## 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

##### 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...

#### 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

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...

#### 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 $$2x^2?$$

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

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 $$x_1?$$

##### 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) $$x_5=\dfrac{x_4}{x_4+1}$$

Source: GMAT Prep

#### 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

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

Source: Veritas Prep

#### 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

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

Source: Veritas Prep

#### If $$CD$$ is the diameter of the circle, does $$x$$ equal $$30?$$

##### 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) $$y = 60$$

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 $$x^3-14x^2+24x=0 ?$$

##### 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.

Source: Princeton Review

#### 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

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

Source: e-GMAT

#### Is $$4^{x+y}=8^{10}?$$

##### Is $$4^{x+y}=8^{10}?$$

Is $$4^{x+y}=8^{10}?$$

(1) $$x - y = 9$$
(2) $$\dfrac{y}{x} = \dfrac14$$

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.

##### 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...

#### Is $$\dfrac{x}{m}\cdot (m^2+n^2+k^2)=xm+yn+zk?$$

##### Is $$\dfrac{x}{m}\cdot (m^2+n^2+k^2)=xm+yn+zk?$$

Is $$\dfrac{x}{m}\cdot (m^2+n^2+k^2)=xm+yn+zk?$$

(1) $$\dfrac{z}{k}=\dfrac{x}{m}$$

(2) $$\dfrac{x}{m}=\dfrac{y}{n}$$

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

##### 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...

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

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

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

(1) $$k > 3n$$
(2) $$n + k > 3n$$

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

##### 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...