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OFFICIAL GUIDE QUESTION LIBRARY

by beatthegmat » Wed Sep 20, 2017 9:22 am

Last post by gentvenus
Wed Sep 09, 2020 12:49 pm

In the $xy$-coordinate plane, a rectangle has the vertices $(3.3, 3.3), (3.3, -7.3), (-2.3,-7.3), (-2.3,3.3).$ If a

by BTGmoderatorLU » Sun Aug 23, 2026 2:35 pm

Last post by BTGmoderatorLU
Sun Aug 23, 2026 2:35 pm

Which of the following is not a factor of the solution of the equation $x-3\sqrt{x}-18=0?$

by AAPL » Sun Aug 23, 2026 5:35 am

Last post by AAPL
Sun Aug 23, 2026 5:35 am

Probability

by swerve » Sat Aug 22, 2026 6:14 pm

Last post by swerve
Sat Aug 22, 2026 6:14 pm

For positive integers $a$ and $b,$ when $a$ is divided by $b$ the result is $14.375.$ Which of the following

by BTGmoderatorLU » Fri Aug 21, 2026 4:45 pm

Last post by BTGmoderatorLU
Fri Aug 21, 2026 4:45 pm

To do a certain work, $B$ would take three times as long as $A$ and $C$ together, and $C$ twice as long as $A$

by AAPL » Fri Aug 21, 2026 8:30 am

Last post by AAPL
Fri Aug 21, 2026 8:30 am

When a positive integer $x$ is divided by $91,$ the remainder is $49.$ What is the remainder when $2x$ is

by BTGmoderatorLU » Tue Aug 18, 2026 6:26 pm

Last post by BTGmoderatorLU
Tue Aug 18, 2026 6:26 pm

When $Q$ is divided by $W,$ the quotient is $R$ and the remainder is $E.$ Which of the following expressions is

by AAPL » Mon Aug 17, 2026 6:00 pm

Last post by AAPL
Mon Aug 17, 2026 6:00 pm

Rectangles $ABCD$ and $EFGH$ have equal areas. What is the length of side $FG?$

by BTGmoderatorLU » Fri Aug 14, 2026 3:23 pm

Last post by BTGmoderatorLU
Fri Aug 14, 2026 3:23 pm

Points $A$ and $B$ and the origin are the three vertices of an isosceles triangle, as shown above. If the

by AAPL » Thu Aug 13, 2026 5:25 pm

Last post by matthewscott
Fri Aug 14, 2026 6:32 am

Fractions and Ratios

by swerve » Sat Aug 08, 2026 5:59 pm

Last post by swerve
Sat Aug 08, 2026 5:59 pm

When the units and tens digits of a certain two-digit number are reversed, the sum of the two numbers is $121$ and the

by BTGmoderatorLU » Sat Aug 08, 2026 10:12 am

Last post by BTGmoderatorLU
Sat Aug 08, 2026 10:12 am

A batch of eight refrigerators contains two single-door refrigerators and six double-door refrigerators. If two

by AAPL » Fri Aug 07, 2026 6:31 pm

Last post by AAPL
Fri Aug 07, 2026 6:31 pm

Distance and Speed Problems

by swerve » Thu Aug 06, 2026 12:21 pm

Last post by swerve
Thu Aug 06, 2026 12:21 pm

If side $RW$ of the right triangle $RWT$ is extended as shown above, what does $y$ equal in terms of $x?$

by BTGmoderatorLU » Wed Aug 05, 2026 9:39 am

Last post by BTGmoderatorLU
Wed Aug 05, 2026 9:39 am

In the $xy$-plane, what is the slope of the line whose equation is $5x-3y=12?$

by AAPL » Tue Aug 04, 2026 8:28 am

Last post by AAPL
Tue Aug 04, 2026 8:28 am

Arithmetic

by swerve » Mon Aug 03, 2026 5:43 am

Last post by swerve
Mon Aug 03, 2026 5:43 am

The probability of a team winning a match given Matt is playing the match is $0.75.$ The probability of the team

by BTGmoderatorLU » Sun Aug 02, 2026 9:29 am

Last post by BTGmoderatorLU
Sun Aug 02, 2026 9:29 am

A box contains a collection of triangular and square tiles. There are $25$ tiles in the box, containing $84$ edges

by AAPL » Sat Aug 01, 2026 3:54 pm

Last post by AAPL
Sat Aug 01, 2026 3:54 pm

Arithmetic, Exponents

by swerve » Sat Aug 01, 2026 10:29 am

Last post by swerve
Sat Aug 01, 2026 10:29 am

A wedding decorator receives two sets of light bulbs- A and B. Set A consists of $100$ light bulbs of which $20$

by BTGmoderatorLU » Wed Jul 29, 2026 3:16 pm

Last post by BTGmoderatorLU
Wed Jul 29, 2026 3:16 pm

A train travels $15$ miles per ton of coal when it carries no cargo. When the train is filled with cargo, it travels

by AAPL » Tue Jul 28, 2026 5:51 pm

Last post by AAPL
Tue Jul 28, 2026 5:51 pm

Probability

by swerve » Mon Jul 27, 2026 1:08 pm

Last post by swerve
Mon Jul 27, 2026 1:08 pm

Probability

by swerve » Mon Jul 27, 2026 12:34 pm

Last post by swerve
Mon Jul 27, 2026 12:34 pm

John and Mike had equal amount of money in savings at the beginning of last year. Then Mike’s savings increased by

by AAPL » Fri Jul 24, 2026 3:41 pm

Last post by AAPL
Fri Jul 24, 2026 3:41 pm

Meg is twice as old as Rolf, but three years ago, she was two years older than Rolf is now. How old is Rolf now?

by AAPL » Fri Jul 24, 2026 3:09 pm

Last post by AAPL
Fri Jul 24, 2026 3:09 pm

A delivery company uses two types of trucks, X and Y

by Asimo3089 » Fri Jul 24, 2026 5:34 am

Last post by Asimo3089
Fri Jul 24, 2026 5:34 am

Absolute Values, Inequalities

by swerve » Sat Jul 18, 2026 11:58 am

Last post by swerve
Sat Jul 18, 2026 11:58 am

Exponents, Inequalities, Number Properties

by swerve » Sat Jul 18, 2026 11:30 am

Last post by swerve
Sat Jul 18, 2026 11:30 am

Patrons at a certain restaurant can select two of three appetizers - fruit, soup, and salad - along with two of three

by BTGmoderatorLU » Fri Jul 17, 2026 5:40 am

Last post by BTGmoderatorLU
Fri Jul 17, 2026 5:40 am

What is the probability that an integer chosen randomly from $1000$ to $9999$ will have $5$ in the thousands

by BTGmoderatorLU » Fri Jul 17, 2026 5:22 am

Last post by BTGmoderatorLU
Fri Jul 17, 2026 5:22 am

The distribution of blood types within a certain population is shown in the table. What is the probability that a person

by BTGmoderatorLU » Fri Jul 17, 2026 5:02 am

Last post by BTGmoderatorLU
Fri Jul 17, 2026 5:02 am

A fast-food company plans to build four new restaurants. If there are six sites $A, B, C, D, E$ and $F$, that

by BTGmoderatorLU » Wed Jul 15, 2026 6:55 pm

Last post by BTGmoderatorLU
Wed Jul 15, 2026 6:55 pm

Four families of three are lining up for a photo. How many ways can they line up if all of the members in each family

by BTGmoderatorLU » Wed Jul 15, 2026 6:44 pm

Last post by BTGmoderatorLU
Wed Jul 15, 2026 6:44 pm

Four families of three are lining up for a photo. How many ways can they line up if all of the members in each family

by BTGmoderatorLU » Wed Jul 15, 2026 6:29 pm

Last post by BTGmoderatorLU
Wed Jul 15, 2026 6:29 pm

A car finishes a journey in $12$ hours at the speed of $80\,\text{km/h.}$ If the same distance is to be covered in

by AAPL » Wed Jul 15, 2026 8:43 am

Last post by AAPL
Wed Jul 15, 2026 8:43 am

$A$ can do $\frac{1}{3}$ of the work in $4$ days and $B$ can do $\frac{2}{5}$ of the work in $8$ days. In

by AAPL » Wed Jul 15, 2026 8:18 am

Last post by AAPL
Wed Jul 15, 2026 8:18 am

math

by sumasajja » Tue Jul 26, 2011 6:15 pm

Last post by fnfunkin
Wed Jul 15, 2026 1:08 am

Work and Rate Problems

by swerve » Tue Jul 14, 2026 7:33 am

Last post by swerve
Tue Jul 14, 2026 7:33 am

Work and Rate Problems

by swerve » Tue Jul 14, 2026 7:03 am

Last post by swerve
Tue Jul 14, 2026 7:03 am

Which of the following cannot be the square of an integer?

by BTGmoderatorLU » Sun Jul 12, 2026 9:39 am

Last post by BTGmoderatorLU
Sun Jul 12, 2026 9:39 am

If $f$ and $g$ are distinct prime numbers less than $10,$ which of the following cannot be the product of $f$

by BTGmoderatorLU » Sun Jul 12, 2026 9:18 am

Last post by BTGmoderatorLU
Sun Jul 12, 2026 9:18 am

In $2010,$ Arman's birthday was on a Thursday. What day of the week was it $65$ days after his birthday?

by BTGmoderatorLU » Sun Jul 12, 2026 8:57 am

Last post by BTGmoderatorLU
Sun Jul 12, 2026 8:57 am

Given that $r=98.3,$ which of the following best approximates the valur $\dfrac{r}{2r+2}?$

by AAPL » Sat Jul 11, 2026 11:40 am

Last post by AAPL
Sat Jul 11, 2026 11:40 am

If the formula for converting degrees Fahrenheit to degrees Celsius is $C=\dfrac{5}{9}*(F-32),$ what is $F$ when

by AAPL » Sat Jul 11, 2026 11:20 am

Last post by AAPL
Sat Jul 11, 2026 11:20 am

Word Problems

by swerve » Thu Jul 09, 2026 5:56 pm

Last post by swerve
Thu Jul 09, 2026 5:56 pm

Word Problems

by swerve » Thu Jul 09, 2026 5:28 pm

Last post by swerve
Thu Jul 09, 2026 5:28 pm

The probability that a certain variety of plant produces a yellow flower is $1/5.$ If two such plants are selected at

by BTGmoderatorLU » Thu Jul 09, 2026 7:17 am

Last post by BTGmoderatorLU
Thu Jul 09, 2026 7:17 am

Among a population of $24,000$ people, $80$ percent own a personal computer, $88$ percent own a car, and $72$

by BTGmoderatorLU » Thu Jul 09, 2026 6:55 am

Last post by BTGmoderatorLU
Thu Jul 09, 2026 6:55 am

Jorge has $5$ quarters and $3$ nickels. If he picks two of these coins at random, what is the probability that both

by BTGmoderatorLU » Thu Jul 09, 2026 6:34 am

Last post by BTGmoderatorLU
Thu Jul 09, 2026 6:34 am

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