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#### pq < 70, where both P and Q are distinct odd primes. Determine PQ. Statement

##### Re: pq < 70, where both P and Q are distinct odd primes. Determine PQ. Statement

pq < 70, where both P and Q are distinct odd primes. Determine PQ. Statement (1): PQ is one greater than a power of two. Statement (2): The sum of the digits of PQ is a prime number. OA C Source: Veritas Prep From 1 $$PQ=32+1=33=3*11$$ $$PQ=64+1=65=5*13$$ Not Sufficient. $$\Large{\color{red}\chi}$$...

by swerve

Wed Oct 27, 2021 8:09 am
Forum: Data Sufficiency
Topic: pq < 70, where both P and Q are distinct odd primes. Determine PQ. Statement
Replies: 1
Views: 16

#### Rectangle ABCD is constructed in the coordinate plane parallel

##### Re: Rectangle ABCD is constructed in the coordinate plane parallel

Rectangle ABCD is constructed in the coordinate plane parallel to the x- and y-axes. If the x- and y-coordinates of each of the points are integers which satisfy 3 ≤ x ≤ 11 and -5 ≤ y ≤ 5, how many possible ways are there to construct rectangle ABCD? 396 1260 1980 7920 15840 Answer: C Source: Grock...

by swerve

Thu Oct 21, 2021 2:25 pm
Forum: Problem Solving
Topic: Rectangle ABCD is constructed in the coordinate plane parallel
Replies: 2
Views: 151

#### Is g greater than .36?

##### Re: Is g greater than .36?

Is g greater than .36? (1) g is greater than 1/3 (1) g is equal to 5/12 OA B Source: Veritas Prep 1. $$g \gt 1/3 = 0.33, g$$ could be $$0.34$$ and not $$\gt 0.36$$ not sufficient $$\Large{\color{red}\chi}$$ 2. $$g= 5/12 = 0.41$$ so must be $$\gt 0.36$$ sufficient $$\Large{\color{green}\checkmark}\... by swerve Thu Oct 14, 2021 3:21 am Forum: Data Sufficiency Topic: Is g greater than .36? Replies: 1 Views: 88 #### If r is divisible by 10 and s is divisible by 9, rs must have at least how many factors? ###### Problem Solving ##### Re: If r is divisible by 10 and s is divisible by 9, rs must have at least how many factors? If r is divisible by 10 and s is divisible by 9, rs must have at least how many factors? (A) Two (B) Four (C) Twelve (D) Fourteen (E) Sixteen OA C Source: Manhattan Prep Minimum value of \(R=10$$ and minimum value of $$S=9$$ So, the minimum value of $$RS=90$$ Now, prime factorizing $$90$$ gives $$2... #### In the figure shown above, point E is the intersection point of the diagonals AC and BD of ###### Data Sufficiency ##### Re: In the figure shown above, point E is the intersection point of the diagonals AC and BD of Screenshot 2020-04-01 at 8.55.41 PM.png In the figure shown above, point E is the intersection point of the diagonals AC and BD of rectangle ABCD and the length of AB = 7.25 cm. Is AB greater than BC? 1. EC = 5 cm 2. The perimeter of AEB is greater than the perimeter of BEC OA D Source: e-GMAT Diag... #### Working at their individual rates, Marcus and Latrell can build a certain brick house in 7.5 and 5 hours, respectively. ###### Problem Solving ##### Re: Working at their individual rates, Marcus and Latrell can build a certain brick house in 7.5 and 5 hours, respective Working at their individual rates, Marcus and Latrell can build a certain brick house in 7.5 and 5 hours, respectively. When they work together,they are paid 35 per hour. If they share their pay in proportion to the amount of work each does,then what is Marcus’ hourly pay for building the house? A... #### Coordinate Geometry ###### Data Sufficiency ##### 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: 56

#### Geometry

##### 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: 63

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

##### 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...

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

##### 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 ...

#### 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

##### 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...