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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: 65

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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: 52

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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: 49

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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: 50

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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: 51

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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: 345

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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: 170

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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: 153

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If Sally drives at a constant speed of $50$ miles per hour, how many minutes will be required for her to drive $10$

Problem Solving

If Sally drives at a constant speed of $50$ miles per hour, how many minutes will be required for her to drive $10$

If Sally drives at a constant speed of $50$ miles per hour, how many minutes will be required for her to drive $10$ miles?

A. $9$
B. $10$
C. $11$
D. $12$
E. $13$

The OA is D

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: 331

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How long did it take Henry to drive to work last Wednesday? (He did not stop on the way).

Data Sufficiency

How long did it take Henry to drive to work last Wednesday? (He did not stop on the way).

How long did it take Henry to drive to work last Wednesday? (He did not stop on the way).

1) If he had driven twice as fast he would have taken $35$ minutes

2) His average speed was $30$ miles per hour

The OA is A

by BTGmoderatorLU: Thu Sep 12, 2024 3:34 pm; Forum: Data Sufficiency; Topic: How long did it take Henry to drive to work last Wednesday? (He did not stop on the way).; Replies: 0; Views: 211

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Two cars started from the same point and traveled on a straight course in opposite directions for exactly $3$ hours

Problem Solving

Two cars started from the same point and traveled on a straight course in opposite directions for exactly $3$ hours

Two cars started from the same point and traveled on a straight course in opposite directions for exactly $3$ hours, at which time they were $300$ miles apart. If one car traveled, on average, $10$ miles per hour faster than the other car, what was the average speed of the slower car for the \...

by BTGmoderatorLU: Thu Sep 12, 2024 3:26 pm; Forum: Problem Solving; Topic: Two cars started from the same point and traveled on a straight course in opposite directions for exactly $3$ hours; Replies: 0; Views: 208

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Tom's movers charge $\$100$ per hour for their moving services with a $25\%$ discounted hourly rate after $4$

Problem Solving

Tom's movers charge $\$100$ per hour for their moving services with a $25\%$ discounted hourly rate after $4$

Tom's movers charge $\$100$ per hour for their moving services with a $25\%$ discounted hourly rate after $4$ hours. How long did Maria's move take if her total bill was $\$565.00?$ A. $6$ hours, $12$ minutes B. $6$ hours, $45$ minutes C. $7$ hours D. $7$ hours, $10$ minutes E....

by BTGmoderatorLU: Fri Sep 06, 2024 6:16 pm; Forum: Problem Solving; Topic: Tom's movers charge $\$100$ per hour for their moving services with a $25\%$ discounted hourly rate after $4$; Replies: 0; Views: 291

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What is the ratio of elephants to monkeys in a zoo, if number of elephants is less than $20?$

Data Sufficiency

What is the ratio of elephants to monkeys in a zoo, if number of elephants is less than $20?$

What is the ratio of elephants to monkeys in a zoo, if number of elephants is less than $20?$

1. Monkeys are $20$ more than elephants in number

2. Number of elephants is a factor of $20,$ and more than $5$

The OA is C

by BTGmoderatorLU: Fri Sep 06, 2024 5:58 pm; Forum: Data Sufficiency; Topic: What is the ratio of elephants to monkeys in a zoo, if number of elephants is less than $20?$; Replies: 0; Views: 232

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At Nat’s Nuts a $2.25$ pound bag of pistachio nuts cost $\$6.00.$ At this rate, what is the cost in cents of a bag

Problem Solving

At Nat’s Nuts a $2.25$ pound bag of pistachio nuts cost $\$6.00.$ At this rate, what is the cost in cents of a bag

At Nat’s Nuts a $2.25$ pound bag of pistachio nuts cost $\$6.00.$ At this rate, what is the cost in cents of a bag weighing $9$ ounces? ($1$ pound = $16$ ounces)

A. $1.5$
B. $24$
C. $150$
D. $1350$
E. $2400$

The OA is C

by BTGmoderatorLU: Fri Sep 06, 2024 5:47 pm; Forum: Problem Solving; Topic: At Nat’s Nuts a $2.25$ pound bag of pistachio nuts cost $\$6.00.$ At this rate, what is the cost in cents of a bag; Replies: 0; Views: 257

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by BTGmoderatorLU: Wed Aug 28, 2024 4:42 pm; Forum: Problem Solving; Topic: Marisol is twice as old as Vikram. Eight years ago, Marisol was $6$ years younger than three times Vikram’s age at; Replies: 0; Views: 432

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