GMAT® Official Guide 2019 Quantitative Review
PS06273- 173 + 174 =
(Al 177
(Bl 173 (18l
(Cl 176 (18l
(Dl 2(17^3 l + 17
(El 2(17^3 l - 1 7Arithmetic
Since 173 = 17^3 x 1 and 174 = 17^3 x 17 then 173
may be factored out of each term. It follows ' that
173 + 174 = 17^3 (1 + 17) = 17^3 (18).The correct answer is B.
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?
(Al $13.5 million
(Bl $15 million
(Cl $18 million
(Dl $27 million
(El $30 millionArithmetic
If one quantity xis p percent greater than
another quantity y, then x = y + (_L) y. Let
100
y represent last year's earnings and x represent
this year's earnings, which are projected to be
150 percent greater than last year's earnings.Then, x = y + (
150
) y = y + 1.5 y = 2.5 y. Since
100
last year's earnings were $12 million, this year's
earnings are projected to be 2.5($12 million)=
$30 million.The correct answer is E.PS054 13- Jonah drove the first half of a 100-mile trip in x hours
and the second half in y hours. Which of the following
is equal to Jonah's average speed, in miles per hour,
for the entire trip?
(Al^50
x+y(Bl^100
x+ y(C) 25 25 -+-
X y(D)^50 -+-^50
X y(E)^100 -+-^100
X yAlgebraU smg. average spee d = total distance. ,. 1t f, o ll ows
total time
that Jonah's average speed for his entire 100-miletnp1s--..^100.
x+y
The correct answer is B.
PS06135- What is the greatest number of identical bouquets that
can be made out of 21 white and 91 red tulips if no
flowers are to be left out? (Two bouquets are identical
whenever the number of red tulips in the two bouquets
is equal and the number of white tulips in the two
bouquets iis equal.)
(Al 3
(Bl 4
(C) 5
(D) 6
(E) 7Arithmetic
Since the question asks for the greatest number of
bouquets that can be made using all of the flowers,
the number of bouquets will need to be the greatest
common factor of21 and 91. Since 21 = (3)(7) and
91 = (7)(13), the greatest common factor of 21 and
91 is 7. 'Therefore, 7 bouquets can be made, each
with 3 white tulips and 13 red tulips.The correct answer is E.