GMAT Official Guide Quantitative Review 2019_ Book

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GMAT® Official Guide 2019 Quantitative Review


DS\2752
290. In the xy-plane, lines k and £ intersect at the point (1, 1).
Is the y-intercept of k greater than the y-intercept of £?


(1) The slope of k is less than the slope of£.
(2) The slope of £ is positive.
DS\45 88


  1. A triangle has side lengths of a, b, and c centimeters.
    Does each angle in the triangle measure less than
    90 degrees?


(1) The 3 semicircles whose diameters are the
sides of the triangle have areas that are equal to
3 cm^2 , 4 cm^2 , and 6 cm^2 , respectively.
(2) C < a + b < C + 2
DS00890


  1. Each of the 45 books on a shelf is written either in
    English or in Spanish, and each of the books is either
    a hardcover book or a paperback. If a book is to be
    selected at random from the books on the shelf, is the
    probability less than ½ that the book selected will be a
    paperback written in Spanish?


(1) Of the books on the shelf, 30 are paperbacks.
(2) Of the books on the shelf, 15 are written in
Spanish.
DS06683
293. A small school has three foreign language classes, one
in French, one in Spanish, and one in German. How
many of the 34 students enrolled in the Spanish class
are also enrolled in the French class?


(1) There are 27 students enrolled in the French
class, and 49 students enrolled in either the
French class, the Spanish class, or both of these
classes.
(2) One-half of the students enrolled in the Spanish
class are enrolled in more than one foreign
language class.
0S04910



  1. If S is a set of four numbers w, x, y, and z, is the range
    of the numbers in S greater than 2?






(1) w-z>2
(2) z is the least number in S.
DS12187
Last year^3
5

of the members of a certain club were
males. This year the members of the club include all
the members from last year plus some new members.
Is the fraction of the members of the club who are
males greater this year than last year?

(1) More than half of the new members are male.
(2) The number of members of the club this year
is ~ the number of members last year.
DS\ 3640
296. If a, b, and c are consecutive integers and
0 < a< b < c, is the product abc a multiple of 8?

(1) The product ac is even.
(2) The product be is a multiple of 4.
DS\3837


  1. Mand N are integers such that 6 < M < N. What is the
    value of N?


(1) The greatest common divisor of Mand N is 6.
(2) The lleast common multiple of Mand N is 36.
DS0 7575


  1. Stations X and Y are connected by two separate,
    straight, parallel rail lines that are 250 miles long.
    Train P and train Q simultaneously left Station X and
    Station Y, respectively, and each train traveled to the
    other's point of departure. The two trains passed each
    other after traveling for 2 hours. When the two trains
    passed, which train was nearer to its destination?


(1) At the time when the two trains passed, train P
had averaged a speed of 70 miles per hour.
(2) Train Q averaged a speed of 55 miles per hour
for the entire trip.

DS0 1613


  1. In the xy-plane shown, the shaded region consists of
    all points that lie above the graph of y = x^2 - 4x and
    below the x-axis. Does the point (a,b) (not shown) lie in
    the shaded region if b < 0?


(1) 0 <a< 4
(2) a^2 - 4a < b
DS0 1685
300. If a and b are positive integers, is lfab an integer?

(1) .fa is an integer.

(2) b=.fa
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