## Problem Solving

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OFFICIAL GUIDE QUESTION LIBRARY
by beatthegmat »
Join the discussion as you work through your Official Guide and gain...
2
Last post by gentvenus
Wed Sep 09, 2020 12:49 pm
In the figure, circle $$O$$ has center $$O,$$ diameter $$AB$$ and a radius of $$5.$$ Line $$CD$$ is parallel to the diam
by M7MBA »
Perimeter.PNG In the figure, circle $$O$$ has center $$O,$$ diameter...
0
Last post by M7MBA
Thu Oct 29, 2020 1:16 pm
The charge for a single room at Hotel $$P$$ is $$25$$ percent less than the charge for a single room at Hotel $$R$$ and
by M7MBA »
The charge for a single room at Hotel $$P$$ is $$25$$ percent less...
0
Last post by M7MBA
Thu Oct 29, 2020 1:08 pm
If $$abc \ne 0$$ and the sum of the reciprocals of $$a, b,$$ and $$c$$ equals the reciprocal of the product of $$a, b,$$
by M7MBA »
If $$abc \ne 0$$ and the sum of the reciprocals of $$a, b,$$ and...
0
Last post by M7MBA
Thu Oct 29, 2020 1:05 pm
The sum of the digits used to write the sum 10 + 11 + 12 + 13 is 10. What is the sum of the digits used to write the sum
by M7MBA »
The sum of the digits used to write the sum 10 + 11 + 12 + 13 is 10....
0
Last post by M7MBA
Thu Oct 29, 2020 12:59 pm
Each of the digits 7, 5, 8, 9 and 4 is used only one to form a three digit integer and a two digit integer. If the sum
by M7MBA »
Each of the digits 7, 5, 8, 9 and 4 is used only one to form a three...
0
Last post by M7MBA
Thu Oct 29, 2020 12:56 pm
Envelopes can be purchased for $$\1.50$$ per pack of $$100, \1.00$$ per pack of $$50,$$ or $$\0.03$$ each. What is
by M7MBA »
Envelopes can be purchased for $$\1.50$$ per pack of $$100, \1.00$$...
0
Last post by M7MBA
Thu Oct 29, 2020 12:52 pm
Copper pipe costs $$x$$ cents per foot in $$8$$-foot lengths, and $$x + y$$ cents per foot in shorter lengths. What is
by M7MBA »
Copper pipe costs $$x$$ cents per foot in $$8$$-foot lengths, and $$x... 0 Last post by M7MBA Thu Oct 29, 2020 12:46 pm If \(r$$ and $$s$$ are positive integers such that $$(2^r)(4^s) = 16,$$ then $$2r + s =$$
by M7MBA »
If $$r$$ and $$s$$ are positive integers such that $$(2^r)(4^s) =... 0 Last post by M7MBA Thu Oct 29, 2020 12:44 pm Rob and David live 200 miles apart. Deciding to have a picnic, they both start driving at 9:00 a.m., traveling in a by M7MBA » Rob and David live 200 miles apart. Deciding to have a picnic, they... 0 Last post by M7MBA Thu Oct 29, 2020 12:42 pm Romi has a collection of 10 distinct books (8 small and 2 large). In how many ways can he select 5 books to take with by M7MBA » Romi has a collection of 10 distinct books (8 small and 2 large). In... 0 Last post by M7MBA Thu Oct 29, 2020 12:39 pm A bookstore stocks 1/5 of its books as fiction works, and 1/3 less than the fiction books as self-help books. What fract by M7MBA » A bookstore stocks 1/5 of its books as fiction works, and 1/3 less... 0 Last post by M7MBA Thu Oct 29, 2020 12:37 pm A box contains 6 black balls and 4 white balls. If two balls are selected at random without replacement, what is the pro by M7MBA » A box contains 6 black balls and 4 white balls. If two balls are... 0 Last post by M7MBA Thu Oct 29, 2020 12:35 pm If \(n$$ is an integer greater than $$50,$$ then the expression $$(n^2-2n)(n^2-1)$$ MUST be divisible by which of the
by M7MBA »
If $$n$$ is an integer greater than $$50,$$ then the expression...
0
Last post by M7MBA
Thu Oct 29, 2020 12:33 pm
A total of $$30$$ percent of the geese included in a certain migration study were male. If some of the geese migrated
by M7MBA »
A total of $$30$$ percent of the geese included in a certain...
0
Last post by M7MBA
Thu Oct 29, 2020 12:31 pm
An exam consists of $$8$$ true/false questions. Brian forgets to study, so he must guess blindly on each question. If
by M7MBA »
An exam consists of $$8$$ true/false questions. Brian forgets to...
0
Last post by M7MBA
Thu Oct 29, 2020 12:28 pm
$$n$$ is a positive integer, and $$k$$ is the product of all integers from $$1$$ to $$n$$ inclusive. If $$k$$ is a multi
by M7MBA »
$$n$$ is a positive integer, and $$k$$ is the product of all integers...
0
Last post by M7MBA
Thu Oct 29, 2020 12:24 pm
Last year a certain bond with a face value of $$\5,000$$ yielded $$8$$ percent of its face value in interest. If that
by M7MBA »
Last year a certain bond with a face value of $$\5,000$$ yielded...
0
Last post by M7MBA
Thu Oct 29, 2020 12:22 pm
List $$G$$ consists of $$15$$ consecutive integers. If the greatest integer in List $$G$$ is $$7,$$ what is the sum of a
by M7MBA »
List $$G$$ consists of $$15$$ consecutive integers. If the greatest...
0
Last post by M7MBA
Thu Oct 29, 2020 12:19 pm
$$12 + 13 + 14 + \ldots + 51 + 52 + 53 = ?$$
by M7MBA »
$$12 + 13 + 14 + \ldots + 51 + 52 + 53 = ?$$ A. 1361 B. 1362 C. 1363...
0
Last post by M7MBA
Thu Oct 29, 2020 12:06 pm
What is the sum of the list of consecutive odd numbers between 24 and 40?
by M7MBA »
What is the sum of the list of consecutive odd numbers between 24 and...
0
Last post by M7MBA
Thu Oct 29, 2020 12:02 pm
A bar over a sequence of digits in a decimal indicates that the sequence repeats indefinitely. What is the value of
by M7MBA »
A bar over a sequence of digits in a decimal indicates that the...
0
Last post by M7MBA
Thu Oct 29, 2020 11:59 am
A company sells radios for $$\15.00$$ each. It costs the company $$\14.00$$ per radio to produce $$1,000$$ radios and
by M7MBA »
A company sells radios for $$\15.00$$ each. It costs the company...
0
Last post by M7MBA
Thu Oct 29, 2020 11:53 am
What is the maximum possible length of an integer less than 600?
by VJesus12 »
What is the maximum possible length of an integer less than 600? (the...
0
Last post by VJesus12
Thu Oct 29, 2020 11:50 am
If $$f(x+1)=f(x)+1$$ for all values of $$x,$$ and $$f(7)=3,$$ what is the value of $$f(3)?$$
by VJesus12 »
If $$f(x+1)=f(x)+1$$ for all values of $$x,$$ and $$f(7)=3,$$ what is...
0
Last post by VJesus12
Thu Oct 29, 2020 11:47 am
For every integer $$n \ge 3,$$ the function $$g(n)$$ is defined as the product of all the odd integers from $$1$$ to
by VJesus12 »
For every integer $$n \ge 3,$$ the function $$g(n)$$ is defined as...
0
Last post by VJesus12
Thu Oct 29, 2020 11:45 am
Given $$f(x) = 3x - 5,$$ for what value of $$x$$ does $$2\cdot f(x) - 1 = f(3x - 6).$$
by VJesus12 »
Given $$f(x) = 3x - 5,$$ for what value of $$x$$ does $$2\cdot f(x) -... 0 Last post by VJesus12 Thu Oct 29, 2020 11:39 am If stock is sold three months after it is purchased, the formula above relates \(P, D, S,$$ and $$r,$$ where $$P$$ is
by VJesus12 »
$$r=400\left(\dfrac{D+S-P}{P}\right)$$ If stock is sold three months...
0
Last post by VJesus12
Thu Oct 29, 2020 11:35 am
A dealer once sold identical cars at a piece of $$x$$ dollars each (including sales tax). However, the pre-tax price was
by VJesus12 »
A dealer once sold identical cars at a piece of $$x$$ dollars each...
0
Last post by VJesus12
Thu Oct 29, 2020 11:30 am
The value of the variable $$E$$ is determined by adding the reciprocals of the first $$10$$ even natural numbers. Which
by VJesus12 »
The value of the variable $$E$$ is determined by adding the...
0
Last post by VJesus12
Thu Oct 29, 2020 11:25 am
What is the remainder when $$43^{86}$$ is divided by $$5?$$
by VJesus12 »
What is the remainder when $$43^{86}$$ is divided by $$5?$$ A. 0 B. 1...
0
Last post by VJesus12
Thu Oct 29, 2020 11:22 am
In the figure below, $$\angle ADE = 60^{\circ}, \angle EFC = 40^{\circ},$$ and $$\angle DAE = 55^{\circ}.$$ If
by VJesus12 »
originals (1).jpg In the figure below, $$\angle ADE = 60^{\circ},... 0 Last post by VJesus12 Thu Oct 29, 2020 11:19 am If \((x - 1)^2 = 400,$$ which of the following could be the value of $$x - 5?$$
by VJesus12 »
If $$(x - 1)^2 = 400,$$ which of the following could be the value of...
0
Last post by VJesus12
Thu Oct 29, 2020 11:15 am
A line that passes through the point $$(2,5)$$ has a slope of $$-\dfrac23.$$ Which of the following points is not on the
by VJesus12 »
A line that passes through the point $$(2,5)$$ has a slope of...
0
Last post by VJesus12
Thu Oct 29, 2020 11:12 am
At a certain school, the ratio of the number of second graders to the number of fourth graders is 8 to 5, and the ratio
by VJesus12 »
At a certain school, the ratio of the number of second graders to the...
0
Last post by VJesus12
Thu Oct 29, 2020 10:54 am
Narcisse and Aristide have numbers of arcade tokens in the ratio $$7 : 3,$$ respectively. Narcisse gives Aristide some
by VJesus12 »
Narcisse and Aristide have numbers of arcade tokens in the ratio $$7... 0 Last post by VJesus12 Thu Oct 29, 2020 10:51 am For every positive integer \(p, f(p)$$ represents the product of first $$p$$ positive multiples of $$3.$$ How many prime
by Vincen »
For every positive integer $$p, f(p)$$ represents the product of...
0
Last post by Vincen
Thu Oct 29, 2020 10:43 am
Which of the following can be the ratio of sides of a triangle?
by Vincen »
Which of the following can be the ratio of sides of a triangle? I....
0
Last post by Vincen
Thu Oct 29, 2020 10:40 am
What is the sum of all possible solutions of the equation $$|x + 4|^2 - 10|x + 4| = 24?$$
by Vincen »
What is the sum of all possible solutions of the equation $$|x + 4|^2... 0 Last post by Vincen Thu Oct 29, 2020 10:36 am If the circle with center \(O$$ has area $$9\pi,$$ what is area of equilateral triangle $$ABC?$$
by Vincen »
trianglewithcircle_figure.PNG If the circle with center $$O$$ has...
0
Last post by Vincen
Thu Oct 29, 2020 10:34 am
John is a trail runner who decides to take a day off work to run up and down a local mountain. He runs uphill...
by BTGmoderatorLU »
Source: Veritas Prep John is a trail runner who decides to take a...
0
Last post by BTGmoderatorLU
Thu Oct 29, 2020 6:57 am
The surface area of a cube is A square meters and the volume of that cube is V cubic meters. If A=2V...
by BTGmoderatorLU »
Source: Veritas Prep The surface area of a cube is A square meters...
0
Last post by BTGmoderatorLU
Thu Oct 29, 2020 6:46 am
pert and cpm
by marceltr »
What is the main difference between PERT and CPM?
0
Last post by marceltr
Thu Oct 29, 2020 3:34 am
Jane has to paint a cylindrical column that is 14 feet high and that has a circular base with a radius of 3 feet. If one
by BTGmoderatorDC »
Jane has to paint a cylindrical column that is 14 feet high and that...
0
Last post by BTGmoderatorDC
Wed Oct 28, 2020 4:55 pm
Fractions/Ratios/Decimals
by swerve »
Which of the following ratios is most nearly equal to the ratio...
0
Last post by swerve
Wed Oct 28, 2020 11:50 am
Word problems
by swerve »
A certain fishing boat is chartered by 6 people who are to contribute...
0
Last post by swerve
Wed Oct 28, 2020 11:33 am
$$A, B$$ and $$C$$ are three distinct single-digit positive numbers. If the units digit of $$A^2, B^2$$ and $$C^2$$ are
by Vincen »
$$A, B$$ and $$C$$ are three distinct single-digit positive numbers....
0
Last post by Vincen
Wed Oct 28, 2020 8:52 am
A number, when divided by $$3,$$ gives a remainder of $$1.$$ How many distinct values can the remainder take when the
by Vincen »
A number, when divided by $$3,$$ gives a remainder of $$1.$$ How many...
0
Last post by Vincen
Wed Oct 28, 2020 8:48 am
For the numbers on the number line above, which of the following statements is true?
by Vincen »
Number Line.png For the numbers on the number line above, which of...
0
Last post by Vincen
Wed Oct 28, 2020 8:45 am
In a Factory, three machines $$A, B$$ and $$C,$$ Working at the same time and at their respective constant rate can do
by Vincen »
In a Factory, three machines $$A, B$$ and $$C,$$ Working at the same...
0
Last post by Vincen
Wed Oct 28, 2020 8:40 am
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