GMAT® Official Guide 2019 Quantitative ReviewPS15469- How many integers x satisfy both 2 < x ~ 4 and
0~x~3?
(A) 5
(Bl 4
(C) 3
(D) 2
(El 1Arithmetic
The integers that satisfy 2 < x S 4 are 3 and 4. The
integers that satisfy OS x S 3 are 0, 1, 2, and 3.
The only integer that satisfies both 2 < x S 4 and
0 ::;; x S 3 is 3, and so there is only one integer that
satisfies both 2 < x S 4 and OS x S 3.The correct answer is E.
PS09322- At the opening of a trading day at a certain stock
exchange, the price per share of stock K was $8.
If the price per share of stock K was $9 at the closing
of the day, what was the percent increase in the price
per share of stock K for that day?
(A) 1.4%
(B) 5.9%
(Cl 11.1%
(D) 12.5%
(E) 23.6%Arithmetic
An increase from $8 to $9 represents an increaseof(^9 ;^8 X 100 )% = l~O % = 12.5%.
The correct answer is D.PS14237- As shown in the diagram above, a lever resting on a
fulcrum has weights of w 1 pounds and w 2 pounds, located
d 1 feet and d 2 feet from the fulcrum. The lever is balanced
and w 1 d 1 = w 2 d 2. Suppose w 1 is 50 pounds and w 2 is
30 pounds. If d 1 is 4 feet less than d 2 , what is d 2 , in feet?
(A) 1.5
(B) 2.5
(C) 6
(D) 10
(E) 20
Algebra
Given w 1 d 1 = w2d2, w 1 = 50, w 2 = 30, and d 1 =
d 2 - 4, it follows that 50(d 2 - 4) = 30d2, and so
50(d2 -4)=30d2 given
50d 2 - 200 = 30d 2 distributive principle
20d 2 = 200 add 200 - 30d 2 to both sides
d 2 = 10 divide both sides by 20The correct answer is D.
PS00037- The number of rooms at Hotel G is 10 less than twice
the number of rooms at Hotel H. If the total number
of rooms at Hotel G and Hotel H is 425, what is the
number of rooms at Hotel G?
(A) 140
(B) 180
(Cl 200
(D) 240
(El 280
Algebra , n
Let G be the number of rooms in Hotel G and let
Hbe the number of rooms in Hotel H. Expressed
in symbols, the given information is the following
system of equations{G =2H -10
425=G+H