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A pharmaceutical company received \(\$3\) million in royalties on the first \(\$20\) million in sales of the generic
Problem Solving
A pharmaceutical company received \(\$3\) million in royalties on the first \(\$20\) million in sales of the generic
A pharmaceutical company received \(\$3\) million in royalties on the first \(\$20\) million in sales of the generic equivalent of one of its products and then \(\$9\) million in royalties on the next \(\$108\) million in sales. By approximately what percent did the ratio of royalties to sales decre...
- by Vincen
Fri Jan 28, 2022 4:50 am- Forum: Problem Solving
- Topic: A pharmaceutical company received \(\$3\) million in royalties on the first \(\$20\) million in sales of the generic
- Replies: 1
- Views: 649
If \(|12x - 3| = |3x + 15|,\) what is the value of \(x?\)
If \(|12x - 3| = |3x + 15|,\) what is the value of \(x?\)
(1) \(x > 0\)
(2) \(x\) is an integer.
Answer: D
Source: Veritas Prep
- by Vincen
Fri Jan 28, 2022 4:47 am- Forum: Data Sufficiency
- Topic: If \(|12x - 3| = |3x + 15|,\) what is the value of \(x?\)
- Replies: 1
- Views: 4708
A farmer owns a square parcel of land, on which the longest straight-line distance he can travel between any two points
Problem Solving
A farmer owns a square parcel of land, on which the longest straight-line distance he can travel between any two points
farmland.png A farmer owns a square parcel of land, on which the longest straight-line distance he can travel between any two points on his property is \(4\) kilometers. If he purchases the land immediately to the north of his property, and if that land is the same width east to west but twice as l...
- by Vincen
Thu Jan 27, 2022 12:57 pm- Forum: Problem Solving
- Topic: A farmer owns a square parcel of land, on which the longest straight-line distance he can travel between any two points
- Replies: 0
- Views: 323
Water is pumped into a partially filled tank at a constant rate through an inlet pipe. At the same time, water is pumped
Data Sufficiency
Water is pumped into a partially filled tank at a constant rate through an inlet pipe. At the same time, water is pumped
Water is pumped into a partially filled tank at a constant rate through an inlet pipe. At the same time, water is pumped out of the tank at a constant rate through an outlet pipe. At what rate, in gallons per minute, is the amount of water in the tank increasing? (1) The amount of water initially in...
- by Vincen
Thu Jan 27, 2022 12:53 pm- Forum: Data Sufficiency
- Topic: Water is pumped into a partially filled tank at a constant rate through an inlet pipe. At the same time, water is pumped
- Replies: 0
- Views: 271
If \((x + y)^2 = 16\) and \(x^2 - y^2 = 16,\) what is the value of \(2x^2?\)
If \((x + y)^2 = 16\) and \(x^2 - y^2 = 16,\) what is the value of \(2x^2?\)
(A) 8
(B) 16
(C) 18
(D) 32
(E) 50
Answer: D
Source: Manhattan GMAT
- by Vincen
Thu Jan 27, 2022 12:50 pm- Forum: Problem Solving
- Topic: If \((x + y)^2 = 16\) and \(x^2 - y^2 = 16,\) what is the value of \(2x^2?\)
- Replies: 0
- Views: 267
In the sequence of positive numbers \(x_1, x_2, x_3, \ldots,\) what is the value of \(x_1?\)
Data Sufficiency
In the sequence of positive numbers \(x_1, x_2, x_3, \ldots,\) what is the value of \(x_1?\)
In the sequence of positive numbers \(x_1, x_2, x_3, \ldots,\) what is the value of \(x_1?\)
(1) \(x_i=\dfrac{x_{i-1}}2\) for all integers \(i>1.\)
(2) \(x_5=\dfrac{x_4}{x_4+1}\)
Answer: C
Source: GMAT Prep
- by Vincen
Thu Jan 27, 2022 12:48 pm- Forum: Data Sufficiency
- Topic: In the sequence of positive numbers \(x_1, x_2, x_3, \ldots,\) what is the value of \(x_1?\)
- Replies: 0
- Views: 290
A multiple-choice test consists of 4 questions, and each question has 5 answer choices. In how many ways can the test be
Problem Solving
A multiple-choice test consists of 4 questions, and each question has 5 answer choices. In how many ways can the test be
A multiple-choice test consists of 4 questions, and each question has 5 answer choices. In how many ways can the test be completed if every question is unanswered?
A) 24
B) 120
C) 625
D) 720
E) 1024
Answer: C
Source: Veritas Prep
- by Vincen
Thu Jan 27, 2022 12:46 pm- Forum: Problem Solving
- Topic: A multiple-choice test consists of 4 questions, and each question has 5 answer choices. In how many ways can the test be
- Replies: 0
- Views: 240
In the product \(2^{19}\cdot 9^{13}\cdot 5^{24},\) what is the digit in the \(20th\) place to the left of the decimal
Problem Solving
In the product \(2^{19}\cdot 9^{13}\cdot 5^{24},\) what is the digit in the \(20th\) place to the left of the decimal
In the product \(2^{19}\cdot 9^{13}\cdot 5^{24},\) what is the digit in the \(20th\) place to the left of the decimal point?
A. 0
B. 2
C. 4
D. 5
E. 9
Answer: D
Source: Veritas Prep
- by Vincen
Thu Jan 27, 2022 12:44 pm- Forum: Problem Solving
- Topic: In the product \(2^{19}\cdot 9^{13}\cdot 5^{24},\) what is the digit in the \(20th\) place to the left of the decimal
- Replies: 0
- Views: 240
If \(CD\) is the diameter of the circle, does \(x\) equal \(30?\)
(1) The length of \(CD\) is twice the length of \(BD.\)
(2) \(y = 60\)
Answer: D
Source: Manhattan GMAT
- by Vincen
Thu Jan 27, 2022 12:42 pm- Forum: Data Sufficiency
- Topic: If \(CD\) is the diameter of the circle, does \(x\) equal \(30?\)
- Replies: 0
- Views: 264
If \(c\) is an integer and \(c > 0,\) is \(c\) a root of the equation \(x^3-14x^2+24x=0 ?\)
Data Sufficiency
If \(c\) is an integer and \(c > 0,\) is \(c\) a root of the equation \(x^3-14x^2+24x=0 ?\)
If \(c\) is an integer and \(c > 0,\) is \(c\) a root of the equation \(x^3-14x^2+24x=0 ?\)
(1) \(c\) is prime.
(2) \(c\) is odd.
Answer: B
Source: Princeton Review
- by Vincen
Thu Jan 27, 2022 12:40 pm- Forum: Data Sufficiency
- Topic: If \(c\) is an integer and \(c > 0,\) is \(c\) a root of the equation \(x^3-14x^2+24x=0 ?\)
- Replies: 0
- Views: 195
Adam wants to build a fence around his rectangular garden of length 10 meters and width 15 meters. How many meters of
Problem Solving
Adam wants to build a fence around his rectangular garden of length 10 meters and width 15 meters. How many meters of
Adam wants to build a fence around his rectangular garden of length 10 meters and width 15 meters. How many meters of the fence should buy he to fence the entire garden?
A. 20 metres
B. 25 metres
C. 30 metres
D. 40 metres
E. 50 metres
Answer: E
Source: e-GMAT
- by Vincen
Thu Jan 27, 2022 12:38 pm- Forum: Problem Solving
- Topic: Adam wants to build a fence around his rectangular garden of length 10 meters and width 15 meters. How many meters of
- Replies: 0
- Views: 221
Is \(4^{x+y}=8^{10}?\)
Is \(4^{x+y}=8^{10}?\)
(1) \(x - y = 9\)
(2) \(\dfrac{y}{x} = \dfrac14\)
Answer: C
Source: Official Guide
- by Vincen
Thu Jan 27, 2022 12:36 pm- Forum: Data Sufficiency
- Topic: Is \(4^{x+y}=8^{10}?\)
- Replies: 0
- Views: 215
Steve wants to paint one rectangular-shaped wall of his room. The cost to paint the wall is \(\$1.5\) per square meter.
Problem Solving
Steve wants to paint one rectangular-shaped wall of his room. The cost to paint the wall is \(\$1.5\) per square meter.
Steve wants to paint one rectangular-shaped wall of his room. The cost to paint the wall is \(\$1.5\) per square meter. If the wall is \(25\) meters long and \(18\) meters wide, then what is the total cost to paint the wall? A. \(\$ 300\) B. \(\$ 350\) C. \(\$ 450\) D. \(\$ 600\) E. \(\$ 675\) Answe...
- by Vincen
Thu Jan 27, 2022 12:35 pm- Forum: Problem Solving
- Topic: Steve wants to paint one rectangular-shaped wall of his room. The cost to paint the wall is \(\$1.5\) per square meter.
- Replies: 0
- Views: 260
Is \(\dfrac{x}{m}\cdot (m^2+n^2+k^2)=xm+yn+zk?\)
Is \(\dfrac{x}{m}\cdot (m^2+n^2+k^2)=xm+yn+zk?\)
(1) \(\dfrac{z}{k}=\dfrac{x}{m}\)
(2) \(\dfrac{x}{m}=\dfrac{y}{n}\)
Answer: C
Source: Official Guide
- by Vincen
Thu Jan 27, 2022 12:32 pm- Forum: Data Sufficiency
- Topic: Is \(\dfrac{x}{m}\cdot (m^2+n^2+k^2)=xm+yn+zk?\)
- Replies: 0
- Views: 257
Bill and Jane play a simple game involving two fair dice, each of which has six sides numbered from 1 to 6
Problem Solving
Bill and Jane play a simple game involving two fair dice, each of which has six sides numbered from 1 to 6
Bill and Jane play a simple game involving two fair dice, each of which has six sides numbered from 1 to 6 (with an equal chance of landing on any side). Bill rolls the dice and his score is the total of the two dice. Jane then rolls the dice and her score is the total of her two dice. If Jane’s sco...
- by Vincen
Thu Jan 27, 2022 12:28 pm- Forum: Problem Solving
- Topic: Bill and Jane play a simple game involving two fair dice, each of which has six sides numbered from 1 to 6
- Replies: 0
- Views: 262