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Coordinate Geometry

What is the slope of line \(m?\)

1) The points \((1,5)\) and \((5,-7)\) lie on line \(m\)
2) Line \(m\) is parallel to the line described by \(3x+y=17\)

The OA is D

Source: Princeton Review

by swerve

Wed Sep 22, 2021 8:29 am
Forum: Data Sufficiency
Topic: Coordinate Geometry
Replies: 0
Views: 69

Geometry

2019-04-27_0141.png In the floor plan of an executive's beach house above, the north and south walls of the living room are parallel. What is the floor area, in square feet, of the bedroom? A. \(450\sqrt{3]\) B. \(450\) C. \(225\sqrt{3}\) D. \(225\) E. It cannot be determined from the information g...

by swerve

Wed Sep 22, 2021 8:16 am
Forum: Problem Solving
Topic: Geometry
Replies: 0
Views: 77

Re: If \(k = (n + 2)(n - 2),\) where \(n\) is an integer value greater than \(2,\) what is the value of \(k?\)

If \(k = (n + 2)(n - 2),\) where \(n\) is an integer value greater than \(2,\) what is the value of \(k?\) (1) \(k\) is the product of two primes (2) \(k < 100\) Answer: E Source: Official Guide Let us begin with (2) \((n-2) \ast (n+2) = n^2 - 4\) since \(k<100\) we have \(96, 77, 60, 45, 32, 21, 1...


Re: An empty bucket being filled with paint at a constant rate takes 6 minutes to be filled to 7/10 of its capacity. How

An empty bucket being filled with paint at a constant rate takes 6 minutes to be filled to 7/10 of its capacity. How much more time will it take to fill the bucket to full capacity? A. 7/18 B. 9/18 C. 2 D. 18/7 E. 18/5 OA D Source: Manhattan Prep Rate \(=\dfrac{7}{10} \ast \dfrac{C}{6} = \dfrac{7}{...


Re: Which of the following lines is perpendicular to \(4x + 5y = 9\) on the \(xy\) plane?

Which of the following lines is perpendicular to \(4x + 5y = 9\) on the \(xy\) plane? A. \(y=\dfrac54x+2\) B. \(y=\dfrac{-5}{4}x+9\) C. \(y=-4x+\dfrac95\) D. \(y=\dfrac45x+\dfrac{-4}5\) E. \(y=\dfrac{-4}{5}x\) Answer: A Source: Manhattan GMAT \(4x + 5y = 9\) \(y = -\dfrac{4}{5}x + \dfrac{9}{5}\) Sl...


Re: If integer C is randomly selected from 20 to 99, inclusive. What is the probability that C^3 - C is divisible by 12

If integer C is randomly selected from 20 to 99, inclusive. What is the probability that C^3 - C is divisible by 12 ? A. 1/2 B. 2/3 C. 3/4 D. 4/5 E. 1/3 OA C Source: Manhattan Prep \((C-1)C(C+1)\) should be divisible by \(12.\) Question is: How many of the integers from \(20\) to \(99\) are either ...


Re: An investor purchased 100 shares of stock X at 6 1/8 dollars per share and sold them all a year later at 24 dollars

An investor purchased 100 shares of stock X at 6 1/8 dollars per share and sold them all a year later at 24 dollars per share. If the investor paid a 2 percent brokerage fee on both the total purchase price and the total selling price, which of the following is closest to the investor's percent gai...


Geometry

The volume of a rectangular box \(x\) inches wide, \(y\) inches long, and \(z\) inches high is \(108 \text{ in}^3.\) If \(x \leq y \leq z,\) what is \(x+yz?\) 1) The area of the largest face of the box is \(36 \text{ in}^2\) 2) The longest edge of the box is \(9\) inches The OA is A Source: Manhatta...

by swerve

Thu Sep 09, 2021 2:09 pm
Forum: Data Sufficiency
Topic: Geometry
Replies: 0
Views: 65

Fractions/Ratios/Decimals

At a monthly meeting, 2/5 of the attendees were males and 7/8 of the male attendees arrived on time. If 9/10 of the female attendees arrived on time, what fraction of the attendees at the monthly meeting did not arrive on time? A. 11/100 B. 3/25 C. 7/50 D. 3/20 E. 4/25 The OA is A Source: Official G...

by swerve

Thu Sep 09, 2021 1:59 pm
Forum: Problem Solving
Topic: Fractions/Ratios/Decimals
Replies: 0
Views: 69

Re: A certain restaurant offers 8 different salads, 5 different main courses, 6 different desserts. If customers choose

A certain restaurant offers 8 different salads, 5 different main courses, 6 different desserts. If customers choose one salad, one main course and two different desserts for their meal, how many different meals are possible? A. 120 B. 240 C. 480 D. 600 E. 1200 OA D Source: Magoosh Let's see, Salad ...


Re: When positive integer x is divided by 11, the quotient is y and the remainder is 4. When 2x is divided by 8, the

When positive integer x is divided by 11, the quotient is y and the remainder is 4. When 2x is divided by 8, the quotient is 3y and the remainder is 2. What is the value of 13y – x ? A. -4 B. -2 C. 0 D. 2 E. 4 OA D Source: Magoosh From the question stem, we can get two equations: \begin{align*} \be...


Re: If x is a positive number, is x an even integer?

If x is a positive number, is x an even integer? (1) 3x is an even integer. (2) 5x is an even integer. OA C Source: Manhattan Prep \(x\) is positive Integer means we need to think only in positive fractions and integers. 1) \(3x\) is an even integer. Let \(x= 2 \Rightarrow 3x=6 \Rightarrow x\) is e...

by swerve

Fri Sep 03, 2021 3:24 am
Forum: Data Sufficiency
Topic: If x is a positive number, is x an even integer?
Replies: 1
Views: 95

Re: University A charges $9,000 annually for tuition and $3,000 annually for room and board. University A charges 10% le

University A charges $9,000 annually for tuition and $3,000 annually for room and board. University A charges 10% less than University B does for tuition and 20% more than University B does for room and board. The total annual cost of tuition, room and board is how much more or less at University A...


Geometry

BC parallel DE.png
If \(BC \parallel DE,\) and angle \(AEF\) is a right angle, then is \(AC > AB?\)

1) \(DE = EF\)
2) \(AE > AD\)

The OA is D

Source: E-GMAT

by swerve

Wed Sep 01, 2021 8:09 am
Forum: Data Sufficiency
Topic: Geometry
Replies: 0
Views: 71

Coordinate Geometry

On the \(xy\)-coordinate grid, are points \(A(x_1,y_1)\) and \(B(x_2,y_2)\) equidistant from the origin?

1) \(|x_1|=|y_1|\) for point \(A\) and \(|x_2|=|y_2|\) for point \(B\)
2) \(|x_1|,|y_1|\) of point \(A=|x_2|,|y_2|\) of point \(B\)

The OA is B

Source: E-GMAT

by swerve

Wed Sep 01, 2021 8:03 am
Forum: Data Sufficiency
Topic: Coordinate Geometry
Replies: 0
Views: 66