GMAT® Official Guide 2019 Quantitative Review
Thus, x = 1; SUFFICIENT.
The correct answer is D;
each statement alone is sufficient.
DS07568- Is the median of the five numbers a, b, c, d, and e
equal to d?
(1) a< c < e
(2) b < d < cArithmetic
Determine if the median of the five numbers, a, b,
c, d, and e, is equal to d.(1) This indicates that a< c < e, but does not
indicate a relationship of b and d with a, c,
and e. For example, if a= 5, b = 1, c = 10,
d = 7, and e = 15, then a< c < e, and dis
the median. However, if a = 5, b = 1, c = 10,
d = 2, and e = 15, then a< c < e, and a, not d,
is the median; NOT sufficient.
(2) This indicates that b < d < c, but does not
indicate a relationship of a and e with b, d,
and c. For example, if a = 5, b = 1, c = 10,
d = 7, and e = 15, then b < d < c, and dis
the median. However, if a = 5, b = 1, c = 10,
d = 2, and e = 15, then b < d < c, and a, not d,
is the median; NOT sufficient.
Taking (1) and (2) together is of no more help
than either (1) or (2) taken separately since
the same examples used to show that (1) is not
sufficient also show that (2) is not sufficient.The correct answer is E;
both statements together are still not sufficient.
0S10383- During a certain bicycle ride, was Sherry's
average speed faster than 24 kilometers per hour?
(1 kilometer= 1,000 meters)
(1) Sherry's average speed during the bicycle ride
was faster than 7 meters per second.
(2) Sherry's average speed during the bicycle ride
was slower than 8 meters per second.Arithmetic i: IIP ro e
This problem can be solved by converting
24 kilometers per hour into meters per second.
First, 24 kilometers is equivalent to 24,000 metersand 1 hour is equivalent to 3,600 seconds. Then,
traveling 24 kilometers in 1 hour is equivalent
to traveling 24,000 meters in 3,600 seconds, or
24 000 2
' = : 6 - meters per second.
3,600 3(1) This indicates that Sherry's average speed
was faster than 7 meters per second, which
is faster than 61 meters per second and,
3
therefore, faster than 24 kilometers per
hour; SUFFICIENT.
(2) This indicates that Sherry's average speed
was slower than 8 meters per second. Her
average speed could have been 7 meters
per second (since 7 < 8), in which case her
average speed was faster than 61 meters
3
per second and, therefore, faster than
24 kilometers per hour. Or her average
spee:d could have been 5 meters per second
(since 5 < 8) , in which case her average
speed was not faster than 61 meters per
3
second and, therefore, not faster than
24 kilometers per hour; NOT sufficient.
The correct answer is A;
statement 1 alone is sufficient.
0S13907- Working together, Rafael and Salvador can tabulate a
certain set of data in 2 hours. In how many hours can
Rafael tabulate the data working alone?
(1) Working alone, Rafael can tabulate the data in
3 hours less time than Salvador, working alone,
can tabulate the data.
(2) Working alone, Rafael can tabulate the data in
l the time that Salvador, working alone, can
2
tabulate the data.Algebra
We are given that Rafael and Salvador, working
together, can tabulate the set of data in two
hours. That is, if Rafael tabulates data at the
rate of R units of data per hour and Salvador
tabulates the data at the rate of S units per hour,
then, if the set of data is made up of D units, then
2R + 2S = D. Can we determine how much time,
in hours, it takes Rafael to tabulate the data if
working alone?