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If $x \neq 5$ and $x$ is a non-zero integer, what is the value of $\dfrac{|x|+5}{5-x}?$

1. $|y+5| < 1-x$

2. $\dfrac{\sqrt{x^2}}{\sqrt[3]{x^3}}=-1$

The OA is D

by BTGmoderatorLU: Thu Sep 21, 2023 11:48 am; Forum: Data Sufficiency; Topic: If $x \neq 5$ and $x$ is a non-zero integer, what is the value of $\dfrac{|x|+5}{5-x}?$; Replies: 0; Views: 6

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Which of the following groups had the highest voting percentage in $1968?$

Which of the following groups had the highest voting percentage in $1968?$

A. $18-24$ years
B. Female
C. South
D. $25-44$ years
E. Male

The OA is E

by BTGmoderatorLU: Thu Sep 21, 2023 11:43 am; Forum: Problem Solving; Topic: Which of the following groups had the highest voting percentage in $1968?$; Replies: 0; Views: 6

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A school district’s food and nutrition director asks a panel of high school students for recommendations for changes in

2018-04-23_1109.png A school district’s food and nutrition director asks a panel of high school students for recommendations for changes in the menu options in the school cafeteria. After implementing student recommendations that were in compliance with state nutrition guidelines, the director surv...

by BTGmoderatorLU: Thu Sep 21, 2023 11:27 am; Forum: Problem Solving; Topic: A school district’s food and nutrition director asks a panel of high school students for recommendations for changes in; Replies: 0; Views: 8

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Peter can drive to work via the expressway or via the backroads, which is a less delay-prone route to work. What is the

Data Sufficiency

Peter can drive to work via the expressway or via the backroads, which is a less delay-prone route to work. What is the

Peter can drive to work via the expressway or via the backroads, which is a less delay-prone route to work. What is the difference in the time Peter would spend driving to work via the expressway versus the backroads? 1) Peter always drives $60$ mph, regardless of which route he takes; it takes Pe...

by BTGmoderatorLU: Sun Sep 17, 2023 6:48 am; Forum: Data Sufficiency; Topic: Peter can drive to work via the expressway or via the backroads, which is a less delay-prone route to work. What is the; Replies: 0; Views: 16

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If $-6$ and $3$ are the solutions to the equation $x^2 + bx + c = 0$, where $b$ and $c$ are constants, what is

Problem Solving

If $-6$ and $3$ are the solutions to the equation $x^2 + bx + c = 0$, where $b$ and $c$ are constants, what is

If $-6$ and $3$ are the solutions to the equation $x^2 + bx + c = 0$, where $b$ and $c$ are constants, what is the value of $b + c?$

A. $-18$
B. $-15$
C. $-3$
D. $3$
E. $8$

The OA is B

by BTGmoderatorLU: Sun Sep 17, 2023 6:44 am; Forum: Problem Solving; Topic: If $-6$ and $3$ are the solutions to the equation $x^2 + bx + c = 0$, where $b$ and $c$ are constants, what is; Replies: 0; Views: 15

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How long did it take Carlos to drive nonstop from his home to Atlanta, Georgia?

Data Sufficiency

How long did it take Carlos to drive nonstop from his home to Atlanta, Georgia?

How long did it take Carlos to drive nonstop from his home to Atlanta, Georgia?

1) Carlos's average speed for the trip was $55$ miles per hour

2) If Carlos's average speed for the trip had been $20$ percent faster, the trip would've taken $3$ hours

The OA is B

by BTGmoderatorLU: Sun Sep 17, 2023 6:35 am; Forum: Data Sufficiency; Topic: How long did it take Carlos to drive nonstop from his home to Atlanta, Georgia?; Replies: 0; Views: 8

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If the average (arithmetic mean) of $a$ and $-5$ is $10$, then $a =$

Problem Solving

If the average (arithmetic mean) of $a$ and $-5$ is $10$, then $a =$

If the average (arithmetic mean) of $a$ and $-5$ is $10$, then $a =$

A. $25$
B. $15$
C. $5$
D. $-10$
E. $-15$

The OA is A

by BTGmoderatorLU: Sun Sep 17, 2023 6:27 am; Forum: Problem Solving; Topic: If the average (arithmetic mean) of $a$ and $-5$ is $10$, then $a =$; Replies: 0; Views: 12

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At a contest with $1,500$ participants, $1/2$ of the people are aged $8$ to $12$. Next year, the number of

Problem Solving

At a contest with $1,500$ participants, $1/2$ of the people are aged $8$ to $12$. Next year, the number of

At a contest with $1,500$ participants, $1/2$ of the people are aged $8$ to $12$. Next year, the number of people aged $8$ to $12$ will increase by $1/3$. After this change, what percentage of the total $1,500$ people will the $8$- to $12$-year-olds represent? A. $33\%$ B. \(40...

by BTGmoderatorLU: Sun Sep 10, 2023 5:58 am; Forum: Problem Solving; Topic: At a contest with $1,500$ participants, $1/2$ of the people are aged $8$ to $12$. Next year, the number of; Replies: 0; Views: 173

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Three machines, $K, M,$ and $P,$ working simultaneously and independntly at their respective constant rates, can

Data Sufficiency

Three machines, $K, M,$ and $P,$ working simultaneously and independntly at their respective constant rates, can

Three machines, $K, M,$ and $P,$ working simultaneously and independently at their respective constant rates, can complete a certain task in $24$ minutes. How long does it take machine $K,$ working alone at its constant rate, to complete the task? 1. Machines $M$ and $P,$ working simulta...

by BTGmoderatorLU: Sun Sep 10, 2023 5:52 am; Forum: Data Sufficiency; Topic: Three machines, $K, M,$ and $P,$ working simultaneously and independntly at their respective constant rates, can; Replies: 0; Views: 163

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In an examination, a minimum of marks is to be scored in each $6$ subjects to pass. How many ways can a student fail?

Problem Solving

In an examination, a minimum of marks is to be scored in each $6$ subjects to pass. How many ways can a student fail?

In an examination, a minimum of marks is to be scored in each $6$ subjects to pass. How many ways can a student fail?

A. $6$
B. $21$
C. $63$
D. $84$
E. $72$

The OA is C

by BTGmoderatorLU: Sun Sep 10, 2023 5:33 am; Forum: Problem Solving; Topic: In an examination, a minimum of marks is to be scored in each $6$ subjects to pass. How many ways can a student fail?; Replies: 0; Views: 166

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An investment grows at a fixed annual rate of $10\%$. If there are no withdrawals during the investment period, and

Data Sufficiency

An investment grows at a fixed annual rate of $10\%$. If there are no withdrawals during the investment period, and

An investment grows at a fixed annual rate of $10\%$. If there are no withdrawals during the investment period, and the interest earned is reinvested in the same investment every year, what is the total amount at the end? 1) At the end, the value of the investment has increased by $21\%$ 2) If a...

by BTGmoderatorLU: Fri Sep 01, 2023 8:45 am; Forum: Data Sufficiency; Topic: An investment grows at a fixed annual rate of $10\%$. If there are no withdrawals during the investment period, and; Replies: 0; Views: 199

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Larry invested $\$20,000$ in an investment that earned an annual interest of $r$ percent when compounded quarterly.

Data Sufficiency

Larry invested $\$20,000$ in an investment that earned an annual interest of $r$ percent when compounded quarterly.

Larry invested $\$20,000$ in an investment that earned an annual interest of $r$ percent when compounded quarterly. On the same day, Mark invested $\$20,000$ in an investment that earned an annual interest of $a$ percent compounded semi-annually. Did Mark earn more interest than Larry at the...

by BTGmoderatorLU: Fri Sep 01, 2023 8:39 am; Forum: Data Sufficiency; Topic: Larry invested $\$20,000$ in an investment that earned an annual interest of $r$ percent when compounded quarterly.; Replies: 0; Views: 195

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What is the sum of all possible $3-$digit numbers that can be constructed using the digits $3, 4$ and $5$ if each

Problem Solving

What is the sum of all possible $3-$digit numbers that can be constructed using the digits $3, 4$ and $5$ if each

What is the sum of all possible $3-$digit numbers that can be constructed using the digits $3, 4$ and $5$ if each digit can be used only once in each number?

A. $2660$
B. $2661$
C. $2662$
D. $2663$
E. $2664$

The OA is E

by BTGmoderatorLU: Fri Sep 01, 2023 8:31 am; Forum: Problem Solving; Topic: What is the sum of all possible $3-$digit numbers that can be constructed using the digits $3, 4$ and $5$ if each; Replies: 0; Views: 185

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By approximately what percent did the sale of nonfiction titles increase from $1984$ to $1987?$

Problem Solving

By approximately what percent did the sale of nonfiction titles increase from $1984$ to $1987?$

By approximately what percent did the sale of nonfiction titles increase from $1984$ to $1987?$

A. $42\%$
B. $50\%$
C. $70\%$
D. $90\%$
E. $110\%$

The OA is A

by BTGmoderatorLU: Fri Sep 01, 2023 8:22 am; Forum: Problem Solving; Topic: By approximately what percent did the sale of nonfiction titles increase from $1984$ to $1987?$; Replies: 0; Views: 208

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In the figure above, car $A$ and car $B$ simultaneously begin travelling around a circular park with area of

Data Sufficiency

In the figure above, car $A$ and car $B$ simultaneously begin travelling around a circular park with area of

DS car question.jpg In the figure above, car $A$ and car $B$ simultaneously begin travelling around a circular park with area of $4\pi$ square miles. Both cars start form the same point, the START location shown in the figure, and travel with constant speed rates until they meet. Car $A$ tr...

by BTGmoderatorLU: Sat Aug 26, 2023 8:36 am; Forum: Data Sufficiency; Topic: In the figure above, car $A$ and car $B$ simultaneously begin travelling around a circular park with area of; Replies: 0; Views: 224

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