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If $P^2-QR=10,$ $Q^2+PR=10,$ $R^2+PQ=10,$ and $R\ne Q,$ what is the value of $P^2+Q^2+R^2?$

by M7MBA » Fri Mar 12, 2021 10:52 am

Last post by regor60
Sun Mar 14, 2021 6:36 am

In how many ways can the letters of the word permutations be arranged such that the order of vowels remains unchanged?

by Gmat_mission » Sun Mar 14, 2021 5:46 am

Last post by Gmat_mission
Sun Mar 14, 2021 5:46 am

$p$ is the smallest perfect cube greater than $1$ such that the difference between the tens digit of $p^2$ and the

by Gmat_mission » Sun Mar 14, 2021 5:41 am

Last post by Gmat_mission
Sun Mar 14, 2021 5:41 am

If $p$ is a non-positive number, then for what value of $p$ does the expression $|77 - 6p|$ holds the minimum valu

by M7MBA » Sun Mar 14, 2021 5:36 am

Last post by M7MBA
Sun Mar 14, 2021 5:36 am

During the break of a football match, the coach will make $3$ substitutions. If the team consists of $11$ players

by M7MBA » Sun Mar 14, 2021 5:25 am

Last post by M7MBA
Sun Mar 14, 2021 5:25 am

Which of the following is equal to $0.9998^2 ?$

by M7MBA » Sun Mar 14, 2021 5:12 am

Last post by M7MBA
Sun Mar 14, 2021 5:12 am

Que: Approximately how many seconds will it take for a car with a constant rate of 55 miles per hour......

by Max@Math Revolution » Wed Mar 10, 2021 9:05 pm

Last post by Max@Math Revolution
Sat Mar 13, 2021 9:29 pm

Que: The number of cars this year decreased by 10% compared to last year. The number of mobiles this year ....

by Max@Math Revolution » Wed Mar 10, 2021 9:03 pm

Last post by Max@Math Revolution
Sat Mar 13, 2021 9:24 pm

Which of the following could be the equation of a line parallel to the line 3x + 2y = 8?

by BTGmoderatorLU » Fri Feb 26, 2021 5:00 pm

Last post by Scott@TargetTestPrep
Sat Mar 13, 2021 3:50 pm

In a certain group of 10 members, 4 members teach only French and the rest teach only Spanish or german. If the group

by AAPL » Wed Mar 03, 2021 10:45 am

Last post by Scott@TargetTestPrep
Sat Mar 13, 2021 3:49 pm

A sporting good store sells one type of baseball bat and one type of baseball. The cost for 2 bats and 4 balls is $160.

by BTGmoderatorDC » Sat Feb 27, 2021 5:34 pm

Last post by Scott@TargetTestPrep
Sat Mar 13, 2021 3:48 pm

If 12 men and 16 women can do a piece of work in 5 days and 13 men and 24 women can do it in 4 days, how long will 7

by BTGmoderatorDC » Fri Feb 26, 2021 6:21 pm

Last post by Scott@TargetTestPrep
Sat Mar 13, 2021 3:47 pm

If $ 5,000 is invested in an account that earns 8% interest compounded semi-annually, then the interest earned after one

by BTGmoderatorDC » Sun Feb 28, 2021 5:56 pm

Last post by Scott@TargetTestPrep
Sat Mar 13, 2021 3:45 pm

An artist is painting a white circular region on the top surface of a square blue tile that measures 8 inches on a side.

by AAPL » Wed Mar 03, 2021 10:54 am

Last post by Scott@TargetTestPrep
Sat Mar 13, 2021 3:14 pm

A publisher printed 50,000 copies of a book. All but 500 copies were sold. Of the books sold, 10 percent were sold at

by BTGmoderatorDC » Wed Mar 03, 2021 4:42 pm

Last post by Scott@TargetTestPrep
Sat Mar 13, 2021 3:13 pm

Combinations

by swerve » Fri Feb 26, 2021 10:41 am

Last post by Scott@TargetTestPrep
Sat Mar 13, 2021 3:12 pm

Combinations

by swerve » Fri Feb 26, 2021 10:49 am

Last post by Scott@TargetTestPrep
Sat Mar 13, 2021 3:08 pm

A total of 9,180 people participated in a research study on the genetics of eye color. Of the participants, 4/9 had two

by BTGmoderatorLU » Fri Feb 26, 2021 4:51 pm

Last post by Scott@TargetTestPrep
Sat Mar 13, 2021 3:08 pm

Between 3:00 am. and 3:00 p.m. of the same day, the minute hand of a properly operating clock...

by BTGmoderatorLU » Sat Feb 27, 2021 12:43 pm

Last post by Scott@TargetTestPrep
Sat Mar 13, 2021 3:06 pm

Flor is choosing three of five colors of paint to use for her art project at school. Two of the colors, Green and Yellow

by BTGmoderatorDC » Mon Mar 01, 2021 5:53 pm

Last post by Scott@TargetTestPrep
Sat Mar 13, 2021 3:05 pm

Jijil, Savy, and Tes share an apartment that has a monthly rent of $150. If Savy pays twice as much as Jijil and Tes

by BTGmoderatorDC » Tue Mar 02, 2021 5:58 pm

Last post by Scott@TargetTestPrep
Sat Mar 13, 2021 3:04 pm

A certain kind of necklace is made from 9 orange, 6 black, and 3 silver beads. What is the maximum number of these...

by BTGmoderatorLU » Fri Feb 26, 2021 5:12 pm

Last post by Scott@TargetTestPrep
Sat Mar 13, 2021 3:03 pm

In a horticultural experiment, 200 seeds were planted in plot I and 300 were planted in plot II. If 57 percent of the

by BTGmoderatorLU » Sat Feb 27, 2021 1:04 pm

Last post by Scott@TargetTestPrep
Sat Mar 13, 2021 3:02 pm

A line has a slope of 1/6 and intersects the x-axis at

by BTGmoderatorDC » Fri Mar 12, 2021 6:00 pm

Last post by BTGmoderatorDC
Fri Mar 12, 2021 6:00 pm

Harry started a 6-mile hike with a full 10-cup canteen of water and finished the hike in 2 hours with 1 cup of water...

by AAPL » Fri Mar 12, 2021 5:14 pm

Last post by AAPL
Fri Mar 12, 2021 5:14 pm

A long-distance telephone company charges a monthly fee of $4.95 plus $0.07 per minute for long-distance telephone calls

by AAPL » Fri Mar 12, 2021 4:51 pm

Last post by AAPL
Fri Mar 12, 2021 4:51 pm

A container consists of $x$ liters of milk. The milk in the container is adulterated by adding water equal to $50$

by VJesus12 » Thu Mar 11, 2021 12:52 pm

Last post by swerve
Fri Mar 12, 2021 11:22 am

A set of 51 different integers has a median of 30 and a range of 60. What is the value of the least possible integer in

by VJesus12 » Thu Mar 11, 2021 12:55 pm

Last post by swerve
Fri Mar 12, 2021 11:09 am

If for all numbers $P,$ where $P\ne 1,$ the function $@$ is defined by $P@=\dfrac{P}{P-1},$ what is the value of

by M7MBA » Fri Mar 12, 2021 11:05 am

Last post by M7MBA
Fri Mar 12, 2021 11:05 am

What is the sum of all integers which satisfy the inequality above?

by M7MBA » Fri Mar 12, 2021 10:57 am

Last post by M7MBA
Fri Mar 12, 2021 10:57 am

$A$ and $B$ are members of a group of $11$ people. A team of $6$ members is to be chosen from this group. What

by M7MBA » Fri Mar 12, 2021 10:55 am

Last post by M7MBA
Fri Mar 12, 2021 10:55 am

A couple has two children, one of whom is a girl. If the probability of having a girl or a boy

by BTGmoderatorDC » Thu Mar 11, 2021 4:52 pm

Last post by swerve
Fri Mar 12, 2021 10:49 am

A pizza can be assembled from given choices, with customers' preferences. The crust is available in 3 varieties - cheese

by VJesus12 » Fri Mar 12, 2021 10:48 am

Last post by VJesus12
Fri Mar 12, 2021 10:48 am

In the decimal notation of number $\left(\dfrac2{23}\right)^3.$ What is the third digit to the right of the decimal

by VJesus12 » Fri Mar 12, 2021 10:45 am

Last post by VJesus12
Fri Mar 12, 2021 10:45 am

The difference of two negative numbers is 2. If the greater of the two numbers is 10 more than thrice the lesser, what

by VJesus12 » Fri Mar 12, 2021 10:42 am

Last post by VJesus12
Fri Mar 12, 2021 10:42 am

In a set of 10 consecutive odd positive integers, the product of the least and the greatest integers is 63? What is the

by VJesus12 » Fri Mar 12, 2021 10:40 am

Last post by VJesus12
Fri Mar 12, 2021 10:40 am

If a set of numbers consists of 10, 15, 0, 3, and x, and the range of the set is 30, what are the possible values for...

by BTGmoderatorLU » Thu Mar 11, 2021 4:44 pm

Last post by BTGmoderatorLU
Thu Mar 11, 2021 4:44 pm

The image of a star is projected onto a planetarium wall by a projector that sits atop a vertical 4-foot stand. If the

by BTGmoderatorLU » Thu Mar 11, 2021 4:34 pm

Last post by BTGmoderatorLU
Thu Mar 11, 2021 4:34 pm

Abel can complete a work in 10 days, Ben in 12 days and Carla in 15 days. All of them began the work together, but Abel

by VJesus12 » Thu Mar 11, 2021 12:49 pm

Last post by VJesus12
Thu Mar 11, 2021 12:49 pm

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

by VJesus12 » Thu Mar 11, 2021 12:46 pm

Last post by VJesus12
Thu Mar 11, 2021 12:46 pm

It takes Joey the postman 1 hour to run a 3-mile long route every day. He delivers packages and then returns to the post

by VJesus12 » Thu Mar 11, 2021 12:41 pm

Last post by VJesus12
Thu Mar 11, 2021 12:41 pm

If $x$ and $y$ are integers such that $|y + 3| \le 3$ and $2y - 3x + 6 = 0,$ what is the least possible value of

by VJesus12 » Thu Mar 11, 2021 12:38 pm

Last post by VJesus12
Thu Mar 11, 2021 12:38 pm

A furniture manufacturer has two machines, but only one can be used at a time. Machine $A$ is utilized during the

by VJesus12 » Thu Mar 11, 2021 12:34 pm

Last post by VJesus12
Thu Mar 11, 2021 12:34 pm

There are 30 coins in a bag of which 10 are gold. If 25 of the coins are rare, then the number of rare gold coins in the

by VJesus12 » Thu Mar 11, 2021 12:32 pm

Last post by VJesus12
Thu Mar 11, 2021 12:32 pm

A snack mix that is 20% raisins is blended with a second mix that is 30% raisins. The initial blend is 5 pounds of the

by VJesus12 » Thu Mar 11, 2021 12:29 pm

Last post by VJesus12
Thu Mar 11, 2021 12:29 pm

A certain rectangle has the length of $a$ centimeters and the width of $b$ centimeters, where $a$ and $b$ are in

by VJesus12 » Thu Mar 11, 2021 12:23 pm

Last post by VJesus12
Thu Mar 11, 2021 12:23 pm

If a cube with the length of the side of 4 cm is cut into smaller cubes with the length of the side of 1 cm, then what

by VJesus12 » Thu Mar 11, 2021 12:18 pm

Last post by VJesus12
Thu Mar 11, 2021 12:18 pm

A bus from city $M$ is traveling to city $N$ at a constant speed while another bus is making the same journey in the

by VJesus12 » Thu Mar 11, 2021 12:16 pm

Last post by VJesus12
Thu Mar 11, 2021 12:16 pm

What is the least possible distance between a point on the circle $x^2+y^2=1$ and a point on the line

by VJesus12 » Thu Mar 11, 2021 12:13 pm

Last post by VJesus12
Thu Mar 11, 2021 12:13 pm

If $[x]$ is the greatest integer less than or equal to $x,$ and $[\sqrt{x}] = 5$ and $[\sqrt{y}] = 6,$ where

by Vincen » Thu Mar 11, 2021 11:58 am

Last post by Vincen
Thu Mar 11, 2021 11:58 am

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