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Absolute Values, Coordinate Geometry
What is the area of the region bounded by the curves \(y=|x−1|\) and \(y=|3|-|x|?\)
A. \(2\) units\(^2\)
B. \(3\) units\(^2\)
C. \(4\) units\(^2\)
D. \(5\) units\(^2\)
E. \(6\) units\(^2\)
The OA is C
- by swerve
Fri Jan 10, 2025 2:23 pm- Forum: Problem Solving
- Topic: Absolute Values, Coordinate Geometry
- Replies: 0
- Views: 61
Absolute Values, Number Properties
\(P\) is a set of integers. If \(a\) is the average of the odd integers and \(b\) is the average of the even integers in set \(P,\) what is the of \(|a-b|?\)
1. \(P\) consists of consecutive integers starting from \(1\)
2. There are not more than \(50\) integers in the set \(P\)
The OA is E
- by swerve
Fri Jan 10, 2025 2:10 pm- Forum: Data Sufficiency
- Topic: Absolute Values, Number Properties
- Replies: 0
- Views: 28
Absolute Values, Number Properties
Given that, \(M\) and \(P\) are integers with unknown signs. Which of the following information can be used to determine the signs of \(M\) and \(P?\) For example, the sign of \(-3\) is negative, while the sign of \(8\) is positive. I. \(|M| + |P| = |M+P|\) II. \(|M-P|=|P-M|\) III. \(|M|-|P|=|M-P|\)...
- by swerve
Fri Jan 10, 2025 1:58 pm- Forum: Problem Solving
- Topic: Absolute Values, Number Properties
- Replies: 0
- Views: 36
Work and Rate Problems
If it takes Patrick \(4\) hours to paint a room, how long did it take Patrick and Roger working together?
1. It takes Roger twice as long to paint the same room
2. Patrick painted the room from \(10\) a.m. to \(2\) p.m.
The OA is A
- by swerve
Fri Jan 03, 2025 8:14 am- Forum: Data Sufficiency
- Topic: Work and Rate Problems
- Replies: 0
- Views: 74
Work and Rate Problems
It takes Alpha \(6\) hours to build a shelf. Beta can do the same work twice as fast. How many shelves can Alpha and Beta, working together, build in a \(24\)-hour period?
A. \(10\)
B. \(11\)
C. \(12\)
D. \(13\)
E. \(14\)
The OA is C
- by swerve
Fri Jan 03, 2025 8:08 am- Forum: Problem Solving
- Topic: Work and Rate Problems
- Replies: 0
- Views: 52
Work and Rate Problems
If Bob, working alone, can paint a certain room in \(3\) hours, how long does it take Bob and Richard working together to paint the room? 1. Richard, working alone, can paint the room in \(2\) hours 2. Richard paints at a constant rate that is \(50\%\) greater than the rate at which Bob paints The O...
- by swerve
Fri Jan 03, 2025 7:59 am- Forum: Data Sufficiency
- Topic: Work and Rate Problems
- Replies: 0
- Views: 51
Work and Rate Problems
\(A\) and \(B\) can do a piece of work in \(45\) days and \(40\) days respectively. They began to do the work together but \(A\) leaves after some days and then \(B\) completed the remaining work in \(23\) days. The number of days after which \(A\) left the work was A. \(12\) B. \(11\) C. \(10\) D. ...
- by swerve
Fri Jan 03, 2025 7:45 am- Forum: Problem Solving
- Topic: Work and Rate Problems
- Replies: 0
- Views: 39
Combinations
A company makes and sells two products, \(A,\) and \(B.\) The costs per unit of making and selling \(A\) and \(B\) are \(\$8.00\) and \(\$9.50,\) respectively, and the selling prices per unit of \(A\) and \(B\) are \(\$10.00\) and \(\$12.00,\) respectively. In one month the company sold a total of \...
- by swerve
Sun Dec 29, 2024 11:12 am- Forum: Data Sufficiency
- Topic: Combinations
- Replies: 0
- Views: 63
Combinations
The kindergarten teacher has \(25\) kids in her class. She takes \(5\) of them at a time, to the zoological garden as often as she can, without taking the same \(5\) kids more than once. Then the number of visits, the teacher makes to the garden exceeds that of a kid by: A. \(25C5 – 24C5\) B. \(24C5...
- by swerve
Sun Dec 29, 2024 11:01 am- Forum: Problem Solving
- Topic: Combinations
- Replies: 0
- Views: 53
Combinations
A number of students have to be selected from a class of \(25\) students to form a group. What is the number of students in the group? 1. The number of possible selections of the students to form the group is the largest possible value 2. The number of students selected is less than \(50\) percent o...
- by swerve
Sun Dec 29, 2024 10:53 am- Forum: Data Sufficiency
- Topic: Combinations
- Replies: 0
- Views: 51
Combinations
How many different \(11-\)letter arrangements are possible with the letters \(aabbbbccccc?\)
A. \(11\)
B. \(45\)
C. \(90\)
D. \(6930\)
E. \(11!\)
The OA is D
- by swerve
Sun Dec 29, 2024 10:44 am- Forum: Problem Solving
- Topic: Combinations
- Replies: 1
- Views: 59
Arithmetic
What is the difference between the number of chocolates with Alice and Bob, if each of them has at least one chocolate and Alice has \(25\%\) more chocolates than Bob? 1) Together Alice and Bob have less than \(30\) but more than \(20\) chocolates 2) Difference between the squares of number of choco...
- by swerve
Fri Dec 20, 2024 5:41 am- Forum: Data Sufficiency
- Topic: Arithmetic
- Replies: 0
- Views: 82
Arithmetic, Min-Max Problems
In a six-digit number, the sixth, that is, the rightmost, digit is the sum of the first three digits, the fifth digit is the sum of first two digits, the third digit is equal to the first digit, the second digit is twice the first digit and the fourth digit is the sum of fifth and sixth digits. What...
- by swerve
Fri Dec 20, 2024 5:33 am- Forum: Problem Solving
- Topic: Arithmetic, Min-Max Problems
- Replies: 0
- Views: 81
Arithmetic
What day is the fourteenth of a given month?
1) The last day of the month is Wednesday
2) The third Saturday of the month was seventeenth
The OA B
- by swerve
Fri Dec 20, 2024 5:19 am- Forum: Data Sufficiency
- Topic: Arithmetic
- Replies: 0
- Views: 72
A violinist practices one hour a day from Monday through Friday. How many hours must she practice on Saturday in order
Problem Solving
A violinist practices one hour a day from Monday through Friday. How many hours must she practice on Saturday in order
A violinist practices one hour a day from Monday through Friday. How many hours must she practice on Saturday in order to have an average (arithmetic mean) of two hours a day for the six-day period?
A. \(5\)
B. \(6\)
C. \(7\)
D. \(8\)
E. \(12\)
The OA is C
- by swerve
Fri Dec 20, 2024 5:12 am- Forum: Problem Solving
- Topic: A violinist practices one hour a day from Monday through Friday. How many hours must she practice on Saturday in order
- Replies: 0
- Views: 77