## Search found 2866 matches

#### 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:
**9**

#### 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:
**6**

##### 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:
**3**

#### 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:
**3**

#### 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:
**3**

#### 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:
**3**

##### If \(CD\) is the diameter of the circle, does \(x\) equal \(30?\)

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:
**3**

#### 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:
**3**

#### 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:
**3**

##### 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:
**3**

#### 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:
**3**

##### 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:
**3**

#### 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:
**3**

##### If \(n\) and \(k\) are positive integers, is \(\sqrt{n+k}>2\sqrt{n}?\)

If \(n\) and \(k\) are positive integers, is \(\sqrt{n+k}>2\sqrt{n}?\)

(1) \(k > 3n\)

(2) \(n + k > 3n\)

Answer: A

Source: GMAT Paper Tests

- by Vincen

Thu Jan 27, 2022 12:26 pm- Forum: Data Sufficiency
- Topic: If \(n\) and \(k\) are positive integers, is \(\sqrt{n+k}>2\sqrt{n}?\)
- Replies:
**0** - Views:
**3**

#### At a college football game, \(\dfrac45\) of the seats in the lower deck of the stadium were sold. If \(\dfrac14\) of all

###### Problem Solving

##### At a college football game, \(\dfrac45\) of the seats in the lower deck of the stadium were sold. If \(\dfrac14\) of all

At a college football game, \(\dfrac45\) of the seats in the lower deck of the stadium were sold. If \(\dfrac14\) of all the seating in the stadium is located in the lower deck, and if \(\dfrac23\) of all the seats in the stadium were sold, what fraction of the unsold seats in the stadium were in th...

- by Vincen

Wed Jan 12, 2022 10:12 am- Forum: Problem Solving
- Topic: At a college football game, \(\dfrac45\) of the seats in the lower deck of the stadium were sold. If \(\dfrac14\) of all
- Replies:
**0** - Views:
**56**