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Data Sufficiency

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A marathon runner running along a prescribed route passes through...
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Geometry, Inequalities
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Screenshot 2025-07-23 172356.png The figure shows all the available...
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Given that \(x\) and \(y\) are positive integers, what is the units digit of \((5*x*y)^{289}\)?
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Given that \(x\) and \(y\) are positive integers, what is the units...
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What results if the number \(x\) is rounded to the nearest hundred?
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What results if the number \(x\) is rounded to the nearest hundred?...
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The sequence of four numbers \(a_1, a_2, a_3,\) and \(a_4\) is such that each number after the first is \(a_1-1\)
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The sequence of four numbers \(a_1, a_2, a_3,\) and \(a_4\) is such...
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Multiples and Factors, Number Properties
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What is the Highest Common Factor of positive integers \(X\) and...
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Multiples and Factors
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A positive integer \(X\) has \('n'\) total factors, another positive...
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If \(x\) and \(y\) are positive integers and \(x=y^{a-2},\) is \(x\) a factor of \(y?\)
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If \(x\) and \(y\) are positive integers and \(x=y^{a-2},\) is \(x\)...
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If \(x\) and \(y\) are positive integers, then what is the value of \((-1)^x+(-1)^y+(-1)^x*(-1)^y?\)
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If \(x\) and \(y\) are positive integers, then what is the value of...
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The average age of \(P, Q, R\) and \(S\) is \(30\) years. How old is \(R?\)
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The average age of \(P, Q, R\) and \(S\) is \(30\) years. How old is...
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Out of total \(36\) students in a class, what percent of students passed the talent hunt exam, if each of the \(36\)
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Out of total \(36\) students in a class, what percent of students...
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Remainders
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When a positive integer \(n\) is divided by \(4,\) what is the...
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There are \(300\) people in a conference hall. Each person is either an engineer or a professor or both or only a
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There are \(300\) people in a conference hall. Each person is either...
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A number is randomly selected from the first \(100\) positive multiples of \(5.\) What is the probability that the
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A number is randomly selected from the first \(100\) positive...
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Integers \(x\) and \(y\) are both positive, and \(x > y.\) How many different committees of \(y\) people can be chosen
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Integers \(x\) and \(y\) are both positive, and \(x > y.\) How...
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From a group of \(6\) employees, \(k\) employees are chosen to be on the party-planning committee. If \(k\) is a
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There are \(x\) children and \(y\) chairs arranged in a circle in a room where \(x\) and \(y\) are prime numbers. In how
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There are \(x\) children and \(y\) chairs arranged in a circle in a...
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Word Problems
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A cinema studio has \(3\) screens: \(A, B\) and \(C.\) Each of these...
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Word Problems
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Joe uses three different modes of transportation to travel a total of...
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In the coordinate plane above, \(ABCD\) and \(DEFG\) are squares, and points \(B\) and \(E\) lie on the line. What is
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Screen Shot 2021-05-10 at 17.34.26.png In the coordinate plane...
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In the rectangular coordinate system above, what is the area of the triangular region \(AED?\)
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Untitled.png In the rectangular coordinate system above, what is the...
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If from \(1991\) to \(2000,\) the number of students of School \(X\) tripled, how many number of students of the school
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If from \(1991\) to \(2000,\) the number of students of School \(X\)...
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An airline company pays \(\$10,000\) less for each additional airplane ordered. What would be the total price for \(5\)
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An airline company pays \(\$10,000\) less for each additional...
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Probability
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A large bin contains forty colored balls numbered \(161\) to \(200.\)...
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In a class, teacher decides to choose two students for a certain experiment, out of the boys and girls present. In how
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In a class, teacher decides to choose two students for a certain...
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What is the ratio of houses with smoke alarms to houses without smoke alarms on Gleaner Street?
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What is the ratio of houses with smoke alarms to houses without smoke...
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If the units’ digit of a three-digit positive number \(N\) is...
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Fractions and Ratios
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What fraction of the cookies in a certain bakery’s window display...
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Fractions and Ratios, Word Problems
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A container has red, blue, and green balls, and the number of green...
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In the \(XY\)-plane, the line with equation \(ax + by + c = 0,\)...
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If points \(A, B, C\) lie in the \(xy\) plane, is the area of triangle \(ABC\) greater than \(6\) square units?
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If points \(A, B, C\) lie in the \(xy\) plane, is the area of...
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Do at least \(24\) percent of Loral business school students aspire to do masters in economics?
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Do at least \(24\) percent of Loral business school students aspire...
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What is the remainder when the positive integer \(x\) is divided by \(7?\)
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What is the remainder when the positive integer \(x\) is divided by...
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What is the one-thousandth term in sequence \(S?\)
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What is the one-thousandth term in sequence \(S?\) 1. The fifth term...
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Given an arithmetic sequence of \(N\) terms in which the common difference between terms is \(2,\) what is the value of
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Given an arithmetic sequence of \(N\) terms in which the common...
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Coordinate Geometry
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image017.jpg A circle with center \((1, 0)\) and radius \(2\) lies...
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Coordinate Geometry
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Find area of a right triangle with one vertex at the origin and side...
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The management of a company reviews the performance of \(15\) employees based on the ratings, gives gold, silver and
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The management of a company reviews the performance of \(15\)...
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In how many ways can a coach select a university team from a pool of eligible candidates?
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In how many ways can a coach select a university team from a pool of...
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In \(1984\) a certain union had a total of \(15,600\) members. Was the percent increase in the total number of members
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In \(1984\) a certain union had a total of \(15,600\) members. Was...
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Each number in the arrangement above is obtained from the two nearest numbers in the column immediately to the left by
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2014-12-18_1804.png Each number in the arrangement above is obtained...
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Wed May 28, 2025 5:22 pm
Statistics and Sets Problems
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The average of a certain set of numbers is \(20\) and its range is...
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Sun May 25, 2025 10:29 am
Statistics and Sets Problems, Word Problems
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In a certain country, the average retirement age for college...
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What is the average temperature from Monday through Saturday of a week?
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What is the average temperature from Monday through Saturday of a...
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Fri May 23, 2025 3:34 pm
Racing Car \(A\) and Racing Car \(B\) were driven a distance of \(1\) mile in opposite directions. Racing Car \(A\)
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Racing Car \(A\) and Racing Car \(B\) were driven a distance of \(1\)...
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How many hours did it take Dale to drive from \(A\)-town to \(B\)-town?
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How many hours did it take Dale to drive from \(A\)-town to...
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Thu May 22, 2025 4:21 pm
Geometry
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2015-01-14_1320.png In the figure above, segments \(AB\) and \(CD\)...
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Geometry
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What is the volume, in cubic meters, of the water in a certain...
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Fri May 16, 2025 7:13 pm
Does positive integer \(d\) have two or more factors, both of which are greater than \(1?\)
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Does positive integer \(d\) have two or more factors, both of which...
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Thu May 15, 2025 7:04 am
What is the tenths digit in decimal representation of \(x?\)
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What is the tenths digit in decimal representation of \(x?\) 1. \(x\)...
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Thu May 15, 2025 6:37 am