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$A: x^2 + 6x - 40 = 0$
$B: x^2 + kx + j = 0$

Which is larger, the sum of the roots of equation $A$ or the sum of the roots of equation $B?$

1) $j = k$

2) $k$ is negative

OA B

by AAPL: Tue Mar 11, 2025 5:56 pm; Forum: Data Sufficiency; Topic: Which is larger, the sum of the roots of equation $A$ or the sum of the roots of equation $B?$; Replies: 0; Views: 8

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A monument is made by stacking identical rectangular blocks of marble, each measuring $2$ feet by $3$ feet by $1$

Data Sufficiency

A monument is made by stacking identical rectangular blocks of marble, each measuring $2$ feet by $3$ feet by $1$

A monument is made by stacking identical rectangular blocks of marble, each measuring $2$ feet by $3$ feet by $1$ foot, into a large rectangular solid. If all the blocks are aligned in the same direction, how many blocks high is the monument? 1) The length of the monument is $12$ feet and th...

by AAPL: Tue Mar 11, 2025 5:35 pm; Forum: Data Sufficiency; Topic: A monument is made by stacking identical rectangular blocks of marble, each measuring $2$ feet by $3$ feet by $1$; Replies: 0; Views: 8

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If $P$ is the perimeter of an equilateral triangle, which of the following represents the height of the triangle?

Problem Solving

If $P$ is the perimeter of an equilateral triangle, which of the following represents the height of the triangle?

If $P$ is the perimeter of an equilateral triangle, which of the following represents the height of the triangle?

A. $\dfrac{P}{3}$

B. $(P\sqrt{3})/3$

C. $\dfrac{P}{4}$

D. $(P\sqrt{3})/6$

E. $\dfrac{P}{6}$

OA D

by AAPL: Tue Mar 11, 2025 5:20 pm; Forum: Problem Solving; Topic: If $P$ is the perimeter of an equilateral triangle, which of the following represents the height of the triangle?; Replies: 0; Views: 6

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In how many ways can $4$ students out of $n$ students be selected to represent the school in a competition?

Data Sufficiency

In how many ways can $4$ students out of $n$ students be selected to represent the school in a competition?

In how many ways can $4$ students out of $n$ students be selected to represent the school in a competition? 1) If there were $3$ more students, number of ways of selecting $4$ students would be $840$ 2) If there were $3$ less students, number of ways of selecting $4$ students would be ...

by AAPL: Tue Mar 04, 2025 5:19 pm; Forum: Data Sufficiency; Topic: In how many ways can $4$ students out of $n$ students be selected to represent the school in a competition?; Replies: 0; Views: 116

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Bowls $X$ and $Y$ each contained exactly $2$ jelly beans, each of which was either red or black. One of the jelly

Data Sufficiency

Bowls $X$ and $Y$ each contained exactly $2$ jelly beans, each of which was either red or black. One of the jelly

Bowls $X$ and $Y$ each contained exactly $2$ jelly beans, each of which was either red or black. One of the jelly beans in bowl $X$ was exchanged with one of the jelly beans in bowl $Y.$ After the exchange, were both of the jelly beans in bowl $X$ black? 1) Before the exchange, bowl \(X\...

by AAPL: Tue Mar 04, 2025 5:07 pm; Forum: Data Sufficiency; Topic: Bowls $X$ and $Y$ each contained exactly $2$ jelly beans, each of which was either red or black. One of the jelly; Replies: 0; Views: 39

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Let $n$ be the number of different $5$ digit numbers, divisible by $4$ with the digits $1, 2, 3, 4, 5$ and

Problem Solving

Let $n$ be the number of different $5$ digit numbers, divisible by $4$ with the digits $1, 2, 3, 4, 5$ and

Let $n$ be the number of different $5$ digit numbers, divisible by $4$ with the digits $1, 2, 3, 4, 5$ and $6,$ no digit being repeated in the numbers. What is the value of $n?$

A. $144$
B. $168$
C. $192$
D. $196$
E. $198$

OA C

by AAPL: Tue Mar 04, 2025 4:59 pm; Forum: Problem Solving; Topic: Let $n$ be the number of different $5$ digit numbers, divisible by $4$ with the digits $1, 2, 3, 4, 5$ and; Replies: 0; Views: 34

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Simon has $P$ different toys in a bag. If he discards $Q$ toys, then in how many ways he can select $8$ toys from

Data Sufficiency

Simon has $P$ different toys in a bag. If he discards $Q$ toys, then in how many ways he can select $8$ toys from

Simon has $P$ different toys in a bag. If he discards $Q$ toys, then in how many ways he can select $8$ toys from the remaining toys in the bag?

1) If Simon had discarded $3$ more toys from the bag, he could have made $495$ selections

2) $P = Q + 15$

OA D

by AAPL: Tue Mar 04, 2025 4:51 pm; Forum: Data Sufficiency; Topic: Simon has $P$ different toys in a bag. If he discards $Q$ toys, then in how many ways he can select $8$ toys from; Replies: 0; Views: 46

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From a total of $5$ boys and $4$ girls, how many $4$-person committees can be selected if the committee must have

Problem Solving

From a total of $5$ boys and $4$ girls, how many $4$-person committees can be selected if the committee must have

From a total of $5$ boys and $4$ girls, how many $4$-person committees can be selected if the committee must have exactly $2$ boys and $2$ girls?

A. $16$
B. $24$
C. $60$
D. $120$
E. $240$

OA C

by AAPL: Tue Mar 04, 2025 4:45 pm; Forum: Problem Solving; Topic: From a total of $5$ boys and $4$ girls, how many $4$-person committees can be selected if the committee must have; Replies: 0; Views: 32

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Judith and Quincy started with the same amount of money to invest at the beginning of \(2012. Judith's investments

Data Sufficiency

Judith and Quincy started with the same amount of money to invest at the beginning of \(2012. Judith's investments

Judith and Quincy started with the same amount of money to invest at the beginning of $2012. Judith's investments increased by \(P$ percent in the year $2012$ and then increased by $Q$ percent in the year $2013$. From the start of $2012$ to the end of $2013,$ Quincy's investment increase...

by AAPL: Sat Mar 01, 2025 7:42 am; Forum: Data Sufficiency; Topic: Judith and Quincy started with the same amount of money to invest at the beginning of \(2012. Judith's investments; Replies: 0; Views: 144

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At a certain rate of simple interest, a principal becomes three times in $15$ years. In how many years will the

Problem Solving

At a certain rate of simple interest, a principal becomes three times in $15$ years. In how many years will the

At a certain rate of simple interest, a principal becomes three times in $15$ years. In how many years will the principal amount become nine times?

A. $45$ years
B. $30$ years
C. $60$ years
D. $75$ years
E. None of these

OA C

by AAPL: Sat Mar 01, 2025 7:26 am; Forum: Problem Solving; Topic: At a certain rate of simple interest, a principal becomes three times in $15$ years. In how many years will the; Replies: 0; Views: 105

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At a certain company, $40\%$ of the women are over $50$ years old and $50\%$ of the men are over $50$ years old

Data Sufficiency

At a certain company, $40\%$ of the women are over $50$ years old and $50\%$ of the men are over $50$ years old

At a certain company, $40\%$ of the women are over $50$ years old and $50\%$ of the men are over $50$ years old. What percentage of the company are men?

1) $42\%$ of all employees are over $50$ years old

2) There are $500$ employees at the company

OA A

by AAPL: Sat Mar 01, 2025 7:11 am; Forum: Data Sufficiency; Topic: At a certain company, $40\%$ of the women are over $50$ years old and $50\%$ of the men are over $50$ years old; Replies: 0; Views: 50

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What amount, in dollars, invested for one year at a simple annual interest of $2$ percent would earn the same amount

Problem Solving

What amount, in dollars, invested for one year at a simple annual interest of $2$ percent would earn the same amount

What amount, in dollars, invested for one year at a simple annual interest of $2$ percent would earn the same amount of interest as $\$10,000$ invested for one year at an annual interest rate of $4$ percent compounded semiannually? A. $\$20,000$ B. $\$20,050$ C. $\$20,100$ D. \(\$20,150\...

by AAPL: Sat Mar 01, 2025 6:48 am; Forum: Problem Solving; Topic: What amount, in dollars, invested for one year at a simple annual interest of $2$ percent would earn the same amount; Replies: 0; Views: 88

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What percent of Gigacorp’s $80$ female employees are college graduates?

Data Sufficiency

What percent of Gigacorp’s $80$ female employees are college graduates?

What percent of Gigacorp’s $80$ female employees are college graduates?

1. Gigacorp has $20$ male employees

2. $30$ percent of Gigacorp’s employees are college graduates

OA E

by AAPL: Thu Feb 20, 2025 7:39 am; Forum: Data Sufficiency; Topic: What percent of Gigacorp’s $80$ female employees are college graduates?; Replies: 0; Views: 493

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Alice earns $d$ dollars and has $t$ percent of what she earns deducted for taxes. How much of what she earns does

Problem Solving

Alice earns $d$ dollars and has $t$ percent of what she earns deducted for taxes. How much of what she earns does

Alice earns $d$ dollars and has $t$ percent of what she earns deducted for taxes. How much of what she earns does Alice have left after taxes?

A. $d(1−100t)$ dollars
B. $d(1−10t)$ dollars
C. $d(1−t)$ dollars
D. $d(1−0.1t)$ dollars
E. $d(1−0.01t)$ dollars

OA E

by AAPL: Thu Feb 20, 2025 7:25 am; Forum: Problem Solving; Topic: Alice earns $d$ dollars and has $t$ percent of what she earns deducted for taxes. How much of what she earns does; Replies: 0; Views: 269

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by AAPL: Fri Feb 14, 2025 1:48 pm; Forum: Data Sufficiency; Topic: How many different subcommittees can be formed among the six members of the housing committee?; Replies: 0; Views: 404

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