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What is the fastest way to solve this?

by M7MBA » Fri Aug 06, 2021 11:18 am

Last post by regor60
Wed Aug 25, 2021 10:55 am

If $n$ and $k$ are positive integers, then how many ordered pairs $(n, k)$ satisfy $n!+8=2^k?$

by Gmat_mission » Fri Aug 20, 2021 1:01 pm

Last post by regor60
Wed Aug 25, 2021 5:20 am

If x^2 = 2y^3 and 2y = 4, what is the value of x^2 + y?

by AAPL » Mon Aug 23, 2021 5:22 am

Last post by Brent@GMATPrepNow
Tue Aug 24, 2021 5:50 am

A fair 2-sided coin is flipped 6 times. What is the probability that tails will be the result at least twice, but not

by BTGmoderatorDC » Sun Aug 22, 2021 10:23 pm

Last post by swerve
Tue Aug 24, 2021 5:41 am

A mother and father have seven children, and the family receives an invitation with four tickets to the circus. If the

by BTGmoderatorDC » Mon Aug 23, 2021 7:01 pm

Last post by swerve
Tue Aug 24, 2021 5:30 am

If |x| > 3, which of the following must be true?

by AAPL » Mon Aug 23, 2021 5:18 am

Last post by Brent@GMATPrepNow
Mon Aug 23, 2021 3:44 pm

If $xy\neq0$ and $2x+3y$ is equal to 175 percent of $8x,$ then $\dfrac{x}{y}=$

by BTGmoderatorLU » Mon Aug 23, 2021 10:35 am

Last post by BTGmoderatorLU
Mon Aug 23, 2021 10:35 am

If n = 2×3×5×7×11×13×17, then which of the following statements must be true?

by BTGmoderatorLU » Mon Aug 23, 2021 10:27 am

Last post by BTGmoderatorLU
Mon Aug 23, 2021 10:27 am

If $y = |2 + x| - |2 - x|$ and $|2x - 15| < 2,$ how many integer values can $y$ take?

by Gmat_mission » Fri Aug 20, 2021 1:04 pm

Last post by regor60
Sun Aug 22, 2021 10:48 am

Carol purchased one basket of fruit consisting of 4 Apples and 2 Oranges and another basket of fruit consisting of 3

by BTGmoderatorDC » Sat Aug 21, 2021 7:53 pm

Last post by Brent@GMATPrepNow
Sun Aug 22, 2021 6:53 am

If x+|x|+y=7 and x+|y|-y=6 what is x+y=?

by AAPL » Sat Aug 21, 2021 8:12 am

Last post by AAPL
Sat Aug 21, 2021 8:12 am

For all positive integers $m, [m] = 3m$ when $m$ is odd and $[m] = \dfrac{m}2$ when $m$ is even. What is

by Gmat_mission » Fri Aug 20, 2021 11:52 am

Last post by Brent@GMATPrepNow
Sat Aug 21, 2021 7:15 am

Annika hikes at a constant rate of 12 minutes per kilometer. She has hiked 2.75 kilometers east from the start of a

by BTGmoderatorDC » Fri Aug 20, 2021 10:39 pm

Last post by Brent@GMATPrepNow
Sat Aug 21, 2021 7:11 am

If set $M$ consists of the root(s) of equation $2-x^2=(x-2)^2,$ what is the range of set $M?$

by Gmat_mission » Fri Aug 20, 2021 12:59 pm

Last post by Gmat_mission
Fri Aug 20, 2021 12:59 pm

In a rectangle with a side length of $10$ cm, two identical semicircles are drawn with their diameters coinciding with

by Gmat_mission » Fri Aug 20, 2021 12:49 pm

Last post by Gmat_mission
Fri Aug 20, 2021 12:49 pm

Five friends Alastair, Bell, Cook, Darren, and Eoin appeared in an aptitude test. Alastair scored exactly $\dfrac12$

by Gmat_mission » Fri Aug 20, 2021 12:44 pm

Last post by Gmat_mission
Fri Aug 20, 2021 12:44 pm

$t$ and $w$ are distinct integers between $105$ and $100,$ not inclusive. Which of the following could be the

by Gmat_mission » Fri Aug 20, 2021 12:40 pm

Last post by Gmat_mission
Fri Aug 20, 2021 12:40 pm

If $2^x + 2^y = x^2 + y^2,$ where $x$ and $y$ are nonnegative integers, what is the greatest possible value of

by Gmat_mission » Fri Aug 20, 2021 11:34 am

Last post by regor60
Fri Aug 20, 2021 12:39 pm

In a particular competition, a skater’s score, $s,$ is calculated by the formula $s=\dfrac{10(3t-5f)}{m}$ where

by Gmat_mission » Fri Aug 20, 2021 12:27 pm

Last post by Gmat_mission
Fri Aug 20, 2021 12:27 pm

The arithmetic mean (average) $M$ of $4$ terms is an integer. When $M$ is divided by $16,$ the remainder is

by Gmat_mission » Fri Aug 20, 2021 12:22 pm

Last post by Gmat_mission
Fri Aug 20, 2021 12:22 pm

$x$ is a positive integer less than $30,$ which of the following option correctly indicates the number of values of

by Gmat_mission » Fri Aug 20, 2021 12:19 pm

Last post by Gmat_mission
Fri Aug 20, 2021 12:19 pm

Integers $x$ and $y$ are each odd, and $x > y.$ Which of the following represents the number of odd integers $z$

by Gmat_mission » Fri Aug 20, 2021 12:14 pm

Last post by Gmat_mission
Fri Aug 20, 2021 12:14 pm

Jane has to paint a cylindrical column that is $14$ feet high and that has a circular base with a radius of $3$ feet

by Gmat_mission » Fri Aug 20, 2021 12:09 pm

Last post by Gmat_mission
Fri Aug 20, 2021 12:09 pm

If $x\ne 0$ and $\dfrac{x}{|x|}<x,$ which of the following must be true?

by Gmat_mission » Fri Aug 20, 2021 12:07 pm

Last post by Gmat_mission
Fri Aug 20, 2021 12:07 pm

Which of the following integers has the greatest number of factors?

by Gmat_mission » Fri Aug 20, 2021 12:03 pm

Last post by Gmat_mission
Fri Aug 20, 2021 12:03 pm

In triangle $RST,$ shown above, $\angle RTS = 30^{\circ}$ and $\angle RST = 15^{\circ}.$ What is the length of

by Gmat_mission » Fri Aug 20, 2021 11:57 am

Last post by Gmat_mission
Fri Aug 20, 2021 11:57 am

Last week Chris earned $x$ dollars per hour for the first $40$ hours worked plus $22$ dollars per hour for each

by Gmat_mission » Fri Aug 20, 2021 11:47 am

Last post by Gmat_mission
Fri Aug 20, 2021 11:47 am

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

by Gmat_mission » Fri Aug 20, 2021 11:40 am

Last post by Gmat_mission
Fri Aug 20, 2021 11:40 am

The ratio of cats to dogs to birds to fish is 4:5:2:10. There are no other types of animals in the pet store. If there

by BTGmoderatorDC » Thu Aug 19, 2021 10:34 pm

Last post by Brent@GMATPrepNow
Fri Aug 20, 2021 7:48 am

If $x$ and $y$ are integers and $x + y = 5,$ which of the following must be true?

by M7MBA » Fri Aug 20, 2021 6:59 am

Last post by M7MBA
Fri Aug 20, 2021 6:59 am

Statistics And Sets Problems

by swerve » Fri Aug 20, 2021 5:15 am

Last post by swerve
Fri Aug 20, 2021 5:15 am

If xy > 0 and yz < 0, which of the following must be negative?

by BTGmoderatorLU » Thu Aug 19, 2021 1:37 pm

Last post by BTGmoderatorLU
Thu Aug 19, 2021 1:37 pm

If $a, b,$ and $c$ represent the number of unique digits in the decimal representation of

by M7MBA » Thu Aug 19, 2021 1:31 pm

Last post by M7MBA
Thu Aug 19, 2021 1:31 pm

If $\dfrac{1}{1+\frac{1}{y-1}}=\dfrac{3}{4}$ and $y\neq1,$ then $y=$

by AAPL » Thu Aug 19, 2021 8:35 am

Last post by AAPL
Thu Aug 19, 2021 8:35 am

Que: ‘p’ and ‘q’ are integers such that |p – q| > 3, which of the following cannot be possible values of (p, s)?

by Max@Math Revolution » Wed Aug 18, 2021 8:03 pm

Last post by Max@Math Revolution
Wed Aug 18, 2021 8:03 pm

Que: A spice trader increased the selling price of a bag of spices by 40 percent and...........

by Max@Math Revolution » Mon Aug 16, 2021 9:17 pm

Last post by Max@Math Revolution
Wed Aug 18, 2021 7:58 pm

How many multiples of 3 are there between 10 and 90, inclusive?

by BTGmoderatorDC » Tue Aug 17, 2021 9:27 pm

Last post by swerve
Wed Aug 18, 2021 1:27 pm

If the circle above has center $A$ and area $144\pi,$ what is the perimeter of sector $ABCD?$

by VJesus12 » Wed Aug 18, 2021 7:34 am

Last post by swerve
Wed Aug 18, 2021 1:24 pm

If one number is selected at random from set A, and one number is selected at random from set B, what is the probability

by BTGmoderatorLU » Wed Aug 18, 2021 8:21 am

Last post by BTGmoderatorLU
Wed Aug 18, 2021 8:21 am

If [x] is greatest even integer less than or equal to x, what is the value of [-2.4] + [-3.4] + [2.4] + [3.4] ?

by AAPL » Tue Aug 17, 2021 2:22 pm

Last post by Brent@GMATPrepNow
Wed Aug 18, 2021 6:33 am

A singing choir of 4 children is to be formed. The selection pool consists of 8 siblings pairs. In how many ways can a

by Vincen » Tue Aug 17, 2021 7:25 am

Last post by regor60
Tue Aug 17, 2021 8:36 am

Diana bought a stereo for $530, which was the retail price plus a 6 percent sales tax. How much money could she have sav

by VJesus12 » Tue Aug 17, 2021 8:14 am

Last post by Brent@GMATPrepNow
Tue Aug 17, 2021 8:21 am

On the day of the performance of a certain play, each ticket that regularly sells for less than $\$10.00$ is sold for

by Vincen » Tue Aug 17, 2021 7:04 am

Last post by Brent@GMATPrepNow
Tue Aug 17, 2021 8:15 am

An athlete runs $R$ miles in $H$ hours, then rides a bike $Q$ miles in the same number of hours. Which of the

by VJesus12 » Tue Aug 17, 2021 8:06 am

Last post by VJesus12
Tue Aug 17, 2021 8:06 am

Given the ascending set $\{x, x, y, y, y, y\}.$ What is greater, the median or the mean?

by VJesus12 » Tue Aug 17, 2021 8:01 am

Last post by VJesus12
Tue Aug 17, 2021 8:01 am

The interior of a rectangular carton is designed by a certain manufacturer to have a volume of $x$ cubic feet and a

by VJesus12 » Tue Aug 17, 2021 7:44 am

Last post by VJesus12
Tue Aug 17, 2021 7:44 am

If $75^y\cdot 27^{2y+1}=5^4\cdot 3^x,$ what is the value of $x?$

by Vincen » Tue Aug 17, 2021 7:39 am

Last post by Vincen
Tue Aug 17, 2021 7:39 am

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

by Vincen » Tue Aug 17, 2021 7:35 am

Last post by Vincen
Tue Aug 17, 2021 7:35 am

The set of solutions for the equation $(x^2-25)^2=x^2-10x+25$ contains how many real numbers?

by Vincen » Tue Aug 17, 2021 7:31 am

Last post by Vincen
Tue Aug 17, 2021 7:31 am

There are six cards bearing numbers $2, 4, 5, 5, 5, 6.$ If two cards are randomly selected from the lot, without repla

by Vincen » Tue Aug 17, 2021 7:23 am

Last post by Vincen
Tue Aug 17, 2021 7:23 am

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