GMAT® Official Guide 2019 Quantitative Review
PS14060700
600
,__ Q) 500
~ 400
-~ C. 300
200
100(320,650)(160,340)
(20,200)
(80,200)
(40,160)
0 +---+-----t---t------t--i-----.
0 100200300400500
lengthPlanning is in progress for a fenced, rectangular
playground with an area of 1,600 square meters.
The graph above shows the perimeter, in meters,
as a function of the length of the playground.
The length of the playground should be how many
meters to minimize the perimeter and, therefore,
the amount of fencing needed to enclose the
playground?(A) 10
(8) 40
(C) 60
(D) 160
(E) 340Geometry
Since values of the perimeter are represented
on the vertical axis, the point on the graph
that corresponds to the minimum perimeter
is the point on the graph that has the least
y-coordinate, which is (40,160). This point
corresponds to a length of 40 meters, which
is what the question asked, and a perimeter of
160 meters.The correct answer is B.PS069133r ~ 4s + 5
Is 1~ 5- Given the inequalities above, which of the following
CANNOT be the value of r?
(A) -20
(B) -5
(C) 0
(D) 5
(E) 20Algebra
Since Isl ::; 5, it follows that -5::; s::; 5. Therefore,
-20::; 4s ::::; 20, and hence -15::; 4s + 5::; 25.
Since 3r::; 4s + 5 (given) and 4s +5 ::; 25 ( end of
previous sentence), it follows that 3r::; 25. Among
the answer choices, 3r::; 25 is false only for r = 20.The corr1!ct answer is E.
PS11647- If m is an even integer, vis an odd integer, and
m > v > 0, which of the following represents the number
of even integers less than m and greater than v?
(A) m-v _ 1
2
(B) m-v-1
:2
(C) m-v
2
(D) m-v-1
(E) m-vArithmetic
Since there is only one correct answer, one
method of solving the problem is to choose
values for m and v and determine which of the
expressions gives the correct number for these
values. For example, if m = 6 and v = l, then there
are 2 even integers less than 6 and greater than
1, namely the evenintegers 2 and 4. As the tablebelow shows ----m - v-l. 1s t h e on 1 y express10n.
' 2
given that equals 2.