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The cost of painting a wall increases by a fixed percentage each year. In $1970,$ the cost was $\$2,000;$ and in

Problem Solving

The cost of painting a wall increases by a fixed percentage each year. In $1970,$ the cost was $\$2,000;$ and in

The cost of painting a wall increases by a fixed percentage each year. In $1970,$ the cost was $\$2,000;$ and in $1979,$ it was $\$3,600.$ What was the cost of painting in $1988?$

A. $\$1,111$
B. $\$2,111$
C. $\$3,600$
D. $\$6,240$
E. $\$6,480$

OA E

by AAPL: Fri Dec 27, 2024 4:09 am; Forum: Problem Solving; Topic: The cost of painting a wall increases by a fixed percentage each year. In $1970,$ the cost was $\$2,000;$ and in; Replies: 0; Views: 90

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A man, while driving on a highway at uniform speed, observes his car's odometer reading just turned to $18992$ miles.

Data Sufficiency

A man, while driving on a highway at uniform speed, observes his car's odometer reading just turned to $18992$ miles.

A man, while driving on a highway at uniform speed, observes his car's odometer reading just turned to $18992$ miles. What is the speed at which the man was driving? 1. After $5$ hours, the odometer reading of the car showed a five-digit palindrome as the total distance travelled ($A$ palindro...

by AAPL: Tue Dec 17, 2024 4:08 am; Forum: Data Sufficiency; Topic: A man, while driving on a highway at uniform speed, observes his car's odometer reading just turned to $18992$ miles.; Replies: 0; Views: 98

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At its usual speed of $40 \,\text{km/h,}$ the bus covers its journey on schedule. But when its speed reduces to

Problem Solving

At its usual speed of $40 \,\text{km/h,}$ the bus covers its journey on schedule. But when its speed reduces to

At its usual speed of $40 \,\text{km/h,}$ the bus covers its journey on schedule. But when its speed reduces to $35\,\text{km/h,}$ it takes $15$ more minutes than scheduled time. Find the distance of the journey. A. $50 \,\text{km$ B. $60 \,\text{km$ C. $70 \,\text{km$ D. \(75 \,\text{km...

by AAPL: Tue Dec 17, 2024 3:56 am; Forum: Problem Solving; Topic: At its usual speed of $40 \,\text{km/h,}$ the bus covers its journey on schedule. But when its speed reduces to; Replies: 0; Views: 136

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Police suspected that motorists on a stretch of $I-75$ often exceeded the speed limit yet avoided being caught through

Data Sufficiency

Police suspected that motorists on a stretch of $I-75$ often exceeded the speed limit yet avoided being caught through

Police suspected that motorists on a stretch of $I-75$ often exceeded the speed limit yet avoided being caught through the use of radar detectors and jammers. Officer Johnson of the State Police recently pulled over a driver on $I-75$ and accused him of breaking the $50$ mile-per-hour speed li...

by AAPL: Tue Dec 17, 2024 3:49 am; Forum: Data Sufficiency; Topic: Police suspected that motorists on a stretch of $I-75$ often exceeded the speed limit yet avoided being caught through; Replies: 0; Views: 105

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Two men $A$ and $B$ start from a place $P$ walking $4\, \text{km/h}$ and $6\,\text{km/h}$ respectively.

Problem Solving

Two men $A$ and $B$ start from a place $P$ walking $4\, \text{km/h}$ and $6\,\text{km/h}$ respectively.

Two men $A$ and $B$ start from a place $P$ walking $4\, \text{km/h}$ and $6\,\text{km/h}$ respectively. How many km will they be apart at the end of $4\,\text{h,}$ if they walk in the same direction? A. $2 \,\text{km}$ B. $3 \,\text{km}$ C. $4 \,\text{km}$ D. $5 \,\text{km}$ E. \...

by AAPL: Tue Dec 17, 2024 3:44 am; Forum: Problem Solving; Topic: Two men $A$ and $B$ start from a place $P$ walking $4\, \text{km/h}$ and $6\,\text{km/h}$ respectively.; Replies: 0; Views: 104

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Number of chocolates with Daniel is $X$ and the number of chocolates with Maria is $Y.$ If $X$ and $Y$ are

Data Sufficiency

Number of chocolates with Daniel is $X$ and the number of chocolates with Maria is $Y.$ If $X$ and $Y$ are

Number of chocolates with Daniel is $X$ and the number of chocolates with Maria is $Y.$ If $X$ and $Y$ are distinct, what is the number of chocolates with the one having lesser chocolates, out of Daniel and Maria? 1) Sum of $X$ and $Y$ is greater than the positive difference between \(X\...

by AAPL: Tue Dec 10, 2024 4:16 pm; Forum: Data Sufficiency; Topic: Number of chocolates with Daniel is $X$ and the number of chocolates with Maria is $Y.$ If $X$ and $Y$ are; Replies: 0; Views: 102

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A group of marbles is arranged into $x$ rows and $y$ columns. If the number of columns is $7$ times the number of

Problem Solving

A group of marbles is arranged into $x$ rows and $y$ columns. If the number of columns is $7$ times the number of

A group of marbles is arranged into $x$ rows and $y$ columns. If the number of columns is $7$ times the number of rows, and there are $343$ total marbles, how many rows are there?

A. $7$
B. $14$
C. $49$
D. $62$
E. $74$

OA A

by AAPL: Tue Dec 10, 2024 4:07 pm; Forum: Problem Solving; Topic: A group of marbles is arranged into $x$ rows and $y$ columns. If the number of columns is $7$ times the number of; Replies: 0; Views: 122

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If $x$ and $y$ are integers and $\dfrac{x}{y}$ is also an integer, is $x$ an even number?

Data Sufficiency

If $x$ and $y$ are integers and $\dfrac{x}{y}$ is also an integer, is $x$ an even number?

If $x$ and $y$ are integers and $\dfrac{x}{y}$ is also an integer, is $x$ an even number?

1. $\dfrac{x}{y}$ is odd

2. $\dfrac{y}{2}$ is odd

OA B

by AAPL: Tue Dec 10, 2024 3:58 pm; Forum: Data Sufficiency; Topic: If $x$ and $y$ are integers and $\dfrac{x}{y}$ is also an integer, is $x$ an even number?; Replies: 0; Views: 109

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If $2$ roots of the equation $x^2+px+q=0$ are $-3$ and $2,$ what is the value of $p + q?$

Problem Solving

If $2$ roots of the equation $x^2+px+q=0$ are $-3$ and $2,$ what is the value of $p + q?$

If $2$ roots of the equation $x^2+px+q=0$ are $-3$ and $2,$ what is the value of $p + q?$

A. $-5$
B. $-3$
C. $-1$
D. $0$
E. $1$

OA A

by AAPL: Tue Dec 10, 2024 3:41 pm; Forum: Problem Solving; Topic: If $2$ roots of the equation $x^2+px+q=0$ are $-3$ and $2,$ what is the value of $p + q?$; Replies: 0; Views: 132

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For any $3$ given numbers, which of the following is always equivalent to adding the $3$ numbers together and then

Problem Solving

For any $3$ given numbers, which of the following is always equivalent to adding the $3$ numbers together and then

For any $3$ given numbers, which of the following is always equivalent to adding the $3$ numbers together and then dividing the sum by $3?$ I. Ordering the $3$ numbers numerically, from highest to lowest, and then selecting the middle number II. Dividing each of the numbers by $3$ and then...

by AAPL: Wed Dec 04, 2024 6:00 pm; Forum: Problem Solving; Topic: For any $3$ given numbers, which of the following is always equivalent to adding the $3$ numbers together and then; Replies: 0; Views: 137

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In the correctly worked multiplication problem shown above, $A, B, C, D$ and $E$ are different non-zero digits. What

Data Sufficiency

In the correctly worked multiplication problem shown above, $A, B, C, D$ and $E$ are different non-zero digits. What

$\begin{array}{c}
AB \\
*C \\ \hline
DE
\end{array}$

In the correctly worked multiplication problem shown above, $A, B, C, D$ and $E$ are different non-zero digits. What is the valued of $D?$

1) $A = 3$

2) $D$ is an even digit

OA C

by AAPL: Wed Dec 04, 2024 5:48 pm; Forum: Data Sufficiency; Topic: In the correctly worked multiplication problem shown above, $A, B, C, D$ and $E$ are different non-zero digits. What; Replies: 0; Views: 119

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A tank has a capacity of $200$ pints. How many gallons of water would it take to fill the tank to $\dfrac{3}{10}$

Problem Solving

A tank has a capacity of $200$ pints. How many gallons of water would it take to fill the tank to $\dfrac{3}{10}$

A tank has a capacity of $200$ pints. How many gallons of water would it take to fill the tank to $\frac{3}{10}$ of its capacity? ($1$ gallon $= 8$ pints)

A. $7$ gallons
B. $7.5$ gallons
C. $8$ gallons
D. $8.5$ gallons
E. $9$ gallons

OA B

by AAPL: Wed Dec 04, 2024 5:40 pm; Forum: Problem Solving; Topic: A tank has a capacity of $200$ pints. How many gallons of water would it take to fill the tank to $\dfrac{3}{10}$; Replies: 0; Views: 144

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If $N$ is a positive integer, what is the remainder when $N$ is divided by $3?$

Data Sufficiency

If $N$ is a positive integer, what is the remainder when $N$ is divided by $3?$

If $N$ is a positive integer, what is the remainder when $N$ is divided by $3?$

1) $N + 3$ is divisible by $5$
2) $N$ is divisible by $4$

OA E

by AAPL: Wed Nov 27, 2024 6:17 pm; Forum: Data Sufficiency; Topic: If $N$ is a positive integer, what is the remainder when $N$ is divided by $3?$; Replies: 0; Views: 198

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What is the largest value of $x$ for which $12^x$ leaves zero remainder when it divides $\dfrac{50!}{10!}?$

Problem Solving

What is the largest value of $x$ for which $12^x$ leaves zero remainder when it divides $\dfrac{50!}{10!}?$

What is the largest value of $x$ for which $12^x$ leaves zero remainder when it divides $\dfrac{50!}{10!}?$

A. $9$
B. $18$
C. $19$
D. $22$
E. $39$

OA B

by AAPL: Wed Nov 27, 2024 6:07 pm; Forum: Problem Solving; Topic: What is the largest value of $x$ for which $12^x$ leaves zero remainder when it divides $\dfrac{50!}{10!}?$; Replies: 0; Views: 160

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A certain packing box contains books between $50$ to $60.$ How many books exactly does that box contain?

Data Sufficiency

A certain packing box contains books between $50$ to $60.$ How many books exactly does that box contain?

A certain packing box contains books between $50$ to $60.$ How many books exactly does that box contain?

1) If the books are counted by three, there will be one book left over

2) If the books are counted by six, there will be one book left over

OA B

by AAPL: Wed Nov 27, 2024 5:55 pm; Forum: Data Sufficiency; Topic: A certain packing box contains books between $50$ to $60.$ How many books exactly does that box contain?; Replies: 0; Views: 141

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