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What is the ratio of houses with smoke alarms to houses without smoke alarms on Gleaner Street?

1) On Gleaner Street, $7/18$ of the houses do not have smoke alarms

2) There are $90$ houses on Gleaner Street

OA A

by AAPL: Wed Jun 18, 2025 12:50 pm; Forum: Data Sufficiency; Topic: What is the ratio of houses with smoke alarms to houses without smoke alarms on Gleaner Street?; Replies: 0; Views: 2

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The circumference of a circle is $12.$ Which of the following is closest to the area of the circle?

Problem Solving

The circumference of a circle is $12.$ Which of the following is closest to the area of the circle?

The circumference of a circle is $12.$ Which of the following is closest to the area of the circle?

A. $6$
B. $12$
C. $18$
D. $24$
E. $36$

OA B

by AAPL: Wed Jun 18, 2025 12:41 pm; Forum: Problem Solving; Topic: The circumference of a circle is $12.$ Which of the following is closest to the area of the circle?; Replies: 0; Views: 1

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If the units’ digit of a three-digit positive number $N$ is between $1$ to $9,$ inclusive, what is the tens’

Data Sufficiency

If the units’ digit of a three-digit positive number $N$ is between $1$ to $9,$ inclusive, what is the tens’

If the units’ digit of a three-digit positive number $N$ is between $1$ to $9,$ inclusive, what is the tens’ digit of the number?

1) The tens’ digit of $(N + 9)$ is $4$

2) The tens’ digit of $(N + 4)$ is $3$

OA A

by AAPL: Wed Jun 18, 2025 12:30 pm; Forum: Data Sufficiency; Topic: If the units’ digit of a three-digit positive number $N$ is between $1$ to $9,$ inclusive, what is the tens’; Replies: 0; Views: 1

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Charlene's annual bonus is calculated in the following manner: Charlene receives $20$ percent of her first

Problem Solving

Charlene's annual bonus is calculated in the following manner: Charlene receives $20$ percent of her first

Charlene's annual bonus is calculated in the following manner: Charlene receives $20$ percent of her first $\$11,000$ in sales and $30$ percent of her sales in excess pf $\$11,000.$ If Charlene received a bonus of $\$7,300,$ what were her annual sales? A. $\$20,000$ B. $\$22,000$ C. \(...

by AAPL: Wed Jun 18, 2025 12:13 pm; Forum: Problem Solving; Topic: Charlene's annual bonus is calculated in the following manner: Charlene receives $20$ percent of her first; Replies: 0; Views: 2

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In the $XY$-plane, the line with equation $ax + by + c = 0,$ where $abc \neq 0,$ has slope $-3.$ What is the

Data Sufficiency

In the $XY$-plane, the line with equation $ax + by + c = 0,$ where $abc \neq 0,$ has slope $-3.$ What is the

In the $XY$-plane, the line with equation $ax + by + c = 0,$ where $abc \neq 0,$ has slope $-3.$ What is the value of $b?$

1) $a = 2$

2) $c = 5/2$

OA A

by AAPL: Wed Jun 11, 2025 7:14 am; Forum: Data Sufficiency; Topic: In the $XY$-plane, the line with equation $ax + by + c = 0,$ where $abc \neq 0,$ has slope $-3.$ What is the; Replies: 0; Views: 16

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In the rectangular coordinate system above, the area of triangular region $PQR$ is

Problem Solving

In the rectangular coordinate system above, the area of triangular region $PQR$ is

In the rectangular coordinate system above, the area of triangular region $PQR$ is

A. $\dfrac{ac}{2}$

B. $\dfrac{(c-a)(b-d)}{2}$

C. $\dfrac{(c+a)(b+d)}{2}$

D. $\dfrac{c(b-d)}{2}$

E. $\dfrac{c(b+d)}{2}$

OA B

by AAPL: Wed Jun 11, 2025 7:06 am; Forum: Problem Solving; Topic: In the rectangular coordinate system above, the area of triangular region $PQR$ is; Replies: 0; Views: 17

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If points $A, B, C$ lie in the $xy$ plane, is the area of triangle $ABC$ greater than $6$ square units?

Data Sufficiency

If points $A, B, C$ lie in the $xy$ plane, is the area of triangle $ABC$ greater than $6$ square units?

If points $A, B, C$ lie in the $xy$ plane, is the area of triangle $ABC$ greater than $6$ square units?

1) Equation of line $AB$ is $y=4$ and equation of line $BC$ is $x=3$

2) All three points $A, B, C$ lie in first quadrant only

OA E

by AAPL: Wed Jun 11, 2025 6:59 am; Forum: Data Sufficiency; Topic: If points $A, B, C$ lie in the $xy$ plane, is the area of triangle $ABC$ greater than $6$ square units?; Replies: 0; Views: 11

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In the standard $(x, y)$ coordinate plane, which of the following is the center of the ellipse

Problem Solving

In the standard $(x, y)$ coordinate plane, which of the following is the center of the ellipse

In the standard $(x, y)$ coordinate plane, which of the following is the center of the ellipse $2(x+3)^2+3(y-4)^2=15?$

A. $(-3,4)$
B. $(-2,-3)$
C. $(3,-4)$
D. $(4,3)$
E. $(6,–12)$

OA A

by AAPL: Wed Jun 11, 2025 6:48 am; Forum: Problem Solving; Topic: In the standard $(x, y)$ coordinate plane, which of the following is the center of the ellipse; Replies: 0; Views: 12

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What is the one-thousandth term in sequence $S?$

Data Sufficiency

What is the one-thousandth term in sequence $S?$

What is the one-thousandth term in sequence $S?$

1. The fifth term in $S$ is $47$

2. Each term in $S$ following the first term is generated by multiplying the preceding term by $4$ and adding $1$

OA C

by AAPL: Wed Jun 04, 2025 6:50 pm; Forum: Data Sufficiency; Topic: What is the one-thousandth term in sequence $S?$; Replies: 0; Views: 152

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If the product of $3$ consecutive integers is $210,$ then the sum of the two smaller integers is?

Problem Solving

If the product of $3$ consecutive integers is $210,$ then the sum of the two smaller integers is?

If the product of $3$ consecutive integers is $210,$ then the sum of the two smaller integers is?

A. $5$
B. $11$
C. $12$
D. $13$
E. $18$

OA B

by AAPL: Wed Jun 04, 2025 6:41 pm; Forum: Problem Solving; Topic: If the product of $3$ consecutive integers is $210,$ then the sum of the two smaller integers is?; Replies: 0; Views: 102

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Given an arithmetic sequence of $N$ terms in which the common difference between terms is $2,$ what is the value of

Data Sufficiency

Given an arithmetic sequence of $N$ terms in which the common difference between terms is $2,$ what is the value of

Given an arithmetic sequence of $N$ terms in which the common difference between terms is $2,$ what is the value of $N?$

1. The first term is $18$

2. The last term is $70$

OA C

by AAPL: Wed Jun 04, 2025 6:28 pm; Forum: Data Sufficiency; Topic: Given an arithmetic sequence of $N$ terms in which the common difference between terms is $2,$ what is the value of; Replies: 0; Views: 99

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If $x$ and $y$ are perfect squares, then which one of the following is not necessarily a perfect square?

Problem Solving

If $x$ and $y$ are perfect squares, then which one of the following is not necessarily a perfect square?

If $x$ and $y$ are perfect squares, then which one of the following is not necessarily a perfect square?

A. $x^2$
B. $xy$
C. $4x$
D. $x+y$
E. $x^5$

OA D

by AAPL: Wed Jun 04, 2025 6:21 pm; Forum: Problem Solving; Topic: If $x$ and $y$ are perfect squares, then which one of the following is not necessarily a perfect square?; Replies: 0; Views: 129

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In $1984$ a certain union had a total of $15,600$ members. Was the percent increase in the total number of members

Data Sufficiency

In $1984$ a certain union had a total of $15,600$ members. Was the percent increase in the total number of members

In $1984$ a certain union had a total of $15,600$ members. Was the percent increase in the total number of members in the union from $1984$ to $1985$ greater than that from $1985$ to $1986?$ 1. From $1984$ to $1985$ the total number of members in the union increased by $781,$ and f...

by AAPL: Wed May 28, 2025 5:42 pm; Forum: Data Sufficiency; Topic: In $1984$ a certain union had a total of $15,600$ members. Was the percent increase in the total number of members; Replies: 0; Views: 138

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There are $5,280$ feet in $1$ mile and $12$ inches in one foot. How many inches are in a mile?

Problem Solving

There are $5,280$ feet in $1$ mile and $12$ inches in one foot. How many inches are in a mile?

There are $5,280$ feet in $1$ mile and $12$ inches in one foot. How many inches are in a mile?

A. $5,280 - 12$
B. $5,280/12$
C. $12(5,280)$
D. $12^{2(5,280)}$
E. $12/5,280$

OA C

by AAPL: Wed May 28, 2025 5:29 pm; Forum: Problem Solving; Topic: There are $5,280$ feet in $1$ mile and $12$ inches in one foot. How many inches are in a mile?; Replies: 0; Views: 133

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Each number in the arrangement above is obtained from the two nearest numbers in the column immediately to the left by

Data Sufficiency

Each number in the arrangement above is obtained from the two nearest numbers in the column immediately to the left by

Each number in the arrangement above is obtained from the two nearest numbers in the column immediately to the left by subtracting the upper number from the lower number. What is the value of $z?$

1. $x = 7$
2. $t = 5$

OA D

by AAPL: Wed May 28, 2025 5:22 pm; Forum: Data Sufficiency; Topic: Each number in the arrangement above is obtained from the two nearest numbers in the column immediately to the left by; Replies: 0; Views: 122

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