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Jane goes the trip of $40$ miles, the first $20$ miles at $60$ miles per hour and the rest $20$ miles at $30$

Problem Solving

Jane goes the trip of $40$ miles, the first $20$ miles at $60$ miles per hour and the rest $20$ miles at $30$

Jane goes the trip of $40$ miles, the first $20$ miles at $60$ miles per hour and the rest $20$ miles at $30$ miles per hour, what is the average speed of the entire trip? A. $30\,\text{miles/1hr}$ B. $36\,\text{miels/1hr}$ C. $40\,\text{miles/1hr}$ D. $42\,\text{miels/1hr}$ E. \(4...

by BTGmoderatorLU: Thu Oct 10, 2024 7:54 am; Forum: Problem Solving; Topic: Jane goes the trip of $40$ miles, the first $20$ miles at $60$ miles per hour and the rest $20$ miles at $30$; Replies: 0; Views: 58

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If a certain short animated film consists of a total of $21,600$ frames on film, how many minutes will it take to run

Data Sufficiency

If a certain short animated film consists of a total of $21,600$ frames on film, how many minutes will it take to run

If a certain short animated film consists of a total of $21,600$ frames on film, how many minutes will it take to run the film? 1. The film runs uninterrupted at a rate of $36$ frames per second 2. It takes $5$ times as long to run the film as it takes to rewind the film, and it takes a total ...

by BTGmoderatorLU: Thu Oct 10, 2024 7:32 am; Forum: Data Sufficiency; Topic: If a certain short animated film consists of a total of $21,600$ frames on film, how many minutes will it take to run; Replies: 0; Views: 36

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Two trains are moving in the opposite direction on parallel tracks at the speeds of $60\,\text{km/hr}$ and

Problem Solving

Two trains are moving in the opposite direction on parallel tracks at the speeds of $60\,\text{km/hr}$ and

Two trains are moving in the opposite direction on parallel tracks at the speeds of $60\,\text{km/hr}$ and $90\,\text{km/hr}$ respectively. The first train passes a telegraph post in $5$ seconds whereas the second train passes the post in $6$ seconds. What is the time taken (in seconds) by t...

by BTGmoderatorLU: Thu Oct 10, 2024 7:18 am; Forum: Problem Solving; Topic: Two trains are moving in the opposite direction on parallel tracks at the speeds of $60\,\text{km/hr}$ and; Replies: 0; Views: 25

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If the number of red marbles is three times the number of green marbles in a bowl of marbles with only two colors of

Problem Solving

If the number of red marbles is three times the number of green marbles in a bowl of marbles with only two colors of

If the number of red marbles is three times the number of green marbles in a bowl of marbles with only two colors of marbles, what is the ratio of the green marbles to all the marbles?

A. $1{:}3$
B. $1{:}4$
C. $3{:}4$
D. $3{:}1$
E. $4{:}1$

The OA is B

by BTGmoderatorLU: Sat Oct 05, 2024 1:06 pm; Forum: Problem Solving; Topic: If the number of red marbles is three times the number of green marbles in a bowl of marbles with only two colors of; Replies: 0; Views: 182

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The volume of cylinder $A$ is how much more than the volume of cylinder $B$ if cylinder $A$ has $x+4$ radius and

Data Sufficiency

The volume of cylinder $A$ is how much more than the volume of cylinder $B$ if cylinder $A$ has $x+4$ radius and

The volume of cylinder $A$ is how much more than the volume of cylinder $B$ if cylinder $A$ has $x+4$ radius and cylinder $B$ has a height of $4?$

1) cylinder $B$ has a volume of $6$
2) the ratio of cylinder A's volume to cylinder B's volume is $4{:}7$

The OA C

by BTGmoderatorLU: Sat Oct 05, 2024 12:58 pm; Forum: Data Sufficiency; Topic: The volume of cylinder $A$ is how much more than the volume of cylinder $B$ if cylinder $A$ has $x+4$ radius and; Replies: 0; Views: 52

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The ratio of men to women at an event is $5$ to $3.$ If $39$ women are at the event, how many people are at the

Problem Solving

The ratio of men to women at an event is $5$ to $3.$ If $39$ women are at the event, how many people are at the

The ratio of men to women at an event is $5$ to $3.$ If $39$ women are at the event, how many people are at the event?

A. $13$
B. $26$
C. $39$
D. $65$
E. $104$

The OA is E

by BTGmoderatorLU: Sat Oct 05, 2024 12:49 pm; Forum: Problem Solving; Topic: The ratio of men to women at an event is $5$ to $3.$ If $39$ women are at the event, how many people are at the; Replies: 0; Views: 62

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Referring to the $xy$-plane above, which of the following could be the equation of line $P?$

Problem Solving

Referring to the $xy$-plane above, which of the following could be the equation of line $P?$

123wq.jpg Referring to the $xy$-plane above, which of the following could be the equation of line $P?$ A. $y=\dfrac{2}{5}x-\dfrac{5}{2}$ B. $y=-\dfrac{5}{2}x+\dfrac{5}{2}$ C. $y=\dfrac{5}{2}x-\dfrac{5}{2}$ D. $y=\dfrac{2}{5}x+\dfrac{2}{5}$ E. $y=-\dfrac{5}{2}x-\dfrac{5}{2}$ The OA is E

by BTGmoderatorLU: Sat Sep 28, 2024 11:21 am; Forum: Problem Solving; Topic: Referring to the $xy$-plane above, which of the following could be the equation of line $P?$; Replies: 0; Views: 302

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Is the area of quadrilateral $ABCD$ equal to area of quadrilateral $AECD?$

Data Sufficiency

Is the area of quadrilateral $ABCD$ equal to area of quadrilateral $AECD?$

Is the area of quadrilateral $ABCD$ equal to area of quadrilateral $AECD?$

1. The coordinates of the points $A, B, C$ and $D$ are $(0, 5), (6, 0), (0, -3)$ and $(-2, 0),$ respectively.
2. The point $E$ lines on the line $x=6$

The OA is C

by BTGmoderatorLU: Sat Sep 28, 2024 11:06 am; Forum: Data Sufficiency; Topic: Is the area of quadrilateral $ABCD$ equal to area of quadrilateral $AECD?$; Replies: 0; Views: 173

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Which of the following equations represents a line on $xy$-plane that includes exactly only one point $P(Xp; Yp)$

Problem Solving

Which of the following equations represents a line on $xy$-plane that includes exactly only one point $P(Xp; Yp)$

Which of the following equations represents a line on $xy$-plane that includes exactly only one point $P(Xp; Yp)$ with integer coordinates $(Xp$ and $Yp$ are both integer numbers$)?$

A. $y= 2x$
B. $2x-2y+1=0$
C. $y-5=3x$
D. $2y-\sqrt{2}x =0$
E. $2y= x+2$

The OA is D

by BTGmoderatorLU: Sat Sep 28, 2024 10:56 am; Forum: Problem Solving; Topic: Which of the following equations represents a line on $xy$-plane that includes exactly only one point $P(Xp; Yp)$; Replies: 0; Views: 201

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A line segment is drawn in the $xy$-coordinate plane with endpoints $P(3,5)$ and $Q(8,0).$ Line $n$ is drawn

Data Sufficiency

A line segment is drawn in the $xy$-coordinate plane with endpoints $P(3,5)$ and $Q(8,0).$ Line $n$ is drawn

A line segment is drawn in the $xy$-coordinate plane with endpoints $P(3,5)$ and $Q(8,0).$ Line $n$ is drawn so that it intersects $PQ.$ What is the slope of line $n?$

1) Point $A$ is located on line $n,$ and $AP=AQ$

2) The $x$-intercept of line $n$ is $(3,0)$

The OA is E

by BTGmoderatorLU: Sat Sep 28, 2024 10:47 am; Forum: Data Sufficiency; Topic: A line segment is drawn in the $xy$-coordinate plane with endpoints $P(3,5)$ and $Q(8,0).$ Line $n$ is drawn; Replies: 0; Views: 224

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For the line whose equation is $\dfrac{y+2-b}{x}=m+\dfrac{2}{x},$ $m$ is not zero. If the line is rotated

Problem Solving

For the line whose equation is $\dfrac{y+2-b}{x}=m+\dfrac{2}{x},$ $m$ is not zero. If the line is rotated

For the line whose equation is $\dfrac{y+2-b}{x}=m+\dfrac{2}{x},$ $m$ is not zero. If the line is rotated $90^{\circ},$ then the slope of that line would be

A. $1/m$
B. $-1/m$
C. $m$
D. $-m$
E. $m-2$

The OA is B

by BTGmoderatorLU: Sat Sep 28, 2024 10:41 am; Forum: Problem Solving; Topic: For the line whose equation is $\dfrac{y+2-b}{x}=m+\dfrac{2}{x},$ $m$ is not zero. If the line is rotated; Replies: 0; Views: 218

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What is the sum of all even integers between $30$ and $50,$ inclusive?

Problem Solving

What is the sum of all even integers between $30$ and $50,$ inclusive?

What is the sum of all even integers between $30$ and $50,$ inclusive?

A. $640$
B. $540$
C. $480$
D. $440$
E. $240$

The OA is D

by BTGmoderatorLU: Thu Sep 19, 2024 4:52 pm; Forum: Problem Solving; Topic: What is the sum of all even integers between $30$ and $50,$ inclusive?; Replies: 0; Views: 653

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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

The OA is A

by BTGmoderatorLU: Thu Sep 19, 2024 4:36 pm; 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: 454

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The floor space in a certain market is rented for $\$15$ per $30$ square feet for one day. In the market, Alice

Problem Solving

The floor space in a certain market is rented for $\$15$ per $30$ square feet for one day. In the market, Alice

The floor space in a certain market is rented for $\$15$ per $30$ square feet for one day. In the market, Alice rented a rectangular floor space that measured $8$ feet by $15$ feet, and Betty rented a rectangular floor space that measured $15$ feet by $20$ feet. If each woman rented her ...

by BTGmoderatorLU: Thu Sep 19, 2024 4:29 pm; Forum: Problem Solving; Topic: The floor space in a certain market is rented for $\$15$ per $30$ square feet for one day. In the market, Alice; Replies: 0; Views: 349

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by BTGmoderatorLU: Thu Sep 12, 2024 3:54 pm; Forum: Problem Solving; Topic: If Sally drives at a constant speed of $50$ miles per hour, how many minutes will be required for her to drive $10$; Replies: 0; Views: 616

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