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A bottle contains a certain solution. In the bottled solution, the ratio of water to soap is $3{:}2,$ and the ratio of

by BTGmoderatorLU » Thu Nov 06, 2025 2:14 pm

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Thu Nov 06, 2025 2:14 pm

When $10$ grams of sugar is added to $225$ grams of a brand of sweetened cornflakes, the resulting mixture is

by BTGmoderatorLU » Thu Nov 06, 2025 1:57 pm

Last post by BTGmoderatorLU
Thu Nov 06, 2025 1:57 pm

Oil revenue in the amount of $x$ million dollars, $x$ being an even number, is divided among $11$ Russian

by AAPL » Tue Nov 04, 2025 9:21 am

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Tue Nov 04, 2025 9:21 am

If the value of a certain fraction is equal to $0.4$ and the denominator of the fraction is $15,$ then the numerator

by AAPL » Tue Nov 04, 2025 8:57 am

Last post by AAPL
Tue Nov 04, 2025 8:57 am

What is the greatest prime number that is a divisor of both $380$ and $570?$

by AAPL » Tue Nov 04, 2025 8:43 am

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Tue Nov 04, 2025 8:43 am

Sequences

by swerve » Sun Nov 02, 2025 9:45 am

Last post by swerve
Sun Nov 02, 2025 9:45 am

Sequences

by swerve » Sun Nov 02, 2025 9:15 am

Last post by swerve
Sun Nov 02, 2025 9:15 am

Pipe $1$ can normally fill a tank alone in $40$ days but takes $20$ days more due to a leak. In how much time can

by BTGmoderatorLU » Sat Nov 01, 2025 2:27 pm

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Sat Nov 01, 2025 2:27 pm

Jim can assemble $b$ crates in an hour and Robert can assemble $2b$ crates in an hour. Working together at this rate

by BTGmoderatorLU » Sat Nov 01, 2025 2:01 pm

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Sat Nov 01, 2025 2:01 pm

In a Factory, three machines $A, B$ and $C,$ Working at the same time and at their respective constant rate can do

by BTGmoderatorLU » Sat Nov 01, 2025 1:40 pm

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Sat Nov 01, 2025 1:40 pm

At the beginning of a class, a classroom has $3$ empty chairs and all students are seated. No student leaves the

by AAPL » Wed Oct 29, 2025 11:55 am

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Wed Oct 29, 2025 11:55 am

A taxi company costs $\$2.75$ for the first quarter-mile and $12.5$ cents for each additional quarter mile. What is

by AAPL » Wed Oct 29, 2025 11:24 am

Last post by AAPL
Wed Oct 29, 2025 11:24 am

A computer store has fixed monthly operating costs of $5,000$ dollars. The store buys each computer for $600$

by BTGmoderatorLU » Sat Oct 11, 2025 8:28 am

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Sat Oct 11, 2025 8:28 am

Paul has $s$ fewer dollars than Jane has, and together they have a total of $t$ dollars. Which of the following

by BTGmoderatorLU » Sat Oct 11, 2025 8:08 am

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Sat Oct 11, 2025 8:08 am

It takes Paul $m$ minutes to mow the lawn. Assuming he mows at a constant rate, after Paul mows for $k$ minutes,

by AAPL » Thu Oct 09, 2025 8:40 am

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Thu Oct 09, 2025 8:40 am

Two journalists have $8$ hours in which to copy edit a total of $100$ articles. If Journalist A copy edits at a

by AAPL » Thu Oct 09, 2025 8:14 am

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Thu Oct 09, 2025 8:14 am

A gold band was purchased on sale for $\$280.$ If it was marked down $30\%,$ what was the original price?

by BTGmoderatorLU » Sun Oct 05, 2025 2:55 pm

Last post by BTGmoderatorLU
Sun Oct 05, 2025 2:55 pm

A merchant prices a television at $60$ percent above wholesale. For a President's Day sale, the merchant marks the

by BTGmoderatorLU » Sun Oct 05, 2025 2:27 pm

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Sun Oct 05, 2025 2:27 pm

Which of the following could be the units digit of $57^n,$ where $n$ is a positive integer?

by AAPL » Wed Oct 01, 2025 8:56 am

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Wed Oct 01, 2025 8:56 am

If $a$ is a positive integer, then which of the following must be true of $(a-1)(a)(a+1)?$

by AAPL » Wed Oct 01, 2025 8:42 am

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Wed Oct 01, 2025 8:42 am

In the number pyramid shown, where all numbers are positive integers, each number is the sum of the two numbers below it

by AAPL » Wed Oct 01, 2025 8:19 am

Last post by AAPL
Wed Oct 01, 2025 8:19 am

Combinations

by swerve » Mon Sep 29, 2025 6:06 pm

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Mon Sep 29, 2025 6:06 pm

Combinations

by swerve » Mon Sep 29, 2025 5:53 pm

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Mon Sep 29, 2025 5:53 pm

Combinations

by swerve » Mon Sep 29, 2025 5:27 pm

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 » Sun Sep 28, 2025 12:26 pm

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 » Sun Sep 28, 2025 12:02 pm

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 » Sun Sep 28, 2025 11:46 am

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 » Mon Sep 22, 2025 8:03 am

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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 » Mon Sep 22, 2025 7:41 am

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 » Mon Sep 01, 2025 7:01 am

Last post by AAPL
Mon Sep 01, 2025 7:01 am

Sequences

by swerve » Wed Aug 06, 2025 7:30 am

Last post by swerve
Wed Aug 06, 2025 7:30 am

Sequences

by swerve » Wed Aug 06, 2025 6:52 am

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 » Tue Aug 05, 2025 10:11 am

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 » Mon Aug 04, 2025 6:37 am

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 » Mon Aug 04, 2025 6:01 am

Last post by AAPL
Mon Aug 04, 2025 6:01 am

Work and Rate Problems

by swerve » Wed Jul 30, 2025 5:48 pm

Last post by swerve
Wed Jul 30, 2025 5:48 pm

Work and Rate Problems

by swerve » Wed Jul 30, 2025 5:23 pm

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 » Tue Jul 29, 2025 9:19 am

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 » Tue Jul 29, 2025 8:51 am

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 » Mon Jul 28, 2025 10:00 am

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 » Mon Jul 28, 2025 9:23 am

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 » Fri Jul 25, 2025 7:25 am

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 » Fri Jul 25, 2025 6:51 am

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 » Thu Jul 24, 2025 8:09 am

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 » Thu Jul 24, 2025 7:45 am

Last post by AAPL
Thu Jul 24, 2025 7:45 am

Geometry

by swerve » Wed Jul 23, 2025 1:40 pm

Last post by swerve
Wed Jul 23, 2025 1:40 pm

Geometry

by swerve » Wed Jul 23, 2025 1:19 pm

Last post by swerve
Wed Jul 23, 2025 1:19 pm

What is the units digit of $31467^{32}*97645^{23}*(32168^5+8652)^{479}?$

by BTGmoderatorLU » Sat Jul 19, 2025 12:37 pm

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 » Thu Jul 17, 2025 5:09 pm

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 » Thu Jul 17, 2025 4:50 pm

Last post by AAPL
Thu Jul 17, 2025 4:50 pm

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