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Data Sufficiency

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Work and Rate Problems
by swerve »
An empty swimming pool with a capacity of \(30,000\) liters is to be...
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Last post by swerve
Wed Jul 30, 2025 5:31 pm
If \(60\) people attend a party, how many of these people drink coffee?
by BTGmoderatorLU »
If \(60\) people attend a party, how many of these people drink...
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Last post by BTGmoderatorLU
Tue Jul 29, 2025 9:28 am
In a class of \(50\) students, everyone plays at least one game among baseball, football and basketball. How many play
by BTGmoderatorLU »
In a class of \(50\) students, everyone plays at least one game among...
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Last post by BTGmoderatorLU
Tue Jul 29, 2025 8:55 am
In a certain institute, every student studies at least one of two subjects, Accountancy and Economics. What is the
by BTGmoderatorLU »
In a certain institute, every student studies at least one of two...
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Last post by BTGmoderatorLU
Tue Jul 29, 2025 8:40 am
Who is the fastest among the three workers \(a, b\) and \(c?\)
by AAPL »
Who is the fastest among the three workers \(a, b\) and \(c?\) 1)...
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Last post by AAPL
Mon Jul 28, 2025 10:15 am
A fishpole is to be encased in a rectangular box with a square base. The box is shorter than the pole. What are the
by AAPL »
A fishpole is to be encased in a rectangular box with a square base....
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Last post by AAPL
Mon Jul 28, 2025 9:36 am
Anthony purchased shirts and trousers in a ratio of \(4\) to \(5,\) where \(a\) is the number of shirts purchased and
by BTGmoderatorLU »
Anthony purchased shirts and trousers in a ratio of \(4\) to \(5,\)...
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Last post by BTGmoderatorLU
Fri Jul 25, 2025 7:15 am
If positive integer \(m\) has more than one distinct factor, is \(m\) divisible by \(2?\)
by AAPL »
If positive integer \(m\) has more than one distinct factor, is \(m\)...
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Last post by AAPL
Thu Jul 24, 2025 8:26 am
If \(x\) is greater than \(28\) but less than \(37,\) what is the value of \(x?\)
by AAPL »
If \(x\) is greater than \(28\) but less than \(37,\) what is the...
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Last post by AAPL
Thu Jul 24, 2025 7:50 am
Geometry, Word Problems
by swerve »
A marathon runner running along a prescribed route passes through...
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Last post by swerve
Wed Jul 23, 2025 2:04 pm
Geometry, Inequalities
by swerve »
Screenshot 2025-07-23 172356.png The figure shows all the available...
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Last post by swerve
Wed Jul 23, 2025 1:29 pm
Given that \(x\) and \(y\) are positive integers, what is the units digit of \((5*x*y)^{289}\)?
by BTGmoderatorLU »
Given that \(x\) and \(y\) are positive integers, what is the units...
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Last post by BTGmoderatorLU
Sat Jul 19, 2025 12:44 pm
What results if the number \(x\) is rounded to the nearest hundred?
by AAPL »
What results if the number \(x\) is rounded to the nearest hundred?...
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Last post by AAPL
Thu Jul 17, 2025 4:58 pm
The sequence of four numbers \(a_1, a_2, a_3,\) and \(a_4\) is such that each number after the first is \(a_1-1\)
by AAPL »
The sequence of four numbers \(a_1, a_2, a_3,\) and \(a_4\) is such...
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Last post by AAPL
Thu Jul 17, 2025 4:37 pm
Multiples and Factors, Number Properties
by swerve »
What is the Highest Common Factor of positive integers \(X\) and...
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Last post by swerve
Sat Jul 12, 2025 7:38 am
Multiples and Factors
by swerve »
A positive integer \(X\) has \('n'\) total factors, another positive...
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Last post by swerve
Sat Jul 12, 2025 7:11 am
If \(x\) and \(y\) are positive integers and \(x=y^{a-2},\) is \(x\) a factor of \(y?\)
by BTGmoderatorLU »
If \(x\) and \(y\) are positive integers and \(x=y^{a-2},\) is \(x\)...
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Last post by BTGmoderatorLU
Thu Jul 10, 2025 3:36 pm
If \(x\) and \(y\) are positive integers, then what is the value of \((-1)^x+(-1)^y+(-1)^x*(-1)^y?\)
by BTGmoderatorLU »
If \(x\) and \(y\) are positive integers, then what is the value of...
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Last post by BTGmoderatorLU
Thu Jul 10, 2025 3:23 pm
The average age of \(P, Q, R\) and \(S\) is \(30\) years. How old is \(R?\)
by AAPL »
The average age of \(P, Q, R\) and \(S\) is \(30\) years. How old is...
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Last post by AAPL
Tue Jul 08, 2025 11:29 am
Out of total \(36\) students in a class, what percent of students passed the talent hunt exam, if each of the \(36\)
by AAPL »
Out of total \(36\) students in a class, what percent of students...
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Last post by AAPL
Tue Jul 08, 2025 11:09 am
Remainders
by swerve »
When a positive integer \(n\) is divided by \(4,\) what is the...
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Last post by swerve
Wed Jul 02, 2025 9:03 am
There are \(300\) people in a conference hall. Each person is either an engineer or a professor or both or only a
by BTGmoderatorLU »
There are \(300\) people in a conference hall. Each person is either...
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Last post by BTGmoderatorLU
Tue Jul 01, 2025 9:10 am
A number is randomly selected from the first \(100\) positive multiples of \(5.\) What is the probability that the
by BTGmoderatorLU »
A number is randomly selected from the first \(100\) positive...
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Last post by BTGmoderatorLU
Tue Jul 01, 2025 8:40 am
Integers \(x\) and \(y\) are both positive, and \(x > y.\) How many different committees of \(y\) people can be chosen
by AAPL »
Integers \(x\) and \(y\) are both positive, and \(x > y.\) How...
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Last post by AAPL
Mon Jun 30, 2025 8:48 am
From a group of \(6\) employees, \(k\) employees are chosen to be on the party-planning committee. If \(k\) is a
by AAPL »
From a group of \(6\) employees, \(k\) employees are chosen to be on...
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Last post by AAPL
Mon Jun 30, 2025 8:23 am
There are \(x\) children and \(y\) chairs arranged in a circle in a room where \(x\) and \(y\) are prime numbers. In how
by AAPL »
There are \(x\) children and \(y\) chairs arranged in a circle in a...
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Last post by AAPL
Mon Jun 30, 2025 8:09 am
Word Problems
by swerve »
A cinema studio has \(3\) screens: \(A, B\) and \(C.\) Each of these...
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Last post by swerve
Thu Jun 26, 2025 5:47 pm
Word Problems
by swerve »
Joe uses three different modes of transportation to travel a total of...
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Last post by swerve
Thu Jun 26, 2025 5:15 pm
In the coordinate plane above, \(ABCD\) and \(DEFG\) are squares, and points \(B\) and \(E\) lie on the line. What is
by BTGmoderatorLU »
Screen Shot 2021-05-10 at 17.34.26.png In the coordinate plane...
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Last post by BTGmoderatorLU
Thu Jun 26, 2025 8:48 am
In the rectangular coordinate system above, what is the area of the triangular region \(AED?\)
by BTGmoderatorLU »
Untitled.png In the rectangular coordinate system above, what is the...
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Last post by BTGmoderatorLU
Thu Jun 26, 2025 8:26 am
If from \(1991\) to \(2000,\) the number of students of School \(X\) tripled, how many number of students of the school
by AAPL »
If from \(1991\) to \(2000,\) the number of students of School \(X\)...
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Last post by AAPL
Tue Jun 24, 2025 3:09 pm
An airline company pays \(\$10,000\) less for each additional airplane ordered. What would be the total price for \(5\)
by AAPL »
An airline company pays \(\$10,000\) less for each additional...
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Last post by AAPL
Tue Jun 24, 2025 2:31 pm
Probability
by swerve »
A large bin contains forty colored balls numbered \(161\) to \(200.\)...
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Last post by swerve
Sun Jun 22, 2025 9:56 am
In a class, teacher decides to choose two students for a certain experiment, out of the boys and girls present. In how
by BTGmoderatorLU »
In a class, teacher decides to choose two students for a certain...
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Last post by BTGmoderatorLU
Thu Jun 19, 2025 5:22 pm
What is the ratio of houses with smoke alarms to houses without smoke alarms on Gleaner Street?
by AAPL »
What is the ratio of houses with smoke alarms to houses without smoke...
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Last post by AAPL
Wed Jun 18, 2025 12:50 pm
If the units’ digit of a three-digit positive number \(N\) is between \(1\) to \(9,\) inclusive, what is the tens’
by AAPL »
If the units’ digit of a three-digit positive number \(N\) is...
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Last post by AAPL
Wed Jun 18, 2025 12:30 pm
Fractions and Ratios
by swerve »
What fraction of the cookies in a certain bakery’s window display...
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Last post by swerve
Sat Jun 14, 2025 12:43 pm
Fractions and Ratios, Word Problems
by swerve »
A container has red, blue, and green balls, and the number of green...
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Last post by swerve
Sat Jun 14, 2025 12:18 pm
In the \(XY\)-plane, the line with equation \(ax + by + c = 0,\) where \(abc \neq 0,\) has slope \(-3.\) What is the
by AAPL »
In the \(XY\)-plane, the line with equation \(ax + by + c = 0,\)...
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Last post by AAPL
Wed Jun 11, 2025 7:14 am
If points \(A, B, C\) lie in the \(xy\) plane, is the area of triangle \(ABC\) greater than \(6\) square units?
by AAPL »
If points \(A, B, C\) lie in the \(xy\) plane, is the area of...
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Last post by AAPL
Wed Jun 11, 2025 6:59 am
Do at least \(24\) percent of Loral business school students aspire to do masters in economics?
by swerve »
Do at least \(24\) percent of Loral business school students aspire...
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Last post by swerve
Sun Jun 08, 2025 8:08 am
What is the remainder when the positive integer \(x\) is divided by \(7?\)
by BTGmoderatorLU »
What is the remainder when the positive integer \(x\) is divided by...
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Last post by BTGmoderatorLU
Fri Jun 06, 2025 6:04 pm
What is the one-thousandth term in sequence \(S?\)
by AAPL »
What is the one-thousandth term in sequence \(S?\) 1. The fifth term...
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Last post by AAPL
Wed Jun 04, 2025 6:50 pm
Given an arithmetic sequence of \(N\) terms in which the common difference between terms is \(2,\) what is the value of
by AAPL »
Given an arithmetic sequence of \(N\) terms in which the common...
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Last post by AAPL
Wed Jun 04, 2025 6:28 pm
Coordinate Geometry
by swerve »
image017.jpg A circle with center \((1, 0)\) and radius \(2\) lies...
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Last post by swerve
Sat May 31, 2025 7:12 am
Coordinate Geometry
by swerve »
Find area of a right triangle with one vertex at the origin and side...
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Last post by swerve
Sat May 31, 2025 6:50 am
The management of a company reviews the performance of \(15\) employees based on the ratings, gives gold, silver and
by BTGmoderatorLU »
The management of a company reviews the performance of \(15\)...
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Last post by BTGmoderatorLU
Thu May 29, 2025 4:55 pm
In how many ways can a coach select a university team from a pool of eligible candidates?
by BTGmoderatorLU »
In how many ways can a coach select a university team from a pool of...
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Last post by BTGmoderatorLU
Thu May 29, 2025 4:27 pm
In \(1984\) a certain union had a total of \(15,600\) members. Was the percent increase in the total number of members
by AAPL »
In \(1984\) a certain union had a total of \(15,600\) members. Was...
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Last post by AAPL
Wed May 28, 2025 5:42 pm
Each number in the arrangement above is obtained from the two nearest numbers in the column immediately to the left by
by AAPL »
2014-12-18_1804.png Each number in the arrangement above is obtained...
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Last post by AAPL
Wed May 28, 2025 5:22 pm