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Distance and Speed Problems
by swerve »
Two trucks are parked at Charissa's Diner. Ryan leaves the diner, at...
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Last post by swerve
Fri Feb 27, 2026 5:18 pm
How many even \(4\)-digits numbers can be formed with the digits \(3, 4, 7, 8\) if no digit is to be repeated?
by BTGmoderatorLU »
How many even \(4\)-digits numbers can be formed with the digits \(3,...
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Last post by BTGmoderatorLU
Fri Feb 27, 2026 9:38 am
\(9\) people are standing in a circle. What is the probability that two particular persons are side by side?
by BTGmoderatorLU »
\(9\) people are standing in a circle. What is the probability that...
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Last post by BTGmoderatorLU
Fri Feb 27, 2026 9:12 am
The circle above has \(10\) points on its edge. How many different quadrilaterals can be drawn that use four of these
by AAPL »
image009.gif The circle above has \(10\) points on its edge. How...
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Last post by AAPL
Wed Feb 25, 2026 12:14 pm
Fractions and Ratios
by swerve »
A luxury car dealership sells only Ferraris and Lamborghinis. If the...
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Last post by swerve
Tue Feb 24, 2026 2:43 pm
Fractions and Ratios
by swerve »
\(A, B\) and \(C\) rent a pasture. A puts \(10\) oxen for \(7\)...
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Last post by swerve
Tue Feb 24, 2026 2:17 pm
Two trucks are parked at Lucy's Diner. Chuck takes off, at \(50\) miles per hour, heading due east at \(9\) a.m. in one
by BTGmoderatorLU »
Two trucks are parked at Lucy's Diner. Chuck takes off, at \(50\)...
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Last post by BTGmoderatorLU
Fri Feb 20, 2026 7:20 am
If the remainder is \(27\) when an integer is divided by \(36,\) then the integer must be a multiple of which of the
by AAPL »
If the remainder is \(27\) when an integer is divided by \(36,\) then...
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Last post by AAPL
Thu Feb 19, 2026 3:09 pm
A machine manufactures notebooks in a series of five colors: red, blue, black, white, and yellow. After producing a
by AAPL »
A machine manufactures notebooks in a series of five colors: red,...
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Last post by AAPL
Thu Feb 19, 2026 2:41 pm
Absolute Values
by swerve »
If \(a\) and \(b\) are each greater than \(x\) and \(y,\) which of...
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Last post by swerve
Wed Feb 18, 2026 9:31 am
Absolute Values
by swerve »
How many real numbers \(x\) satisfy \(||x-3|-4|=4?\) A. \(1\) B....
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Last post by swerve
Wed Feb 18, 2026 8:52 am
It takes Jim \(N\) minutes to prepare one omelet. It takes Cole \(N/2\) minutes to prepare one omelet. It takes Mitch
by BTGmoderatorLU »
It takes Jim \(N\) minutes to prepare one omelet. It takes Cole...
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Last post by BTGmoderatorLU
Tue Feb 17, 2026 5:50 pm
When Mary paints a house, it takes her \(4\) hours. When Lisa joins Mary, and they work together, it takes them only
by BTGmoderatorLU »
When Mary paints a house, it takes her \(4\) hours. When Lisa joins...
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Last post by BTGmoderatorLU
Tue Feb 17, 2026 5:20 pm
During a certain week, a post office sold \(\$280\) worth of \(14\)-cent stamps. How many of these stamps did they sell?
by BTGmoderatorLU »
During a certain week, a post office sold \(\$280\) worth of...
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Last post by BTGmoderatorLU
Mon Feb 16, 2026 3:28 pm
An \(\$800\) bill is to be split equally among \(10\) friends. If \(x\) of the friends do not pay their share and the
by BTGmoderatorLU »
An \(\$800\) bill is to be split equally among \(10\) friends. If...
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Last post by BTGmoderatorLU
Mon Feb 16, 2026 3:05 pm
A line segment \(AB\, [A (-6, 11)\) and \(B (3, -4)]\) has a point \(C\) on it, which is thrice as far from \(A\) than
by AAPL »
A line segment \(AB\, \) has a point \(C\) on it, which is thrice as...
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Last post by AAPL
Sat Feb 14, 2026 6:59 am
In the figure above, the area of the triangle \(AOB\) is \(30\) and the \(y\)-intercept of line \(l\) is \(5,\) what is
by AAPL »
1 (2).png In the figure above, the area of the triangle \(AOB\) is...
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Last post by AAPL
Sat Feb 14, 2026 6:38 am
Geometry
by swerve »
The diameter of circle \(S\) is equal in length to a side of a...
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Last post by swerve
Fri Feb 13, 2026 7:29 am
Geometry
by swerve »
Emily and Tammi must both run from point \(A\) to reach the finish...
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Last post by swerve
Fri Feb 13, 2026 6:53 am
The number of six digit numbers that can be formed from the digits \(1, 2, 3, 4, 5, 6, \& 7\) so that digits do not
by BTGmoderatorLU »
The number of six digit numbers that can be formed from the digits...
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Last post by BTGmoderatorLU
Thu Feb 12, 2026 5:00 pm
A special language is invented with \(12\) consonants and five vowels. All words in the language contain exactly four
by BTGmoderatorLU »
A special language is invented with \(12\) consonants and five...
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Last post by BTGmoderatorLU
Thu Feb 12, 2026 4:34 pm
What is the largest integer \(N\) such that \(8\) less than \(5\) times \(N\) is less than \(43?\)
by AAPL »
What is the largest integer \(N\) such that \(8\) less than \(5\)...
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Last post by AAPL
Wed Feb 11, 2026 7:26 am
\(r\) and \(n\) are integers such that \(r \geq 4\) and \(n \geq 4.\) If \((r-3)(n-3) < 5,\) what is the greatest
by AAPL »
\(r\) and \(n\) are integers such that \(r \geq 4\) and \(n \geq 4.\)...
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Last post by AAPL
Wed Feb 11, 2026 6:56 am
Remainders
by swerve »
A can be divided by \(11\) with no remainder. Which of the following...
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Last post by swerve
Sun Feb 08, 2026 11:17 am
Remainders
by swerve »
If the remainder is \(5\) when \(x\) is divided by \(12,\) and the...
0
Last post by swerve
Sun Feb 08, 2026 10:42 am
A railroad worker finds himself trapped inside a tunnel at a point that is \(25\%\) of the length of the tunnel with a
by BTGmoderatorLU »
A railroad worker finds himself trapped inside a tunnel at a point...
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Last post by BTGmoderatorLU
Sat Feb 07, 2026 5:16 pm
Shelly rows \(4m\) kilometers downstream at \(6x\) kilometers per hour. Then she turns around and rows \(m/6\)
by BTGmoderatorLU »
Shelly rows \(4m\) kilometers downstream at \(6x\) kilometers per...
0
Last post by BTGmoderatorLU
Sat Feb 07, 2026 4:41 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
Sat Feb 07, 2026 8:35 am
Which of the following numbers is greater than three fourths of the numbers but less than one fourth of the numbers in
by AAPL »
\(38\, 69\, 22\, 73\, 31\, 47\, 13\, 82\) Which of the following...
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Last post by AAPL
Sat Feb 07, 2026 8:18 am
Coordinate Geometry
by swerve »
Which of the following could be the equation of a line parallel to...
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Last post by swerve
Tue Feb 03, 2026 7:37 am
Neel and Jacob start from opposite ends of a \(28\)-mile trail and begin hiking toward each other at the same time. If
by BTGmoderatorLU »
Neel and Jacob start from opposite ends of a \(28\)-mile trail and...
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Last post by BTGmoderatorLU
Sat Jan 31, 2026 4:18 pm
Jemma takes \(2\) hours to swim the \(4\) miles from buoy \(A\) to buoy \(B.\) Tired from her swim, she then continues
by BTGmoderatorLU »
Jemma takes \(2\) hours to swim the \(4\) miles from buoy \(A\) to...
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Last post by BTGmoderatorLU
Sat Jan 31, 2026 3:47 pm
The integer a is greater than \(1\) and is [u]not[/u] equal to the square of an integer. Which of the following answer
by AAPL »
The integer a is greater than \(1\) and is not equal to the square of...
0
Last post by AAPL
Fri Jan 30, 2026 11:23 am
What is the smallest possible common multiple of three distinct integers, all larger than \(26?\)
by AAPL »
What is the smallest possible common multiple of three distinct...
0
Last post by AAPL
Fri Jan 30, 2026 10:47 am
Algebra
by swerve »
The total cost of \(8\) bagels at a bakery is \(x\) dollars. At this...
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Last post by swerve
Thu Jan 29, 2026 5:30 pm
Algebra
by swerve »
points.jpg In the figure above, the product of any two numbers in...
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Last post by swerve
Thu Jan 29, 2026 5:00 pm
The product of the \(\square\)five smallest two-digit prime numbers is closest to which of the following power of
by BTGmoderatorLU »
The product of the \(\square\)five smallest two-digit prime numbers...
0
Last post by BTGmoderatorLU
Wed Jan 28, 2026 8:27 am
What is the difference between the number of integers from \(50-60,\) inclusive, and the sum of the integers from
by BTGmoderatorLU »
What is the difference between the number of integers from \(50-60,\)...
0
Last post by BTGmoderatorLU
Wed Jan 28, 2026 8:06 am
Four numbers are placed in the number circle above so that one number is equal to the sum of the other three. Which of
by BTGmoderatorLU »
1 (1).png Four numbers are placed in the number circle above so that...
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Last post by BTGmoderatorLU
Wed Jan 28, 2026 7:43 am
What is the percent profit an ice cream seller makes on vanilla ice cream if vanilla ice cream costs him \(90\) cents
by AAPL »
What is the percent profit an ice cream seller makes on vanilla ice...
0
Last post by AAPL
Tue Jan 27, 2026 11:27 am
Barbara invests \(\$2,400\) in the National Bank at \(5\%.\) How much additional money must she invest at \(8\%\) so
by AAPL »
Barbara invests \(\$2,400\) in the National Bank at \(5\%.\) How much...
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Last post by AAPL
Tue Jan 27, 2026 11:06 am
An instructor scored a student's test of 50 questions by
by AAPL »
An instructor scored a student's test of 50 questions by...
6
EXPERT REPLIES
Last post by James Lord
Mon Jan 26, 2026 12:58 am
Three Generations of the Wen family are going to the movies, two from each generation. The two members of the youngest
by BTGmoderatorLU »
Three Generations of the Wen family are going to the movies, two from...
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Last post by BTGmoderatorLU
Sun Jan 25, 2026 10:55 am
In one can of mixed nuts, \(30\%\) is peanuts. In another can of mixed nuts that is one-half the size of the first one,
by AAPL »
In one can of mixed nuts, \(30\%\) is peanuts. In another can of...
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Last post by AAPL
Sat Jan 24, 2026 4:49 pm
Word Problems
by swerve »
An Internet café offers Internet access at the rates of \(\$3\) per...
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Last post by swerve
Sun Jan 18, 2026 10:44 am
Word Problems
by swerve »
A salon spa loyalty program magazine charges a \(\$250\) program fee....
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Last post by swerve
Sun Jan 18, 2026 10:12 am
Two marbles are drawn in succession from a box containing \(10\) red, \(30\) white, \(20\) blue, and \(15\) orange
by BTGmoderatorLU »
Two marbles are drawn in succession from a box containing \(10\) red,...
0
Last post by BTGmoderatorLU
Thu Jan 15, 2026 10:54 am
Four letters are taken at random from the word AUSTRALIA without replacement. What is the probability to have two vowels
by BTGmoderatorLU »
Four letters are taken at random from the word AUSTRALIA without...
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Last post by BTGmoderatorLU
Thu Jan 15, 2026 10:34 am
What is the probability of getting head and tail alternately in \(3\) successive trials of a fair coin?
by BTGmoderatorLU »
What is the probability of getting head and tail alternately in \(3\)...
0
Last post by BTGmoderatorLU
Thu Jan 15, 2026 10:04 am
If a runner in a marathon had the \(37\text{th}\) fastest time and the \(50\text{th}\) slowest time, how many runners
by AAPL »
If a runner in a marathon had the \(37\text{th}\) fastest time and...
0
Last post by AAPL
Tue Jan 13, 2026 4:43 pm