GMAT Official Guide Quantitative Review 2019_ Book

(singke) #1
4.5 Answer Explanations

PSOl 949


  1. A company sells radios for $15.00 each. It costs the


company $14.00 per radio to produce 1,000 radios
and $13.50 per radio to produce 2,000 radios. How
much greater will the company's gross profit be from
the production and sale of 2,000 radios than from the
production and sale of 1,000 radios?
(Al $ 500
(B) $ 1 , 000
(Cl $1,500
(D) $2,000
(El $2,500

Arithmetic
If the company produces and sells 1,000 radios,
its gross profit from the sale of these radios is
equal to the total revenue from the sale of these
radios minus the total cost. The total cost is equal
to the number of radios produced multiplied by
the production cost per radio: 1,000 x $15.00.
The total revenue is equal to the number of radios
sold multiplied by the selling price:
1,000 x $14.00. The gross profit in this case is
therefore 1,000 x $15.00— 1,000 X $14.00 =
1,000 X ($15.00 —$14.00) = 1,000 ($1.00) =
$1,000. If 2,000 radios are produced and sold, the
total cost is equal to 2,000 x $13.50 and the total
revenue is equal to 2,000 x $15.00. The gross
profit in this case is therefore 2,000 x $15.00
-2,000 X $13.50 = 2,000 X ($15.00 -$13.50) =
2,000 x ($1.50) = $3,000. This profit of $3,000 is
$2,000 greater than the gross profit of $1,000
from producing and selling 1,000 radios.

1h e correct answer 1s D.
PS06555


  1. Which of the following represent positive numbers?


Arithmetic
Find th e va 1 ue o f eac h expression to d etermme 1f
it is positive.

I.—3—(-5) = -3 + 5 = 2, which is positive.

II. (-3)(—5) = 15, which is positive.
III. -^5 - (-^3 ) = -^5 + 3 = -2, which is not
positive.
The correct answer is D.
PS02948


  1. If - 1s 2 more X. than—X , then x =
    4 8


(A} 4
(B} 8
(C}^16
(D}^32
(E}^64

Algebra
Write an equation for the given information and
solve for x.

笠=2+竺
4 8

(8)勹)= (8)厂)


2x = l6+x
X =16

Th e correct answer 1s C.
PS09983


  1. Point X lies on side BC of rectangle ABCD, which has
    length 12 and width 8. What is the area of triangular
    region AXO?


I. —3-(-5)
II. (—3)(—5)
Ill. - 5 - (-3)

(Al I only
(Bl II only
(Cl Ill only
(D) I and II
(E) II and Ill

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