## Search found 2876 matches

#### In a 200 member association consisting of men and women, exactly 20% of men and exactly 25 % of women are homeowners.

##### In a 200 member association consisting of men and women, exactly 20% of men and exactly 25 % of women are homeowners.

In a 200 member association consisting of men and women, exactly 20% of men and exactly 25 % of women are homeowners. What is the least number of members who are homeowners?

A. 49
B. 47
C. 45
D. 43
E. 41

Source: Official Guide

#### In a sequence of terms in which each term is three times the previous term, what is the fourth term?

##### In a sequence of terms in which each term is three times the previous term, what is the fourth term?

In a sequence of terms in which each term is three times the previous term, what is the fourth term?

(1) The first term is $$3.$$

(2) The second-to-last term is $$3^{10.}$$

Source: Manhattan GMAT

#### For a party, three solid cheese balls with diameters of $$2$$ inches, $$4$$ inches, and $$6$$ inches, respectively, were

##### For a party, three solid cheese balls with diameters of $$2$$ inches, $$4$$ inches, and $$6$$ inches, respectively, were

For a party, three solid cheese balls with diameters of $$2$$ inches, $$4$$ inches, and $$6$$ inches, respectively, were combined to form a single cheese ball. What was the approximate diameter, in inches, of the new cheese ball? (The volume of a sphere is $$\dfrac43\pi r^3,$$ where $$r$$ is the rad...

#### Set $$X$$ consists of exactly four distinct integers that are greater than $$1.$$ For each integer in the set, all of

##### Set $$X$$ consists of exactly four distinct integers that are greater than $$1.$$ For each integer in the set, all of

Set $$X$$ consists of exactly four distinct integers that are greater than $$1.$$ For each integer in the set, all of that integer’s unique prime factors are also in the set. For example, if $$20$$ is in set $$X,$$ then $$2$$ and $$5$$ must also be in set $$X.$$ How many of the distinct integers in ...

#### A set of 12 test scores has an average of 500 and a standard deviation of 50. Which of the following sets of additional

##### A set of 12 test scores has an average of 500 and a standard deviation of 50. Which of the following sets of additional

A set of 12 test scores has an average of 500 and a standard deviation of 50. Which of the following sets of additional test scores, when combined with the original set of 12 test scores, must result in a combined data set with a standard deviation less than 50? (A) 6 test scores with an average of ...

#### Two pieces of fruit are selected out of a group of 8 pieces of fruit consisting only of apples and bananas. What is the

##### Two pieces of fruit are selected out of a group of 8 pieces of fruit consisting only of apples and bananas. What is the

Two pieces of fruit are selected out of a group of 8 pieces of fruit consisting only of apples and bananas. What is the probability of selecting exactly 2 bananas? (1) The probability of selecting exactly 2 apples is greater than 1/2. (2) The probability of selecting 1 apple and 1 banana in either o...

For all positive integers $$n,$$ the sequence $$A_n$$ is defined by the following relationship: $$A_n=\dfrac{n-1}{n!}.$$ What is the sum of all the terms in the sequence from $$A_1$$ through $$A_{10},$$ inclusive? (A) $$\dfrac{9!+1}{10!}$$ (B) $$\dfrac{9(9!)}{10!}$$ (C) $$\dfrac{10!-1}{10!}$$ (D) $$... #### If \(a$$ and $$b$$ are nonzero numbers on the number line, is $$0$$ between $$a$$ and $$b?$$

##### If $$a$$ and $$b$$ are nonzero numbers on the number line, is $$0$$ between $$a$$ and $$b?$$

If $$a$$ and $$b$$ are nonzero numbers on the number line, is $$0$$ between $$a$$ and $$b?$$ (1) The distance between $$0$$ and $$a$$ is greater than the distance between $$0$$ and $$b.$$ (2) The sum of the distances between $$0$$ and $$a$$ and between $$0$$ and $$b$$ is greater than the distance be...

#### 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

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...

#### If $$|12x - 3| = |3x + 15|,$$ what is the value of $$x?$$

##### 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.

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: 0
Views: 8

#### 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: 13

#### 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