GMAT® Official Guide 2019 Quantitative Review
- I + I I I I I I I I I I I + I I I I I >
-9 -8 - 7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 X
PS 08598
- On the number line, the shaded interval is the graph of
which of the following inequalities?
(A) lxl ~ 4
(B) lxl ~ 8
(C) Ix - 21:;::; 4
(D) Ix - 21 ~ 6
(E) IX+ 21:;::; 6
PS124 50
113. Last year members of a certain professional
organization for teachers consisted of teachers
from 49 different school districts, with an average
(arithmetic mean) of 9.8 schools per district. Last
year the average number of teachers at these schools
who were members of the organization was 22. Which
of the following is closest to the total number of
members of the organization last year?(A) 107
(B) 106
(C) 105
(D) 104
(E) 103
PS09294 l- Of all the students in a certain dormitory,
2
are first-
year students and the rest are second-year students. If
i 5 of the first-year students have -not declared a major
and if the fraction of second-year students who have
declared a major is 3 times the fraction of first-year
students who have declared a major, what fraction
of all the students in the dormitory are second-year
students who have not declared a major?(A)(B)(C)(D)(E)1
15
1
5
4
15
1
3(^2) -
5
PS09050
115. If the average (arithmetic mean) of x, y, and z is 7x and
x * 0, what is the ratio of x to the sum of y and z?
(A) 1:21
(B) 1 :~! 0
(C) 1:6
(D) 6:l.
(E) 20:1.
PS02352
- In the coordinate plane, line k passes through the
origin and has slope 2. If points (3,y) and (x,4) are on
line k, then x + y =
(A) 3.:,
(B) 7
(C) 8
(D) 10
(E) 14
PS08661- If a, b, and care constants, a> b > c, and x^3 - x =
(x - a)(x - b)(x - c) for all numbers x, what is the value
of b?
(A) -3
(B) -1
(C) 0
(D) 1
(E) 3
PS06273- 173 + 174 =
(A) 177
(B) 173 (18)
(C) 176 (18)
(D) 2(1'13) + 17
(E) 2(17^3 ) - 17
PS02934- Company K's earnings were $12 million last year. If
this year's earnings are projected to be 150 percent
greater than last year's earnings, what are
Company K's projected earnings this year?
(A) $13.5 million
(B) $15 million
(C) $18 million
(D) $27 million
(E) $30 million