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Which one of the following must equal $p + q,$ if $x – y = p$ and $2x + 3y = q?$

by AAPL » Wed Dec 06, 2023 5:45 pm

Last post by AAPL
Wed Dec 06, 2023 5:45 pm

All the possible five-digit numbers are formed using only the digits $4, 5$ and $6.$ How many of them will have at

by BTGmoderatorLU » Fri Dec 01, 2023 9:13 am

Last post by BTGmoderatorLU
Fri Dec 01, 2023 9:13 am

$50$ people consume $350\, \text{kg}$ of rice in $30$ days. In how many days will $35$ people consume

by AAPL » Thu Nov 30, 2023 9:34 am

Last post by AAPL
Thu Nov 30, 2023 9:34 am

Machine $A$ can produce $2000$ bolts in $8$ hours, and machine $B$ can produce the same number of bolts in $2$

by AAPL » Thu Nov 30, 2023 9:12 am

Last post by AAPL
Thu Nov 30, 2023 9:12 am

During a day, a door-to-door brick salesman sold three fourths of his bricks for $\$0.25$ each. If he had $150$

by swerve » Wed Nov 29, 2023 10:51 am

Last post by swerve
Wed Nov 29, 2023 10:51 am

If $a, b$ are integers and $|a-b|=8,$ which of the following is the smallest possible value of $ab?$

by BTGmoderatorLU » Sun Nov 26, 2023 9:58 am

Last post by BTGmoderatorLU
Sun Nov 26, 2023 9:58 am

A scientist has $400$ units of a $6\%$ phosphoric acid solution, and an unlimited supply of $12\%$ phosphoric

by AAPL » Fri Nov 24, 2023 6:22 pm

Last post by AAPL
Fri Nov 24, 2023 6:22 pm

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

by AAPL » Fri Nov 24, 2023 6:07 pm

Last post by AAPL
Fri Nov 24, 2023 6:07 pm

In the figure above, $ABCO$ is a rectangle and the line that passes through points $A$ and $B$ is $3y-2x-15=0.$

by swerve » Wed Nov 22, 2023 11:26 am

Last post by swerve
Wed Nov 22, 2023 11:26 am

Line $L$ in the $xy$-plane contains points $A$ and $B$ with coordinates $(-4,5)$ and $(6,-1),$ respectively.

by swerve » Wed Nov 22, 2023 11:07 am

Last post by swerve
Wed Nov 22, 2023 11:07 am

If a sum triples in $4$ years under simple interest, find the time that it would take to become $5$ times itself at

by BTGmoderatorLU » Sun Nov 19, 2023 6:59 am

Last post by BTGmoderatorLU
Sun Nov 19, 2023 6:59 am

If distinct numbers $x, y, z$ and $p$ are chosen from the numbers $-2, 2, 1/2, -1/3,$ what is the largest possible

by BTGmoderatorLU » Sun Nov 19, 2023 6:38 am

Last post by BTGmoderatorLU
Sun Nov 19, 2023 6:38 am

In a series of six consecutive integers, the sum of the first three integers is $93.$ What is the sum of the last

by AAPL » Wed Nov 15, 2023 3:44 pm

Last post by AAPL
Wed Nov 15, 2023 3:44 pm

A seller of used cars has $16$ cars to sell and each of his clients selected $4$ cars that he liked most. If each

by AAPL » Wed Nov 15, 2023 3:28 pm

Last post by AAPL
Wed Nov 15, 2023 3:28 pm

If $p$ is an integer such that $(-4)^{2p+6}=4^{9-p},$ then $p=$

by swerve » Sat Nov 11, 2023 1:12 pm

Last post by swerve
Sat Nov 11, 2023 1:12 pm

If $Z$ is a positive integer and $192^5$ is a multiple of $8^Z$, what is the largest possible value of $Z?$

by swerve » Sat Nov 11, 2023 12:50 pm

Last post by swerve
Sat Nov 11, 2023 12:50 pm

Which of the following numbers is greater than three fourths of the numbers but less than one fourth of the numbers in

by BTGmoderatorLU » Fri Nov 10, 2023 6:20 pm

Last post by BTGmoderatorLU
Fri Nov 10, 2023 6:20 pm

If an object travels at five feet per second, how many feet does it travel in one hour?

by BTGmoderatorLU » Fri Nov 10, 2023 5:55 pm

Last post by BTGmoderatorLU
Fri Nov 10, 2023 5:55 pm

A rod of length $30$ units is to be cut into $P$ parts so that the magnitude of the product of the lengths of the

by AAPL » Tue Nov 07, 2023 4:42 pm

Last post by AAPL
Tue Nov 07, 2023 4:42 pm

Miss Peachtree has earned an average of $\$4,200$ for the first eleven months of the year. If She justifies her

by swerve » Sun Nov 05, 2023 7:15 am

Last post by swerve
Sun Nov 05, 2023 7:15 am

Johnny travels a total of one hour to and from school. On the way there he jogs at $5$ miles per hour and on the

by AAPL » Sat Nov 04, 2023 10:55 am

Last post by AAPL
Sat Nov 04, 2023 10:55 am

Stephanie, Regine, and Brian ran a $20$ mile race. Stephanie and Regine's combined times exceeded Brian's time by

by AAPL » Sat Nov 04, 2023 10:46 am

Last post by AAPL
Sat Nov 04, 2023 10:46 am

In a set of three numbers, the difference between the largest and the second largest numbers is added to the smallest

by swerve » Sun Oct 22, 2023 6:08 am

Last post by swerve
Sun Oct 22, 2023 6:08 am

In the number line shown above, point $P$ is midway between $A$ and $B$. Point $Q$ is midway between $C$ and

by swerve » Sun Oct 22, 2023 5:48 am

Last post by swerve
Sun Oct 22, 2023 5:48 am

The population of a certain country increases at the rate of $30,000$ people every month. The population of the

by BTGmoderatorLU » Sat Oct 21, 2023 11:16 am

Last post by BTGmoderatorLU
Sat Oct 21, 2023 11:16 am

During a trip of $200$ kilometres, Stella covers the first $80$ kilometres at an average speed of $x$ kilometres

by AAPL » Fri Oct 20, 2023 6:42 am

Last post by AAPL
Fri Oct 20, 2023 6:42 am

An airplane leaves city $A$ to make a connection in city $C$, before going on to city $B$ (as shown in the map).

by AAPL » Fri Oct 20, 2023 6:22 am

Last post by AAPL
Fri Oct 20, 2023 6:22 am

A family drove from home to a vacation destination $100$ miles away, driving the first half of the distance at a

by swerve » Sat Oct 14, 2023 4:44 pm

Last post by swerve
Sat Oct 14, 2023 4:44 pm

When an object drops from a certain altitude, if the distance between it and the ground is $H$ and the time it has

by BTGmoderatorLU » Thu Oct 12, 2023 7:48 am

Last post by BTGmoderatorLU
Thu Oct 12, 2023 7:48 am

The sum of the first $100$ positive integers is $5,050.$ What is the of the first $200$ positive integers?

by BTGmoderatorLU » Thu Oct 12, 2023 7:29 am

Last post by BTGmoderatorLU
Thu Oct 12, 2023 7:29 am

Baltimore native Michael Phelps needs a display to store his $23$ gold, $3$ silver, and $2$ bronze medals. He is

by AAPL » Wed Oct 11, 2023 8:36 am

Last post by AAPL
Wed Oct 11, 2023 8:36 am

If $p$ is the sum of all the integers from $1$ to $150$, inclusive, and $q$ is the sum of all the integers from

by swerve » Sun Oct 08, 2023 11:36 am

Last post by swerve
Sun Oct 08, 2023 11:36 am

Certain product reaches consumers after passing through $4$ stages. First, the manufacturer decides the basic price

by swerve » Sun Oct 08, 2023 11:29 am

Last post by swerve
Sun Oct 08, 2023 11:29 am

The price of each share of stock $K$, when traded at a certain stock exchange, first goes up by $p$ percent and

by BTGmoderatorLU » Sat Oct 07, 2023 12:00 pm

Last post by BTGmoderatorLU
Sat Oct 07, 2023 12:00 pm

A bakery keeps flour in two storehouses. The stock in the first storehouse decreased by $20\%$ since yesterday,

by BTGmoderatorLU » Sat Oct 07, 2023 11:42 am

Last post by BTGmoderatorLU
Sat Oct 07, 2023 11:42 am

What is the greatest value of $x$ such that $8^x$ is a factor of $16!?$

by AAPL » Wed Oct 04, 2023 7:49 am

Last post by AAPL
Wed Oct 04, 2023 7:49 am

If $k$ is a positive integer, what is the maximum value of $k$ such that $\dfrac{65!}{6^k}$ is an integer?

by AAPL » Wed Oct 04, 2023 7:39 am

Last post by AAPL
Wed Oct 04, 2023 7:39 am

It takes Mike 1 hour and 30 minutes to commute from home to work at an average speed of 40 miles per hour. If Mike retur

by VJesus12 » Fri Jul 24, 2020 6:45 am

Last post by taniyuki
Mon Oct 02, 2023 7:03 pm

How many gallons of milk that is $10$ percent butter-fat must be added to $8$ gallons of milk that is $35$ percent

by swerve » Thu Sep 28, 2023 6:06 pm

Last post by swerve
Thu Sep 28, 2023 6:06 pm

Five gallons of a solution of vinegar and water with $8\%$ vinegar is to be diluted with water to make a $4\%$

by swerve » Thu Sep 28, 2023 5:51 pm

Last post by swerve
Thu Sep 28, 2023 5:51 pm

Which of the following groups had the highest voting percentage in $1968?$

by BTGmoderatorLU » Thu Sep 21, 2023 11:43 am

Last post by Asimo3089
Mon Sep 25, 2023 7:59 am

A school district’s food and nutrition director asks a panel of high school students for recommendations for changes in

by BTGmoderatorLU » Thu Sep 21, 2023 11:27 am

Last post by BTGmoderatorLU
Thu Sep 21, 2023 11:27 am

Arjum and Bhim can run a full round around a circular track in $4$ minutes and $7$ minutes respectively. If they

by AAPL » Tue Sep 19, 2023 11:11 am

Last post by AAPL
Tue Sep 19, 2023 11:11 am

The boy ans girls in a college are in the ratio $3:2$. If $20\%$ of the boys and $25\%$ of the girls are adults,

by AAPL » Tue Sep 19, 2023 11:05 am

Last post by AAPL
Tue Sep 19, 2023 11:05 am

If $-6$ and $3$ are the solutions to the equation $x^2 + bx + c = 0$, where $b$ and $c$ are constants, what is

by BTGmoderatorLU » Sun Sep 17, 2023 6:44 am

Last post by BTGmoderatorLU
Sun Sep 17, 2023 6:44 am

If the average (arithmetic mean) of $a$ and $-5$ is $10$, then $a =$

by BTGmoderatorLU » Sun Sep 17, 2023 6:27 am

Last post by BTGmoderatorLU
Sun Sep 17, 2023 6:27 am

The teachers’ colony has $2800$ members, out of which $650$ members read only English newspaper. $550$ members

by AAPL » Fri Sep 15, 2023 10:14 am

Last post by AAPL
Fri Sep 15, 2023 10:14 am

A survey of $1.2$ million homes reported that $650,000$ had fewer than $2$ children. In homes with $2$ or more

by AAPL » Fri Sep 15, 2023 10:02 am

Last post by AAPL
Fri Sep 15, 2023 10:02 am

Five units squares are arranged in the coordinate plane as shown, with the lower left corner at the origin. The slanted

by swerve » Thu Sep 14, 2023 6:38 am

Last post by swerve
Thu Sep 14, 2023 6:38 am

In the rectangle above, the shaded region is bounded in part by $4$ equal arcs with centers at $P, Q, R,$ and $S$.

by swerve » Thu Sep 14, 2023 6:29 am

Last post by swerve
Thu Sep 14, 2023 6:29 am

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