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Steven and Stuart took a job in different companies at the same time. Steven’s salary increased by a fixed amount at the

Steven and Stuart took a job in different companies at the same time. Steven’s salary increased by a fixed amount at the end of every year and Stuart’s salary increased by a fixed percentage at the end of every year. If the increase in the salary of Steven at the end of the third year was equal to t...


Which of the following data sets has the third-largest standard deviation?

Which of the following data sets has the third-largest standard deviation?

(A) \(\{1, 2, 3, 4, 5\}\)
(B) \(\{2, 3, 3, 3, 4\}\)
(C) \(\{2, 2, 2, 4, 5\}\)
(D) \(\{0, 2, 3, 4, 6\}\)
(E) \(\{-1, 1, 3, 5, 7\}\)

Answer: A

Source: Manhattan GMAT


Janson's salary and Karen's salary were each \(p\) percent greater in \(1998\) than in \(1995.\) What is the value of

Janson's salary and Karen's salary were each \(p\) percent greater in \(1998\) than in \(1995.\) What is the value of \(p?\)

(1) In \(1995\) Karen's salary was \(\$2,000\) greater than Jason's.
(2) In \(1998\) Karen's salary was \(\$2,440\) greater than Jason's.

Answer: C

Source: GMAT Prep


In a group of 68 students, each student is registered for at least one of three classes – History, Math and English.

In a group of 68 students, each student is registered for at least one of three classes – History, Math, and English. Twenty-five students are registered for History, twenty-five students are registered for Math, and thirty-four students are registered for English. If only three students are registe...


If \(n\) is a positive integer, is \(n^3 - n\) divisible by \(4?\)

If \(n\) is a positive integer, is \(n^3 - n\) divisible by \(4?\)

(1) \(n = 2k + 1,\) where \(k\) is an integer.
(2) \(n^2 + n\) is divisible by \(6.\)

Answer: A

Source: Official Guide


A soccer competition consisted of two rounds. In each round, the 20 teams competing were divided randomly into 10 pairs,

A soccer competition consisted of two rounds. In each round, the 20 teams competing were divided randomly into 10 pairs, and each pair played a single game. None of the games resulted in a tie, and of the teams that lost in the first round, 7 also lost in the second round. How many teams won both of...


If \(k, m,\) and \(t\) are positive integers and \(\dfrac{k}6 + \dfrac{m}4 = \dfrac{t}{12},\) do \(t\) and \(12\) have

If \(k, m,\) and \(t\) are positive integers and \(\dfrac{k}6 + \dfrac{m}4 = \dfrac{t}{12},\) do \(t\) and \(12\) have a common factor greater than \(1?\)

(1) \(k\) is a multiple of \(3.\)

(2) \(m\) is a multiple of \(3.\)

Answer: A

Source: Official Guide


If two distinct integers \(x\) and \(y\) are randomly selected from the integers between \(1\) and \(10,\) inclusive,

If two distinct integers \(x\) and \(y\) are randomly selected from the integers between \(1\) and \(10,\) inclusive, what is the probability that \(\dfrac{x^2-y^2}4\) is a positive odd integer? (A) \(\dfrac1{12}\) (B) \(\dfrac1{14}\) (C) \(\dfrac1{15}\) (D) \(\dfrac18\) (E) \(\dfrac2{15}\) Answer: ...


For a convention, a hotel charges a daily room rate of \(\$120\) for \(1\) person and \(x\) dollars for each additional

For a convention, a hotel charges a daily room rate of \(\$120\) for \(1\) person and \(x\) dollars for each additional person. What is the charge for each additional person? (1) The daily cost per person for \(4\) people sharing the cost of a room equally is \(\$45.\) (2) The daily cost per person ...


A triathlon consists of three legs: a swim, a bike ride, and a run. A race organizer analyzes the results of a certain

A triathlon consists of three legs: a swim, a bike ride, and a run. A race organizer analyzes the results of a certain triathlon and observes that the ratio of swim distance to bike distance to run distance was 1 to 50 to 12 and that the ratio of average swim time to average bike time to average run...


If \(x, y,\) and \(z\) are positive integers such that \(x^4y^3=z^2,\) is \(x^9-y^6\) odd?

If \(x, y,\) and \(z\) are positive integers such that \(x^4y^3=z^2,\) is \(x^9-y^6\) odd?

(1) \(\dfrac{x^4y^3}{x^2+y^2}\) can be written in the form \(4k+3,\) where \(k\) is a positive integer.

(2) \(z=x+y\)

Answer: D

Source: e-GMAT


Which of the following equations represents a line parallel to line \(l\) in the figure above?

4.jpg
Which of the following equations represents a line parallel to line \(l\) in the figure above?

(A) \(2y - 3x = 0\)

(B) \(2y + 3x = 0\)

(C) \(2y - 3x = 6\)

(D) \(3y + 2x = 6\)

(E) \(3y - 2x = 9\)

Answer: B

Source: Manhattan GMAT


If \(x\) is an integer, is \(x^3\) even?

If \(x\) is an integer, is \(x^3\) even?

(1) \(2x + 2\) is even.

(2) \(3x + 1\) is even.

Answer: B

Source: Manhattan GMAT

by VJesus12

Sat Oct 16, 2021 4:08 am
Forum: Data Sufficiency
Topic: If \(x\) is an integer, is \(x^3\) even?
Replies: 0
Views: 38

The table above shows the schedule for the bus routes between three pairs of cities. If Ash plans to travel by bus from

2.jpg The table above shows the schedule for the bus routes between three pairs of cities. If Ash plans to travel by bus from City A to City B, to City C, and back to City A, what is the shortest possible duration, in minutes, of his entire trip? (A) 120 (B) 130 (C) 140 (D) 150 (E) 160 Answer: C So...


Is \(x^5 > x^4?\)

Is \(x^5 > x^4?\)

(1) \(x^3 > -x\)
(2) \(\dfrac1{x} < x\)

Answer: C

Source: Veritas Prep

by VJesus12

Sat Oct 16, 2021 4:04 am
Forum: Data Sufficiency
Topic: Is \(x^5 > x^4?\)
Replies: 0
Views: 37