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Quentin put an amount of money into each of two new investments, \(X\) and \(Y.\) Investment \(X\) pays \(x\%\) simple

Quentin put an amount of money into each of two new investments, \(X\) and \(Y.\) Investment \(X\) pays \(x\%\) simple annual interest and investment \(Y\) pays \(y\%\) simple annual interest. After \(1\) year, the average (arithmetic mean) interest earned by investments \(X\) and \(Y\) was \(7.6\%....


If \(a\) and \(b\) are both single-digit positive integers, is \(a + b\) a multiple of \(3?\)

If \(a\) and \(b\) are both single-digit positive integers, is \(a + b\) a multiple of \(3?\)

(1) The two-digit number \(ab\) (where \(a\) is in the tens place and \(b\) is in the one's place) is a multiple of \(3.\)

(2) \(a - 2b\) is a multiple of \(3.\)

Answer: D

Source: Manhattan GMAT


On Saturday morning, Malachi will begin a camping vacation and he will return home at the end of the first day on which

On Saturday morning, Malachi will begin a camping vacation and he will return home at the end of the first day on which it rains. If on the first three days of the vacation the probability of rain on each day is 0.2, what is the probability that Malachi will return home at the end of the day on the ...


If \(x\) and \(y\) are positive integers, what is the greatest common divisor of \(x\) and \(y?\)

If \(x\) and \(y\) are positive integers, what is the greatest common divisor of \(x\) and \(y?\)

(1) \(2x + y = 73\)
(2) \(5x - 3y = 1\)

Answer: D

Source: Manhattan GMAT


Clarissa will create her summer reading list by randomly choosing 4 books from the 10 books approved for summer reading.

Clarissa will create her summer reading list by randomly choosing 4 books from the 10 books approved for summer reading. She will list the books in the order in which they are chosen. How many different lists are possible?

A. 6
B. 40
C. 210
D. 5,040
E. 151,200

Answer: D

Source: Official Guide


If \(0<ab<ac,\) is \(a\) negative?

If \(0<ab<ac,\) is \(a\) negative?

(1) \(c<0\)

(2) \(b>c\)

Answer: D

Source: Manhattan GMAT

by M7MBA

Sun Sep 19, 2021 11:29 am
Forum: Data Sufficiency
Topic: If \(0<ab<ac,\) is \(a\) negative?
Replies: 0
Views: 14

If \(x\) is to be chosen at random from the set \(\{1, 2, 3, 4\}\) and \(y\) is to be chosen at random from the set

If \(x\) is to be chosen at random from the set \(\{1, 2, 3, 4\}\) and \(y\) is to be chosen at random from the set \(\{5, 6, 7\},\) what is the probability that \(xy\) will be even? (A) \(\dfrac16\) (B) \(\dfrac13\) (C) \(\dfrac12\) (D) \(\dfrac23\) (E) \(\dfrac56\) Answer: D Source: Official Guide


On her way home from work, Janet drives through several tollbooths. Is there a pair of these tollbooths that are less

On her way home from work, Janet drives through several toll booths. Is there a pair of these tollbooths that are less than 10 miles apart? (1) The first tollbooth and the last tollbooth are 25 miles apart. (2) Janet drives through 4 tollbooths on her way home from work. Answer: C Source: GMAT Prep


If the price of a commodity is directly proportional to \(m^3\) and inversely proportional to \(q^2,\) which of the

If the price of a commodity is directly proportional to \(m^3\) and inversely proportional to \(q^2,\) which of the following values of \(m\) and \(q\) will result in the highest price for the commodity? A. \(m=3, q=2\) B. \(m=12, q=12\) C. \(m=20, q=20\) D. \(m=30, q=36\) E. \(m=36, q=72\) Answer: ...


An \(n\)-sided die has sides labeled with the numbers \(1\) through \(n,\) inclusive, and has an equal probability of

An \(n\)-sided die has sides labeled with the numbers \(1\) through \(n,\) inclusive, and has an equal probability of landing on any side when rolled. If the die is rolled twice, what is the probability of rolling \(1\) both times? (1) If the die is rolled twice, the probability that the two rolls a...


In the table above, what is the least number of table entries that are needed to show the mileage between each city and

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In the table above, what is the least number of table entries that are needed to show the mileage between each city and each of the other five cities?

(A) 15
(B) 21
(C) 25
(D) 30
(E) 36

Answer: A

Source: Official Guide


\(P, Q, R, S, T, U\) are positive integers, such that \(\dfrac{S}{P}+\dfrac{T}{Q}=\dfrac{U}{R}.\) Is \(P\) odd?

\(P, Q, R, S, T, U\) are positive integers, such that \(\dfrac{S}{P}+\dfrac{T}{Q}=\dfrac{U}{R}.\) Is \(P\) odd?

(1) \(Q\) and \(R\) are odd.
(2) \(S\) is odd.

Answer: C

Source: Manhattan GMAT


Each \(\cdot\) in the mileage table above represents an entry indicating the distance between a pair of the five cities.

Table.png Each \(\bullet\) in the mileage table above represents an entry indicating the distance between a pair of the five cities. If the table were extended to represent the distances between all pairs of \(30\) cities and each distance were to be represented by only one entry, how many entries ...


What is the maximum number of rectangular blocks, each with dimensions \(12\) centimeters by \(6\) centimeters by \(4\)

What is the maximum number of rectangular blocks, each with dimensions \(12\) centimeters by \(6\) centimeters by \(4\) centimeters, that will fit inside a rectangular box \(X?\) (1) When box \(X\) is filled with the blocks and rests on a certain side, there are \(25\) blocks in the bottom layer. (2...