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The average age of $P, Q, R$ and $S$ is $30$ years. How old is $R?$

1) The sum of ages of $P$ and $R$ is $60$ years

2) $S$ is $10$ years younger than $R$

OA E

by AAPL: Tue Jul 08, 2025 11:29 am; Forum: Data Sufficiency; Topic: The average age of $P, Q, R$ and $S$ is $30$ years. How old is $R?$; Replies: 0; Views: 10

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If $Q$ is a point to the right of zero on the number line above and the distance between $P$ and $Q$ is $11,$

Problem Solving

If $Q$ is a point to the right of zero on the number line above and the distance between $P$ and $Q$ is $11,$

If $Q$ is a point to the right of zero on the number line above and the distance between $P$ and $Q$ is $11,$ then the coordinate of $Q$ is

A. $-15$
B. $7$
C. $8$
D. $11$
E. $15$

OA B

by AAPL: Tue Jul 08, 2025 11:20 am; Forum: Problem Solving; Topic: If $Q$ is a point to the right of zero on the number line above and the distance between $P$ and $Q$ is $11,$; Replies: 0; Views: 11

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Out of total $36$ students in a class, what percent of students passed the talent hunt exam, if each of the $36$

Data Sufficiency

Out of total $36$ students in a class, what percent of students passed the talent hunt exam, if each of the $36$

Out of total $36$ students in a class, what percent of students passed the talent hunt exam, if each of the $36$ students appeared for the exam?

1) $70\%$ of boys and $12.5\%$ of girls passed the talent hunt exam

2) There are more than $12$ boys in the class

OA A

by AAPL: Tue Jul 08, 2025 11:09 am; Forum: Data Sufficiency; Topic: Out of total $36$ students in a class, what percent of students passed the talent hunt exam, if each of the $36$; Replies: 0; Views: 9

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If the average (arithmetic mean) of three consecutive integers is $2$ more than the average of $18, 27,$ and $30,$

Problem Solving

If the average (arithmetic mean) of three consecutive integers is $2$ more than the average of $18, 27,$ and $30,$

If the average (arithmetic mean) of three consecutive ìntegers is $2$ more than the average of $18, 27,$ and $30,$ what is the greatest of the three consecutive integers?

A. $26$
B. $27$
C. $28$
D. $30$
E. $75$

OA C

by AAPL: Tue Jul 08, 2025 11:01 am; Forum: Problem Solving; Topic: If the average (arithmetic mean) of three consecutive integers is $2$ more than the average of $18, 27,$ and $30,$; Replies: 0; Views: 11

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Integers $x$ and $y$ are both positive, and $x > y.$ How many different committees of $y$ people can be chosen

Data Sufficiency

Integers $x$ and $y$ are both positive, and $x > y.$ How many different committees of $y$ people can be chosen

Integers $x$ and $y$ are both positive, and $x > y.$ How many different committees of $y$ people can be chosen from a group of $x$ people? 1) The number of different committees of $x-y$ people that can be chosen from a group of $x$ people is $3,060$ 2) The number of different ways to...

by AAPL: Mon Jun 30, 2025 8:48 am; Forum: Data Sufficiency; Topic: Integers $x$ and $y$ are both positive, and $x > y.$ How many different committees of $y$ people can be chosen; Replies: 0; Views: 55

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A composer’s guild is planning its spring concert, and ten pieces have been submitted for consideration. The director of

Problem Solving

A composer’s guild is planning its spring concert, and ten pieces have been submitted for consideration. The director of

A composer’s guild is planning its spring concert, and ten pieces have been submitted for consideration. The director of the guild knows that they will only have time to present four of them. If the pieces can be played in any order, how many combinations of pieces are possible? A. $40$ B. $210$...

by AAPL: Mon Jun 30, 2025 8:33 am; Forum: Problem Solving; Topic: A composer’s guild is planning its spring concert, and ten pieces have been submitted for consideration. The director of; Replies: 0; Views: 47

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From a group of $6$ employees, $k$ employees are chosen to be on the party-planning committee. If $k$ is a

Data Sufficiency

From a group of $6$ employees, $k$ employees are chosen to be on the party-planning committee. If $k$ is a

From a group of $6$ employees, $k$ employees are chosen to be on the party-planning committee. If $k$ is a positive integer, what is the value of $k?$

1) $k$ is a prime number

2) There are $15$ different ways to create the party-planning committee consisting of k employees

OA C

by AAPL: Mon Jun 30, 2025 8:23 am; Forum: Data Sufficiency; Topic: From a group of $6$ employees, $k$ employees are chosen to be on the party-planning committee. If $k$ is a; Replies: 0; Views: 42

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How many positive integers consisting of five different digits can be made from digits $1, 2, 3, 4, 5, 6, 7, 8,$ and

Problem Solving

How many positive integers consisting of five different digits can be made from digits $1, 2, 3, 4, 5, 6, 7, 8,$ and

How many positive integers consisting of five different digits can be made from digits $1, 2, 3, 4, 5, 6, 7, 8,$ and $9$ if the numbers must be odd?

A. $2520$
B. $5040$
C. $8400$
D. $13440$
E. $15120$

OA C

by AAPL: Mon Jun 30, 2025 8:16 am; Forum: Problem Solving; Topic: How many positive integers consisting of five different digits can be made from digits $1, 2, 3, 4, 5, 6, 7, 8,$ and; Replies: 0; Views: 44

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There are $x$ children and $y$ chairs arranged in a circle in a room where $x$ and $y$ are prime numbers. In how

Data Sufficiency

There are $x$ children and $y$ chairs arranged in a circle in a room where $x$ and $y$ are prime numbers. In how

There are $x$ children and $y$ chairs arranged in a circle in a room where $x$ and $y$ are prime numbers. In how many ways can the $x$ children be seated in the $y$ chairs (assuming that each chair can seat exactly one child)?

1. $x+y=12$
2. There are more chairs than children

OA C

by AAPL: Mon Jun 30, 2025 8:09 am; Forum: Data Sufficiency; Topic: There are $x$ children and $y$ chairs arranged in a circle in a room where $x$ and $y$ are prime numbers. In how; Replies: 0; Views: 46

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In how many ways can you make a five letter password using the first ten letters of the English alphabet if each letter

Problem Solving

In how many ways can you make a five letter password using the first ten letters of the English alphabet if each letter

In how many ways can you make a five letter password using the first ten letters of English alphabet if each letter can be used at most once? (You can use only capital letters.)

A. $5!$
B. $10*9*8*7*6$
C. $10!-5!$
D. $10^5$
E. $10!$

OA B

by AAPL: Mon Jun 30, 2025 8:01 am; Forum: Problem Solving; Topic: In how many ways can you make a five letter password using the first ten letters of the English alphabet if each letter; Replies: 0; Views: 33

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If from $1991$ to $2000,$ the number of students of School $X$ tripled, how many number of students of the school

Data Sufficiency

If from $1991$ to $2000,$ the number of students of School $X$ tripled, how many number of students of the school

If from $1991$ to $2000,$ the number of students of School $X$ tripled, how many number of students of the school were there in $1991?$ 1) From $2000$ to $2009,$ the number of students of the school doubled 2) From $2000$ to $2009,$ the number of students of the school increased by \...

by AAPL: Tue Jun 24, 2025 3:09 pm; Forum: Data Sufficiency; Topic: If from $1991$ to $2000,$ the number of students of School $X$ tripled, how many number of students of the school; Replies: 0; Views: 88

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Three friends ate $14$ slices of pizza. If two of the friends ate the same number of slices, and the third ate two

Problem Solving

Three friends ate $14$ slices of pizza. If two of the friends ate the same number of slices, and the third ate two

Three friends ate $14$ slices of pizza. If two of the friends ate the same number of slices, and the third ate two more slices than each of the other two, how many slices were eaten by the third friend?

A. $3$
B. $4$
C. $5$
D. $6$
E. $7$

OA D

by AAPL: Tue Jun 24, 2025 2:48 pm; Forum: Problem Solving; Topic: Three friends ate $14$ slices of pizza. If two of the friends ate the same number of slices, and the third ate two; Replies: 0; Views: 88

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An airline company pays $\$10,000$ less for each additional airplane ordered. What would be the total price for $5$

Data Sufficiency

An airline company pays $\$10,000$ less for each additional airplane ordered. What would be the total price for $5$

An airline company pays $\$10,000$ less for each additional airplane ordered. What would be the total price for $5$ airplanes?

1) The first $2$ airplanes cost $50\%$ of the total price

2) The last airplane costs half as much as the first

OA D

by AAPL: Tue Jun 24, 2025 2:31 pm; Forum: Data Sufficiency; Topic: An airline company pays $\$10,000$ less for each additional airplane ordered. What would be the total price for $5$; Replies: 0; Views: 85

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In a certain ancient kingdom, the standard unit of measure was the "crown," equal to $10$ standard modern inches. An

Problem Solving

In a certain ancient kingdom, the standard unit of measure was the "crown," equal to $10$ standard modern inches. An

In a certain ancient kingdom, the standard unit of measure was the "crown," equal to $10$ standard modern inches. An alternative unit of measure the "scepter," equal to $14$ standard modern inches. If a tower measured $70$ corwns tall, how many scepters tall was it? A. \(35...

by AAPL: Tue Jun 24, 2025 2:24 pm; Forum: Problem Solving; Topic: In a certain ancient kingdom, the standard unit of measure was the "crown," equal to $10$ standard modern inches. An; Replies: 0; Views: 79

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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: 134

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