## Problem Solving

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For all positive integers $$n,$$ the sequence $$A_n$$ is defined by the following relationship:
by Vincen »
For all positive integers $$n,$$ the sequence $$A_n$$ is defined by...
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Last post by Vincen
Fri Jan 28, 2022 4:56 am
Rachel needs to type up her 1950-word paper by its 5 pm deadline. If she starts at least two hours in advance, her
by BTGmoderatorDC »
Rachel needs to type up her 1950-word paper by its 5 pm deadline. If...
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Last post by BTGmoderatorDC
Thu Jan 27, 2022 6:15 pm
A farmer owns a square parcel of land, on which the longest straight-line distance he can travel between any two points
by Vincen »
farmland.png A farmer owns a square parcel of land, on which the...
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Last post by Vincen
Thu Jan 27, 2022 12:57 pm
If $$(x + y)^2 = 16$$ and $$x^2 - y^2 = 16,$$ what is the value of $$2x^2?$$
by Vincen »
If $$(x + y)^2 = 16$$ and $$x^2 - y^2 = 16,$$ what is the value of...
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Last post by Vincen
Thu Jan 27, 2022 12:50 pm
A multiple-choice test consists of 4 questions, and each question has 5 answer choices. In how many ways can the test be
by Vincen »
A multiple-choice test consists of 4 questions, and each question has...
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Last post by Vincen
Thu Jan 27, 2022 12:46 pm
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
by Vincen »
In the product $$2^{19}\cdot 9^{13}\cdot 5^{24},$$ what is the digit...
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Last post by Vincen
Thu Jan 27, 2022 12:44 pm
Adam wants to build a fence around his rectangular garden of length 10 meters and width 15 meters. How many meters of
by Vincen »
Adam wants to build a fence around his rectangular garden of length...
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Last post by Vincen
Thu Jan 27, 2022 12:38 pm
Steve wants to paint one rectangular-shaped wall of his room. The cost to paint the wall is $$\1.5$$ per square meter.
by Vincen »
Steve wants to paint one rectangular-shaped wall of his room. The...
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Last post by Vincen
Thu Jan 27, 2022 12:35 pm
Bill and Jane play a simple game involving two fair dice, each of which has six sides numbered from 1 to 6
by Vincen »
Bill and Jane play a simple game involving two fair dice, each of...
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Last post by Vincen
Thu Jan 27, 2022 12:28 pm
The average salary of 15 people in the shipping department at a certain firm is $20,000. The salary of 5 of the by BTGmoderatorLU » Source: Official Guide The average salary of 15 people in the... 1 Last post by [email protected] Thu Jan 27, 2022 6:42 am During 2005, a company produced an average of 2,000 products per month. How many products will the company need to by BTGmoderatorDC » During 2005, a company produced an average of 2,000 products per... 0 Last post by BTGmoderatorDC Wed Jan 26, 2022 5:29 pm If d is the standard deviation x, y, and z, what is the standard deviation of x + 5, y + 5, z + 5 ? by BTGmoderatorDC » If d is the standard deviation x, y, and z, what is the standard... 1 Last post by [email protected] Wed Jan 26, 2022 7:28 am Al and Ben are drivers for SD Trucking Company. One snowy day, Ben left SD at 8:00 a.m. heading east and Al left SD at by AAPL » Official Guide Al and Ben are drivers for SD Trucking Company. One... 1 Last post by [email protected] Tue Jan 25, 2022 6:32 am How many diagonals does a polygon with 18 sides have if three of its vertices, which are adjacent to each other, do not by BTGmoderatorDC » How many diagonals does a polygon with 18 sides have if three of its... 0 Last post by BTGmoderatorDC Mon Jan 24, 2022 6:33 pm What is the probability of rolling three six-sided dice, and getting a different number on each die? by BTGmoderatorDC » What is the probability of rolling three six-sided dice, and getting... 1 Last post by [email protected] Mon Jan 24, 2022 7:12 am Dave’s quiz scores are 60, 90, and 80. What is the score Dave would need on his next quiz to increase his overall averag by Gmat_mission » Dave’s quiz scores are 60, 90, and 80. What is the score Dave would... 1 Last post by [email protected] Sun Jan 23, 2022 7:33 am If the crime rate in a certain region dropped by 28% last year to a rate of 500 crimes per 100,000 citizens, what was by Gmat_mission » If the crime rate in a certain region dropped by 28% last year to a... 0 Last post by Gmat_mission Sun Jan 23, 2022 1:50 am The figure above shows $$2$$ circles. The larger circle has center $$A,$$ radius $$R\, \text{cm},$$ and is inscribed in by Gmat_mission » 2019-09-21_1753.png The figure above shows $$2$$ circles. The larger... 0 Last post by Gmat_mission Sun Jan 23, 2022 1:42 am The probability that Maria will eat breakfast on any given day is 0.5. The probability that Maria will wear a sweater on by Gmat_mission » The probability that Maria will eat breakfast on any given day is... 0 Last post by Gmat_mission Sun Jan 23, 2022 1:34 am If $$a$$ and $$b$$ represent positive single digits in the correctly worked computation above, what is the value of the by Gmat_mission » $$22$$ $$a3$$ $$+4b$$ ___ $$90$$ If $$a$$ and $$b$$ represent... 0 Last post by Gmat_mission Sun Jan 23, 2022 1:30 am Three friends divided a bag of chocolates so that David received a fifth of the number of chocolates that Fouad did, and by Gmat_mission » Three friends divided a bag of chocolates so that David received a... 0 Last post by Gmat_mission Sun Jan 23, 2022 1:24 am If $$a^2b > 1$$ and $$b < 2,$$ which of the following could be the value of $$a?$$ by Gmat_mission » If $$a^2b > 1$$ and $$b < 2,$$ which of the following could be... 0 Last post by Gmat_mission Sun Jan 23, 2022 1:20 am If $$a < 0$$ and $$b < c,$$ which of the following must be true? by Gmat_mission » If $$a < 0$$ and $$b < c,$$ which of the following must be... 0 Last post by Gmat_mission Sun Jan 23, 2022 1:14 am Mary prepared $$x$$ pounds of pasta for the $$y$$ people expected to attend a banquet. If only $$z$$ of these $$y$$ peop by Gmat_mission » Mary prepared $$x$$ pounds of pasta for the $$y$$ people expected to... 0 Last post by Gmat_mission Sun Jan 23, 2022 1:11 am Right triangle DEF has a hypotenuse of less than 7. What is the maximum possible area of DEF, if the area of DEF is an by BTGmoderatorDC » Right triangle DEF has a hypotenuse of less than 7. What is the... 0 Last post by BTGmoderatorDC Fri Jan 21, 2022 9:21 pm The figure above represents a window, with the shaded regions representing the openings for the glass. If all line by BTGmoderatorLU » Source: GMAT Paper Tests Untitled (7).png The figure above... 0 Last post by BTGmoderatorLU Fri Jan 21, 2022 6:00 pm At a certain carpet factory, if carpeting of width 10 feet is moving continuously through a dryer at a constant speed by BTGmoderatorDC » At a certain carpet factory, if carpeting of width 10 feet is moving... 0 Last post by BTGmoderatorDC Thu Jan 20, 2022 6:01 pm Sid intended to type a seven-digit number, but the two 3's he meant to type did not appear. What appeared instead was by BTGmoderatorDC » Sid intended to type a seven-digit number, but the two 3's he meant... 1 Last post by [email protected] Thu Jan 20, 2022 7:04 am Highmont private school polled the graduating class of 125 for the musical genres they listen to. 88% indicated at least by AAPL » Magoosh Highmont private school polled the graduating class of 125... 0 Last post by AAPL Wed Jan 19, 2022 7:05 pm If the area of the outer square is $$4x^2$$, then the area of the inner square is by AAPL » Magoosh squareincircleinsquare_figure.PNG If the area of the outer... 0 Last post by AAPL Wed Jan 19, 2022 6:49 pm If x < y, which of the following must be true? by BTGmoderatorDC » If x < y, which of the following must be true? (A) x < y^2 (B)... 1 Last post by [email protected] Wed Jan 19, 2022 9:44 am Seven children — A, B, C, D, E, F, and G — are going to sit in seven chairs in a row. The children C & F have to sit by BTGmoderatorDC » Seven children - A, B, C, D, E, F, and G - are going to sit in seven... 0 Last post by BTGmoderatorDC Tue Jan 18, 2022 5:37 pm Mixture Problems by swerve » If a certain concrete mixture contains gravel, water, and sand in a 1... 0 Last post by swerve Mon Jan 17, 2022 4:27 pm Algebra by swerve » A survey of potential voters was conducted to determine the... 0 Last post by swerve Mon Jan 17, 2022 4:07 pm two strings have equal length. One of the strings is shaped, with no overlap, into a circle. The other string is shaped, by BTGmoderatorLU » Source: GMAT Prep Two strings have equal length. One of the strings... 3 Last post by regor60 Mon Jan 17, 2022 12:52 pm Amy deposited$1,000 into an account that earns 8% annual interest compounded every 6 months. Bob deposited $1,000... by M7MBA » Amy deposited$1,000 into an account that earns 8% annual interest...
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Last post by M7MBA
Sun Jan 16, 2022 2:02 pm
If $$c\ne -5,$$ then $$\dfrac{5ab+abc}{abc^2+10abc+25ab}$$ is equivalent to which of the following?
by M7MBA »
If $$c\ne -5,$$ then $$\dfrac{5ab+abc}{abc^2+10abc+25ab}$$ is...
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Last post by M7MBA
Sun Jan 16, 2022 12:11 pm
If $$y=(x-5)^2+(x+1)^2-6,$$ then $$y$$ is least when $$x =$$
by M7MBA »
If $$y=(x-5)^2+(x+1)^2-6,$$ then $$y$$ is least when $$x =$$ A. -2 B....
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Last post by M7MBA
Sun Jan 16, 2022 12:06 pm
At what simple annual interest rate must $$\2,500$$ be invested if it is to earn $$\225$$ in interest in one year?
by M7MBA »
At what simple annual interest rate must $$\2,500$$ be invested if...
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Last post by [email protected]
Sat Jan 15, 2022 7:56 am
Each bead in an urn is marked with a distinct positive integer and colored according to that integer’s remainder after
by M7MBA »
Each bead in an urn is marked with a distinct positive integer and...
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Last post by M7MBA
Fri Jan 14, 2022 9:22 am
At a certain school, the ratio of the number of second graders to the number of fourth-graders is 8 to 5, and the ratio
by M7MBA »
At a certain school, the ratio of the number of second graders to the...
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Last post by M7MBA
Fri Jan 14, 2022 9:19 am
A co. will select 2 of the 6 candidates available to work in 2 different positions in the Tech team and 3 of the 7
by BTGmoderatorDC »
A co. will select 2 of the 6 candidates available to work in 2...
1
Last post by swerve
Fri Jan 14, 2022 5:50 am
For a certain integer $$x,$$ the units digit of $$(x+2)^2$$ is $$9.$$ Which of the following could be the units digit of
by VJesus12 »
For a certain integer $$x,$$ the units digit of $$(x+2)^2$$ is $$9.$$...
1
Last post by swerve
Fri Jan 14, 2022 5:38 am
In Cliff’s impressive rock collection, there are half as many igneous rocks as sedimentary rocks. Of the igneous rocks,
by M7MBA »
In Cliff’s impressive rock collection, there are half as many...
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Last post by M7MBA
Thu Jan 13, 2022 12:25 pm
A certain consulting firm employs 8 men and 4 women. In March, 3 employees are selected at random to represent the compa
by M7MBA »
A certain consulting firm employs 8 men and 4 women. In March, 3...
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Last post by M7MBA
Thu Jan 13, 2022 12:22 pm
In a certain history class of 17 juniors and seniors, each junior has written 2 book reports and each senior has written
by VJesus12 »
In a certain history class of 17 juniors and seniors, each junior has...
1
Last post by [email protected]
Thu Jan 13, 2022 8:31 am
If $$x$$ is a negative integer and $$2 < x^2 < 36,$$ what is the least possible value of $$|2x + 11|?$$
by VJesus12 »
If $$x$$ is a negative integer and $$2 < x^2 < 36,$$ what is...
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Last post by VJesus12
Thu Jan 13, 2022 5:07 am
There are $$50$$ children in $$2nd$$ grade at Venn Middle School. $$40\%$$ of those kids play only soccer and $$30\%$$
by VJesus12 »
There are $$50$$ children in $$2nd$$ grade at Venn Middle School....
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Last post by VJesus12
Thu Jan 13, 2022 5:05 am
All the homes for sale in a certain community are either colonial or ranch style, and either white or blue. $$40\%$$ of
by VJesus12 »
All the homes for sale in a certain community are either colonial or...
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Last post by VJesus12
Thu Jan 13, 2022 5:02 am
A set of data consists of the terms {2, 8, 13, 15, x}. If the range of the set is 2x, which of the following could be
by BTGmoderatorDC »
A set of data consists of the terms {2, 8, 13, 15, x}. If the range...
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Last post by BTGmoderatorDC
Wed Jan 12, 2022 10:38 pm