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In the $xy$-plane shown, is the slope of the line $l$ non-negative?

1. The line passes through quadrants $II$ and $III$

2. For each pair of coordinates $(x,y)$ lying on line, the product of $x$ and $y$ is not always non-negative

The OA is E

by BTGmoderatorLU: Thu Jan 09, 2025 8:19 am; Forum: Data Sufficiency; Topic: In the $xy$-plane shown, is the slope of the line $l$ non-negative?; Replies: 0; Views: 61

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Find the midpoint of segment $MN$ if point $M$ is $(4,6)$ and point $P$ is $(-2,14)?$

Problem Solving

Find the midpoint of segment $MN$ if point $M$ is $(4,6)$ and point $P$ is $(-2,14)?$

Find the midpoint of segment $MN$ if point $M$ is $(4,6)$ and point $P$ is $(-2,14)?$

A. $(2,1)$
B. $(2,20)$
C. $(6,8)$
D. $(1,10)$
E. $(10,12)$

The OA is D

by BTGmoderatorLU: Thu Jan 09, 2025 8:12 am; Forum: Problem Solving; Topic: Find the midpoint of segment $MN$ if point $M$ is $(4,6)$ and point $P$ is $(-2,14)?$; Replies: 0; Views: 35

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In the rectangular coordinate system above, is the area of the region $MNP$ greater than $30?$

Data Sufficiency

In the rectangular coordinate system above, is the area of the region $MNP$ greater than $30?$

In the rectangular coordinate system above, is the area of the region $MNP$ greater than $30?$

1) The coordinates of point $N$ are $(6,6)$

2) $MN = NP$

The OA is C

by BTGmoderatorLU: Thu Jan 09, 2025 8:07 am; Forum: Data Sufficiency; Topic: In the rectangular coordinate system above, is the area of the region $MNP$ greater than $30?$; Replies: 0; Views: 33

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The figure below shows the graph of a certain equation in the $xy$-plane. Which of the following could be the equation

Problem Solving

The figure below shows the graph of a certain equation in the $xy$-plane. Which of the following could be the equation

The figure below shows the graph of a certain equation in the $xy$-pane. Which of the following could be the equation?

A. $x=|y|-1$
B. $y=|x|-1$
C. $|y|=x-1$
D. $y=x+1$
E. $|x|=y-1$

The OA is B

by BTGmoderatorLU: Thu Jan 09, 2025 7:58 am; Forum: Problem Solving; Topic: The figure below shows the graph of a certain equation in the $xy$-plane. Which of the following could be the equation; Replies: 0; Views: 30

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At a store, Jonah bought only CDs and DVDs. If he bought a total of $12$ items, how many CDs did he buy?

Data Sufficiency

At a store, Jonah bought only CDs and DVDs. If he bought a total of $12$ items, how many CDs did he buy?

At a store, Jonah bought only CDs and DVDs. If he bought a total of $12$ items, how many CDs did he buy?

1) The average price of each DVD was $\$10$

2) The average price of each CD was $\$16,$ and Jonah spent $\$80$ on CDs

The OA is B

by BTGmoderatorLU: Thu Jan 02, 2025 12:02 pm; Forum: Data Sufficiency; Topic: At a store, Jonah bought only CDs and DVDs. If he bought a total of $12$ items, how many CDs did he buy?; Replies: 0; Views: 43

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Becky sets up a hot dog stand in her busy neighborhood and purchases $x$ pounds of hot dogs for $p$ dollars per

Problem Solving

Becky sets up a hot dog stand in her busy neighborhood and purchases $x$ pounds of hot dogs for $p$ dollars per

Becky sets up a hot dog stand in her busy neighborhood and purchases $x$ pounds of hot dogs for $p$ dollars per pound. If she has to throw away $s$ pounds of hot dogs due to spoilage and she sells the rest of the hot dogs for $d$ dollars per pound, which of the following represents the net p...

by BTGmoderatorLU: Thu Jan 02, 2025 11:44 am; Forum: Problem Solving; Topic: Becky sets up a hot dog stand in her busy neighborhood and purchases $x$ pounds of hot dogs for $p$ dollars per; Replies: 0; Views: 47

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A certain $x$-liter solution, contains twice as much water as oil and four times as much oil as vinegar, what is

Data Sufficiency

A certain $x$-liter solution, contains twice as much water as oil and four times as much oil as vinegar, what is

A certain $x$-liter solution, contains twice as much water as oil and four times as much oil as vinegar, what is $x?$

1. The solution contains $5$ liters of oil

2. The solution contains $800/13$ percent water

The OA is A

by BTGmoderatorLU: Thu Jan 02, 2025 11:25 am; Forum: Data Sufficiency; Topic: A certain $x$-liter solution, contains twice as much water as oil and four times as much oil as vinegar, what is; Replies: 0; Views: 40

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The price of an airline ticket to Zua Zua island on a chartered flight with $200$ seats is set at $\$500$ for the

Problem Solving

The price of an airline ticket to Zua Zua island on a chartered flight with $200$ seats is set at $\$500$ for the

The price of an airline ticket to Zua Zua island on a chartered flight with $200$ seats is set at $\$500$ for the first $50$ tickets sold. Once $50$ tickets are sold, the price of each ticket is set at $\$600.$ What is the least number of tickets that must be sold to realize revenue of at ...

by BTGmoderatorLU: Thu Jan 02, 2025 11:21 am; Forum: Problem Solving; Topic: The price of an airline ticket to Zua Zua island on a chartered flight with $200$ seats is set at $\$500$ for the; Replies: 0; Views: 39

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A focus group is currently made up of $x$ men and $y$ women. If $2$ men and $4$ women are added to the group,

Problem Solving

A focus group is currently made up of $x$ men and $y$ women. If $2$ men and $4$ women are added to the group,

A focus group is currently made up of $x$ men and $y$ women. If $2$ men and $4$ women are added to the group, and if one person is selected at random from the larger focus group, then what is the probability that a man is selected? A. $x/(x + 2)$ B. $x/(x + y)$ C. $(x + 2)/(x + y + 2)$...

by BTGmoderatorLU: Sat Dec 28, 2024 2:11 pm; Forum: Problem Solving; Topic: A focus group is currently made up of $x$ men and $y$ women. If $2$ men and $4$ women are added to the group,; Replies: 0; Views: 48

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Company $X$ employs more than $5$ people, and will choose $2$ employees at random to send to a business meeting.

Data Sufficiency

Company $X$ employs more than $5$ people, and will choose $2$ employees at random to send to a business meeting.

Company $X$ employs more than $5$ people, and will choose $2$ employees at random to send to a business meeting. Is the probability that Company $X$ will select $2$ women greater than $0.5?$ 1) More than $70\%$ of the employees of Company $X$ are women 2) Company $X$ employs more t...

by BTGmoderatorLU: Sat Dec 28, 2024 2:04 pm; Forum: Data Sufficiency; Topic: Company $X$ employs more than $5$ people, and will choose $2$ employees at random to send to a business meeting.; Replies: 0; Views: 47

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If the probability that Brendon, Daniel and Kane score more than or equal to $700$ on the GMAT is $0.4, 0.5$ and

Problem Solving

If the probability that Brendon, Daniel and Kane score more than or equal to $700$ on the GMAT is $0.4, 0.5$ and

If the probability that Brendon, Daniel and Kane score more than or equal to $700$ on the GMAT is $0.4, 0.5$ and $0.6$ respectively, what is the probability that at least $2$ of them score less than $700?$

A. $0.12$
B. $0.38$
C. $0.40$
D. $0.50$
E. $0.60$

The OA is D

by BTGmoderatorLU: Sat Dec 28, 2024 1:56 pm; Forum: Problem Solving; Topic: If the probability that Brendon, Daniel and Kane score more than or equal to $700$ on the GMAT is $0.4, 0.5$ and; Replies: 0; Views: 49

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A group of $N$ students will be randomly seated in a row of $N$ chairs. What is the probability that Beth, one of

Data Sufficiency

A group of $N$ students will be randomly seated in a row of $N$ chairs. What is the probability that Beth, one of

A group of $N$ students will be randomly seated in a row of $N$ chairs. What is the probability that Beth, one of the students, will be at the extreme right-hand end of the row? 1. $N$ is an odd prime number 2. The probability that Steve, another one of the students, is at the extreme left-han...

by BTGmoderatorLU: Sat Dec 28, 2024 1:48 pm; Forum: Data Sufficiency; Topic: A group of $N$ students will be randomly seated in a row of $N$ chairs. What is the probability that Beth, one of; Replies: 0; Views: 61

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From a pack of $52$ cards, two cards are drawn together at random. What is the probability of both the cards being

Problem Solving

From a pack of $52$ cards, two cards are drawn together at random. What is the probability of both the cards being

From a pack of $52$ cards, two cards are drawn together at random. What is the probability of both the cards being kings?

A. $1/15$
B. $25/57$
C. $35/256$
D. $1/221$
E. $2/221$

OA D

by BTGmoderatorLU: Sat Dec 28, 2024 1:43 pm; Forum: Problem Solving; Topic: From a pack of $52$ cards, two cards are drawn together at random. What is the probability of both the cards being; Replies: 0; Views: 41

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A delivery of fewer than $100$ boxes arrives at the warehouse. How many boxes were in the delivery?

Data Sufficiency

A delivery of fewer than $100$ boxes arrives at the warehouse. How many boxes were in the delivery?

A delivery of fewer than $100$ boxes arrives at the warehouse. How many boxes were in the delivery?

1. When arranged in stacks of $9,$ there are $4$ boxes left over

2. When arranged in stacks of $7,$ there are $5$ boxes left over

The OA is C

by BTGmoderatorLU: Wed Dec 18, 2024 4:48 pm; Forum: Data Sufficiency; Topic: A delivery of fewer than $100$ boxes arrives at the warehouse. How many boxes were in the delivery?; Replies: 0; Views: 76

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The number $3$ divides $a$ with a result of $b$ and a remainder of $2.$ The number $3$ divides $b$ with a

Problem Solving

The number $3$ divides $a$ with a result of $b$ and a remainder of $2.$ The number $3$ divides $b$ with a

The number $3$ divides $a$ with a result of $b$ and a remainder of $2.$ The number $3$ divides $b$ with a result of $2$ and a remainder of $1.$ What is the value of $a?$

A. $13$
B. $17$
C. $21$
D. $23$
E. $27$

The OA is D

by BTGmoderatorLU: Wed Dec 18, 2024 4:41 pm; Forum: Problem Solving; Topic: The number $3$ divides $a$ with a result of $b$ and a remainder of $2.$ The number $3$ divides $b$ with a; Replies: 0; Views: 80

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