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Combinations
by swerve »
A jazz ensemble is holding auditions for new musicians. \(11\) total...
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Last post by swerve
Mon Sep 29, 2025 5:27 pm
The triangular portion of the rectangular lot shown above represents a flower bed. If the area of the bed is \(24\)
by BTGmoderatorLU »
2017-10-04_1126.png The triangular portion of the rectangular lot...
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Last post by BTGmoderatorLU
Sun Sep 28, 2025 12:26 pm
Which of the following sets of values for \(w, x, y,\) and \(z,\) respectively, are possible if \(ABCD\) is a
by BTGmoderatorLU »
2017-10-16_1235.png Which of the following sets of values for \(w,...
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Last post by BTGmoderatorLU
Sun Sep 28, 2025 12:02 pm
If a rectangle with length \(8\) and width \(x\) has the same perimeter as a square with side of length \(6,\) what is
by BTGmoderatorLU »
If a rectangle with length \(8\) and width \(x\) has the same...
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Last post by BTGmoderatorLU
Sun Sep 28, 2025 11:46 am
What is the ratio of \(2\) feet \(3\) inches to \(2\) yards? (\(1\) yard \(=3\) feet)
by AAPL »
What is the ratio of \(2\) feet \(3\) inches to \(2\) yards? (\(1\)...
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Last post by AAPL
Mon Sep 22, 2025 8:03 am
Global GDP (Gross Domestic Product) was \(\$69.97\) trillion in \(2011\). If the world population for \(2011\) was best
by AAPL »
Global GDP (Gross Domestic Product) was \(\$69.97\) trillion in...
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Last post by AAPL
Mon Sep 22, 2025 7:41 am
In a set of three numbers, the difference between the largest and the second largest numbers is added to the smallest
by AAPL »
In a set of three numbers, the difference between the largest and the...
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Last post by AAPL
Mon Sep 01, 2025 7:01 am
Sequences
by swerve »
The mean of an ascending sequence of positive consecutive two-digit...
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Last post by swerve
Wed Aug 06, 2025 7:30 am
Sequences
by swerve »
The measures of the interior angles of a convex polygon of \(n\)...
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Last post by swerve
Wed Aug 06, 2025 6:52 am
There are \(64\) big cube-shaped bricks painted with yellow. How many small bricks are required to cover the entire
by BTGmoderatorLU »
There are \(64\) big cube-shaped bricks painted with yellow. How many...
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Last post by BTGmoderatorLU
Tue Aug 05, 2025 10:11 am
Alicia earns \(20\) dollars per hour, of which \(1.45\%\) is deducted to pay local taxes. How many cents per hour of
by AAPL »
Alicia earns \(20\) dollars per hour, of which \(1.45\%\) is deducted...
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Last post by AAPL
Mon Aug 04, 2025 6:37 am
Last summer \(30\%\) of the birds living on Town Lake were geese, \(25\%\) were swans, \(10\%\) were herons, and
by AAPL »
Last summer \(30\%\) of the birds living on Town Lake were geese,...
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Last post by AAPL
Mon Aug 04, 2025 6:01 am
Work and Rate Problems
by swerve »
A certain number of persons can dig a trench \(100\,\text{m}\) long,...
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Last post by swerve
Wed Jul 30, 2025 5:48 pm
Work and Rate Problems
by swerve »
Some persons can do a piece of work in \(12\) days. Two times the...
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Last post by swerve
Wed Jul 30, 2025 5:23 pm
In college \(X, 40\) percent of the women and \(20\) percent of the men are taking courses in mathematics. If \(55\)
by BTGmoderatorLU »
In college \(X, 40\) percent of the women and \(20\) percent of the...
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Last post by BTGmoderatorLU
Tue Jul 29, 2025 9:19 am
In the Biotechnology class of \(2000,\) there were \(X\) graduates. \(32\) of the graduates found a job, \(45\)
by BTGmoderatorLU »
In the Biotechnology class of \(2000,\) there were \(X\) graduates....
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Last post by BTGmoderatorLU
Tue Jul 29, 2025 8:51 am
Two identical circles intersect such that their centres and the points at which they intersect form a square of side
by AAPL »
Two identical circles intersect such that their centres and the...
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Last post by AAPL
Mon Jul 28, 2025 10:00 am
Three hoses work to fill a tub at at different rate. Hose \(A\) and \(B,\) working together, can fill the tub in \(6/5\)
by AAPL »
Three hoses work to fill a tub at at different rate. Hose \(A\) and...
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Last post by AAPL
Mon Jul 28, 2025 9:23 am
A factory producing machine parts calculated that on average about \(10\%\) of the manufactured parts are defective and
by BTGmoderatorLU »
A factory producing machine parts calculated that on average about...
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Last post by BTGmoderatorLU
Fri Jul 25, 2025 7:25 am
The ratio of the marks obtained by Ted and Barney in their exams is \(5{:}7.\) If five times the marks obtained by Ted
by BTGmoderatorLU »
The ratio of the marks obtained by Ted and Barney in their exams is...
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Last post by BTGmoderatorLU
Fri Jul 25, 2025 6:51 am
Which of the following fractions is equal to the repeating decimal \(0.3636...?\)
by AAPL »
Which of the following fractions is equal to the repeating decimal...
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Last post by AAPL
Thu Jul 24, 2025 8:09 am
In a newly constructed city, plots were rectangular in shape with a length being \(2\) units more than the breadth. If
by AAPL »
In a newly constructed city, plots were rectangular in shape with a...
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Last post by AAPL
Thu Jul 24, 2025 7:45 am
Geometry
by swerve »
2017-10-04_1124.png If the width of the rectangle above is increased...
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Last post by swerve
Wed Jul 23, 2025 1:40 pm
Geometry
by swerve »
geometry.gif In the figure above, a circle is inscribed in a right...
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Last post by swerve
Wed Jul 23, 2025 1:19 pm
0
Last post by BTGmoderatorLU
Sat Jul 19, 2025 12:37 pm
The sum of the two \(5\)-digit numbers \(AMC10\) and \(AMC12\) is \(123422.\) What is \(A+M+C?\)
by AAPL »
The sum of the two \(5\)-digit numbers \(AMC10\) and \(AMC12\) is...
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Last post by AAPL
Thu Jul 17, 2025 5:09 pm
If one of the following is the product of two \(3\)-digit integers \(8K7\) and \(6L9\) (\(K\) and \(L\) denote the tens
by AAPL »
If one of the following is the product of two \(3\)-digit integers...
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Last post by AAPL
Thu Jul 17, 2025 4:50 pm
On a map, \(1/3\) inch equals \(15\) miles. The distance between two towns on a map is \(3\frac{2}{3}\) inches. How many
by AAPL »
On a map, \(1/3\) inch equals \(15\) miles. The distance between two...
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Last post by AAPL
Thu Jul 17, 2025 4:28 pm
Multiples and Factors
by swerve »
If \(x\) and \(y\) are two positive integers and their least common...
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Last post by swerve
Sat Jul 12, 2025 7:23 am
Multiples and Factors, Word Problems
by swerve »
On a weekend, \(6\) college friends went skiing and evenly split the...
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Last post by swerve
Sat Jul 12, 2025 6:54 am
Which of the following is equivalent to the expression \(\dfrac{(ab)^3 c^0}{a^3 b^4},\) where \(abc \neq 0?\)
by BTGmoderatorLU »
Which of the following is equivalent to the expression...
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Last post by BTGmoderatorLU
Thu Jul 10, 2025 3:29 pm
If \(n\) is an integer, and \(0.00876*10^n\) is greater than \(1000,\) what is the least possible value of \(n?\)
by BTGmoderatorLU »
If \(n\) is an integer, and \(0.00876*10^n\) is greater than...
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Last post by BTGmoderatorLU
Thu Jul 10, 2025 3:14 pm
If \(Q\) is a point to the right of zero on the number line above and the distance between \(P\) and \(Q\) is \(11,\)
by AAPL »
1.jpg If \(Q\) is a point to the right of zero on the number line...
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Last post by AAPL
Tue Jul 08, 2025 11:20 am
If the average (arithmetic mean) of three consecutive integers is \(2\) more than the average of \(18, 27,\) and \(30,\)
by AAPL »
If the average (arithmetic mean) of three consecutive ìntegers is...
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Last post by AAPL
Tue Jul 08, 2025 11:01 am
Remainders
by swerve »
When \(a\) is divided by \(b\) the remainder is \(13.\) When \(c\) is...
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Last post by swerve
Wed Jul 02, 2025 9:22 am
Remainders
by swerve »
When positive integer \(a\) is divided by \(7,\) the remainder is...
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Last post by swerve
Wed Jul 02, 2025 8:48 am
In a shipment of \(20\) computers, \(3\) are defective. Three computers are randomly selected and tested. What is the
by BTGmoderatorLU »
In a shipment of \(20\) computers, \(3\) are defective. Three...
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Last post by BTGmoderatorLU
Tue Jul 01, 2025 8:56 am
A certain signal flashes yellow for \(15\) seconds each minute, orange for \(20\) seconds each minute, and blue for
by BTGmoderatorLU »
A certain signal flashes yellow for \(15\) seconds each minute,...
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Last post by BTGmoderatorLU
Tue Jul 01, 2025 8:26 am
A composer’s guild is planning its spring concert, and ten pieces have been submitted for consideration. The director of
by AAPL »
A composer’s guild is planning its spring concert, and ten pieces...
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Last post by AAPL
Mon Jun 30, 2025 8:33 am
How many positive integers consisting of five different digits can be made from digits \(1, 2, 3, 4, 5, 6, 7, 8,\) and
by AAPL »
How many positive integers consisting of five different digits can be...
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Last post by AAPL
Mon Jun 30, 2025 8:16 am
In how many ways can you make a five letter password using the first ten letters of the English alphabet if each letter
by AAPL »
In how many ways can you make a five letter password using the first...
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Last post by AAPL
Mon Jun 30, 2025 8:01 am
Word Problems
by swerve »
Leah wants to shrink her photos to fit a computer screen. Her photos...
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Last post by swerve
Thu Jun 26, 2025 5:26 pm
Word Problems
by swerve »
Aquarium A holds \(150\) gallons more sea water than does Aquarium B,...
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Last post by swerve
Thu Jun 26, 2025 5:02 pm
In the figure below, what is the length of the perimeter of triangle \(OPQ?\)
by BTGmoderatorLU »
In the figure below, what is the length of the perimeter of triangle...
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Last post by BTGmoderatorLU
Thu Jun 26, 2025 8:34 am
A line can be expressed in the slope-intercept form \(y = mx + b,\) where m and b are constants. What is the slope
by BTGmoderatorLU »
A line can be expressed in the slope-intercept form \(y = mx + b,\)...
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Last post by BTGmoderatorLU
Thu Jun 26, 2025 8:13 am
Three friends ate \(14\) slices of pizza. If two of the friends ate the same number of slices, and the third ate two
by AAPL »
Three friends ate \(14\) slices of pizza. If two of the friends ate...
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Last post by AAPL
Tue Jun 24, 2025 2:48 pm
In a certain ancient kingdom, the standard unit of measure was the "crown," equal to \(10\) standard modern inches. An
by AAPL »
In a certain ancient kingdom, the standard unit of measure was the...
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Last post by AAPL
Tue Jun 24, 2025 2:24 pm
Probability
by swerve »
In the barui family there are \(2\) more girls than boys. At random...
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Last post by swerve
Sun Jun 22, 2025 9:28 am
A bus route has \(20\) different stops. A traveller wishes to travel from every stop to every other stop. How many
by BTGmoderatorLU »
A bus route has \(20\) different stops. A traveller wishes to travel...
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Last post by BTGmoderatorLU
Thu Jun 19, 2025 5:32 pm
From a group of three boys and four girls, a school hallway monitor group is to be selected. If the group is to be
by BTGmoderatorLU »
From a group of three boys and four girls, a school hallway monitor...
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Last post by BTGmoderatorLU
Thu Jun 19, 2025 5:05 pm