GMAT® Official Guide 2019 Quantitative Review
(2) This implies that (8. 7% - 8.4%)t = 120,000
or (0.3%)t = 120,000. This equation can be
solved fort; SUFFICIENT.
The correct answer is D;
each statement alone is sufficient.DS17112 ( pJ4- If x 1= 0, what is the value of :q?
255.(1) p = q
(2) X= 3Arithmetic; Algebra Arithmetic operations;
Simplifying expressions
(1) Since p = q, it follows that( :: J = ( :: J = (1)4; SUFFICIENT.
(2) Since x = 3 (and, therefore, x -:t 1) and the
values of p or q are unknown, the value ofthe expression ( :: )
4
cannot be determined;NOT sufficient.
The correct answer is A;
statement 1 alone is sufficient.
DSl 7153
On Monday morning a certain machine ran continuously
at a uniform rate to fill a production order. At what time
did it completely fill the order that morning?(1)(2)The machine began filling the order at 9:30 a.m.The machine had filled _!_ of the order by
5 2
10:30 a.m. and
6of the order by 11: 10 a.m.Arithmetic Arithmetic opera ions
(1) This merely states what time the machine
began filling the order; NOT sufficient.
(2) In the 40 minutes between 10:30 a.m. and
11: 10 a.m. ,2-_ l = 1 of the order was filled.
6 2 3
Therefore, the entire order was completely
filled in 3 X 40 = 120 minutes, or 2 hours.
Since half the order took 1 hour and was
filled by 10:30 a.m., the second half of the
order, and thus the entire order, was filled by
11:30 a.m.; SUFFICIENT.
The correct answeris B;
statement 2 alone is sufficient.QA , , p B
0DS1710'/- What is the radius of the circle above with center O?
(1) The ratio of OP to PQ is 1 to 2.
(2) P is the midpoint of chord AB.Geometry Circles
(1) It can be concluded only that the radius is
3 times the length of OP, which is
unknown; NOT sufficient.
(2) It rnn be concluded only that AP= PB, and
the chord is irrelevant to the radius; NOT
sufficient.
Together, (1) and (2) do not give the length of any
line segment shown in the circle. In fact, if the
circle and all the line segments were uniformly
expanded by a factor of, say, 5, the resulting circle
and line segments would still satisfy both (1) and
(2). Therefore, the radius of the circle cannot be
determined from (1) and (2) together.The correct answer is E;
both statements together are still not sufficient.
DS15618- If a and bare positive integers, what is the value of the
product ab?
(1) The least common multiple of a and bis 48.
(2) The greatest common factor of a and b is 4.Arithmetic Proper 1e!o f u bers
Determine the value of the product of positive
integers a and b.(1) This indicates that the least common multiple
(1cm) of a and b is 48, which means that 48
is the least integer that is a multiple of both a
and b. If a= 24 and b = 16, then the multiples
of a are 24, 48, 72, ... , and the multiples of b
are 16, 32, 48, 64, .... So, 48 is the 1cm of 24
and 16, and ab= (24)(16). However, if a= 48
and b = 16, then the multiples of a are 48, 96,
... , and the multiples of bare 16, 32, 48, 64,