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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

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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

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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

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 » Thu Jul 17, 2025 4:28 pm

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Thu Jul 17, 2025 4:28 pm

Multiples and Factors

by swerve » Sat Jul 12, 2025 7:23 am

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Sat Jul 12, 2025 7:23 am

Multiples and Factors, Word Problems

by swerve » Sat Jul 12, 2025 6:54 am

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 » Thu Jul 10, 2025 3:29 pm

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 » Thu Jul 10, 2025 3:14 pm

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 » Tue Jul 08, 2025 11:20 am

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 » Tue Jul 08, 2025 11:01 am

Last post by AAPL
Tue Jul 08, 2025 11:01 am

Remainders

by swerve » Wed Jul 02, 2025 9:22 am

Last post by swerve
Wed Jul 02, 2025 9:22 am

Remainders

by swerve » Wed Jul 02, 2025 8:48 am

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 » Tue Jul 01, 2025 8:56 am

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 » Tue Jul 01, 2025 8:26 am

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 » Mon Jun 30, 2025 8:33 am

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 » Mon Jun 30, 2025 8:16 am

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 » Mon Jun 30, 2025 8:01 am

Last post by AAPL
Mon Jun 30, 2025 8:01 am

Word Problems

by swerve » Thu Jun 26, 2025 5:26 pm

Last post by swerve
Thu Jun 26, 2025 5:26 pm

Word Problems

by swerve » Thu Jun 26, 2025 5:02 pm

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 » Thu Jun 26, 2025 8:34 am

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 » Thu Jun 26, 2025 8:13 am

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 » Tue Jun 24, 2025 2:48 pm

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 » Tue Jun 24, 2025 2:24 pm

Last post by AAPL
Tue Jun 24, 2025 2:24 pm

Probability

by swerve » Sun Jun 22, 2025 9:28 am

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 » Thu Jun 19, 2025 5:32 pm

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 » Thu Jun 19, 2025 5:05 pm

Last post by BTGmoderatorLU
Thu Jun 19, 2025 5:05 pm

The circumference of a circle is $12.$ Which of the following is closest to the area of the circle?

by AAPL » Wed Jun 18, 2025 12:41 pm

Last post by AAPL
Wed Jun 18, 2025 12:41 pm

Charlene's annual bonus is calculated in the following manner: Charlene receives $20$ percent of her first

by AAPL » Wed Jun 18, 2025 12:13 pm

Last post by AAPL
Wed Jun 18, 2025 12:13 pm

Fractions and Ratios

by swerve » Sat Jun 14, 2025 12:37 pm

Last post by swerve
Sat Jun 14, 2025 12:37 pm

Fractions and Ratios

by swerve » Sat Jun 14, 2025 12:24 pm

Last post by swerve
Sat Jun 14, 2025 12:24 pm

Fractions and Ratios

by swerve » Sat Jun 14, 2025 12:06 pm

Last post by swerve
Sat Jun 14, 2025 12:06 pm

In the rectangular coordinate system above, the area of triangular region $PQR$ is

by AAPL » Wed Jun 11, 2025 7:06 am

Last post by AAPL
Wed Jun 11, 2025 7:06 am

In the standard $(x, y)$ coordinate plane, which of the following is the center of the ellipse

by AAPL » Wed Jun 11, 2025 6:48 am

Last post by AAPL
Wed Jun 11, 2025 6:48 am

Must or Could be True Questions, Percent and Interest Problems

by swerve » Sun Jun 08, 2025 8:41 am

Last post by swerve
Sun Jun 08, 2025 8:41 am

Percent and Interest Problems

by swerve » Sun Jun 08, 2025 7:51 am

Last post by swerve
Sun Jun 08, 2025 7:51 am

When a positive integer $n$ is divided by $4,$ the remainder is $3.$ Which of the following could equal $n$ for

by BTGmoderatorLU » Fri Jun 06, 2025 5:59 pm

Last post by BTGmoderatorLU
Fri Jun 06, 2025 5:59 pm

If the product of $3$ consecutive integers is $210,$ then the sum of the two smaller integers is?

by AAPL » Wed Jun 04, 2025 6:41 pm

Last post by AAPL
Wed Jun 04, 2025 6:41 pm

If $x$ and $y$ are perfect squares, then which one of the following is not necessarily a perfect square?

by AAPL » Wed Jun 04, 2025 6:21 pm

Last post by AAPL
Wed Jun 04, 2025 6:21 pm

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