Six timed practice sub-tests 189
Q5. Which of the following inequalities is the solution to the inequality 2x2 + 1 < x + 1?
A.1/2 > x > 0
B.–1 < x < 0
C. x < 1/2 |
Answer |
D.x < 0
E.Cannot be determined
Q6. Is n divisible by 6 with remainder 1?
(1)n – 7 is divisible by 6 with integer result
(2)n – 1 is divisible by 6 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
Q7. What is the probability of drawing two queens consecutively from a pack of 52 cards if the first card is not replaced and then the second card is drawn (assume that there are 4 queens in the pack before the first card was drawn)?
A.1/169
B.3/52
C. 9/103 |
Answer |
D.1/13
E.1/221
Q8. If 2x + 4y = 10, what percentage of x is 5 – 2y?
A. |
10% |
|
B. |
200% |
|
C. |
150% |
Answer |
D.100%
E.Cannot be determined
Q9. Which of these two is the greater, x or y?
(1)xy < 0
(2)x/2y < 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
190 How to pass the GMAT®
Q10. If 79 is a prime number, then identify the prime factors of 44; if it is not a prime number then identify the prime factors of 18.
A. |
2 |
|
B. |
3 |
|
C. |
5 |
Answer |
D.7
E.11
Q11. If x > 2 and y < –2, then:
A.x/y > 1
B.x/y < –1
C. x/y < 0 |
Answer |
D.x + y > 0
E.xy > 0
Q12. 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)a3 is negative
(2)a1 is negative
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 191
Q13. What is the difference between the volumes of these two shapes (the radius of both is 3 cm, treat as 3.14, and work to the nearest whole cm3)?
Height
5 cm
Height
3 cm
Cylinder |
Cone |
A.85 cm3
B.47 cm3
C. |
38 cm3 |
Answer |
D. |
32 cm3 |
|
E. |
28 cm3 |
|
Q14. If 5x + 4y = 22 and 3x + 5y = 21, then x is:
A.2.1
B.2.2
C. |
2.5 |
Answer |
D. |
2.0 |
|
E. |
2.8 |
|
Q15. Is (x/y)2 > 1?
(1)yx < x2
(2)Both x and y have the same sign
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
Q16. If 5a + 4b = 20 and 4a + 5b = 30, what is a + b?
A. |
50/9 |
|
B. |
40/9 |
|
C. |
90/5 |
Answer |
D.90/4
E.220/9
192 How to pass the GMAT®
Q17. If x = z/y, y = z/x and x/(y/z) = 64, x is:
A. |
2 |
|
B. |
4 |
|
C. |
8 |
Answer |
D.1
E.16
Q18. Is 2x/5 – 3y/4 > 0?
(1)x > 2y
(2)x > 17/8 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
Q19.
|
Ranked |
(Change |
|
Position |
from |
|
2005 |
2004) |
|
|
|
Singapore |
1 |
(+1) |
|
|
|
USA |
2 |
(–1) |
|
|
|
South Korea |
4 |
(–1) |
|
|
|
Canada |
6 |
(+2) |
|
|
|
Mexico |
8 |
(–2) |
|
|
|
China |
41 |
(+9) |
|
|
|
France |
20 |
(–3) |
Information technology ranking index
Which statement(s) can you infer as true?
A.France in 2004 was ranked 23rd (23 – 3 = 20).
B.In 2004 Mexico occupied Canada’s position.
C.The United States and South Korea have both slipped down the index.
D.In 2004 China was ranked 50th.
E.Singapore has returned to the top of the index.
Answer
Six timed practice sub-tests 193
Q20. If 2a – 6b = 2 and 3b – 3a = 9, what is ab?
A. |
–4 |
|
B. |
10 |
|
C. |
–2 |
Answer |
D.–1/2
E.–10
Q21. What is the value of xy?
(1)x = 3y
(2)y2 = 6
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
Q22. What is the probability of drawing the letters G, then M, then A and finally, T (in the order it spells GMAT®) from a set of alphabetical cards (one card for each letter of the alphabet) if each card is replaced before the next card is drawn?
A.1/26
B.1/1044
C. 1/676 |
Answer |
D.1/6764
E.1/264
Q23. For which values of x is 2x2 – 3x greater than x?
A.1 > x > 3
B.0 > x > 2
C. –4 < x < 3 |
Answer |
|
D. |
0 < x < 2 |
|
E. |
None |
|
Q24. What is the value of x?
(1)1/x + 1/y = 5/12
(2)y = 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
194 How to pass the GMAT®
Q25. If the sum of three consecutive numbers is 177, then the sum of the two lowest values in the series is:
A.115
B.116
C. |
117 |
Answer |
D. |
118 |
|
E. |
119 |
|
Q26. If 1/(a + b) = 6 and 1/(a – b) = 12, then 1/2a is:
A. |
8 |
|
B. |
4 |
|
C. |
6 |
Answer |
D.18
E.12
Q27. Is x is positive or negative?
(1)x2 – 5x = –6
(2)4/x = x
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
Q28. If $105,000 is spent on land and building a house, how much did the land cost if the cost of building the house was 25% less than the cost of the land?
A.$45,000
B.$50,000
C. |
$55,000 |
Answer |
D. |
$60,000 |
|
E. |
$65,000 |
|
Q29. If 1/y + 1/x < 1/2:
A. |
xy < x + y |
|
B. |
2xy < x + y |
|
C. xy < 2x –2y |
Answer |
|
D.xy < 2x + 2y
E.None of the above
Six timed practice sub-tests 195
Q30. A man, a woman and a girl take 5 hours to label 1,000 packages. How long would the woman take to label 100?
(1)The woman works 10% faster than the man who works 15% faster than the girl
(2)The man and the girl together label 10 in 5 minutes
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
Q31. If (x + y)/(x – y) = 1/2 and (x + y)/(y + 1) = 2, then y is:
A –1/2
B.1/2
C. |
–4 |
Answer |
D. |
2 |
|
E. |
–1 |
|
Q32. If xy = 1 + 2x and 2x = 1, then y is:
A. |
4 |
|
B. |
2 |
|
C. |
1 |
Answer |
D.8/3
E.None of the above
Q33. Is y > x2?
(1)y > x3
(2)x > 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
Q34. Which of the following inequalities is the solution to the inequality (x/2) + 3 < (x/3) + 2?
A.x < –2
B.x < –3
C. |
x < –6 |
Answer |
D. |
x > –12 |
|
E.x < 0
196 How to pass the GMAT®
Q35. A sequence of numbers a1, a2, a3 etc. is generated using the following algorithm: an+1 = 3an. Does the number 1 appear in the sequence if:
(1)a1 is positive
(2)a5 – a4 = 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
Q36. If 57x + 29y = 105 and 4x + 58y = 100, then the value of y is nearest:
A. |
2 |
|
B. |
52/29 |
|
C. |
1.655 |
Answer |
D.31
E.Cannot be determined
Q37. Is (x – y)(x + y) > 0?
(1)Both x and y are positive
(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