Search found 2343 matches
Combinations, Probability
A semicircle with area of \(x \pi\) is marked by seven points equally spaced along the half arc of the semicircle, such that two of the seven points form the endpoints of the diameter. What is the probability of forming a triangle with an area less than \(x\) from the total number of triangles forme...
- by swerve
Sat Jan 18, 2025 6:19 am- Forum: Problem Solving
- Topic: Combinations, Probability
- Replies: 0
- Views: 29
Probability
A pack of \(12\) cards contains either red or black cards. What is the probability that a card chosen at random will be a red card?
1) The pack has \(6\) more red cards than black cards
2) The pack has \(3\) red cards for every black card
The OA is D
- by swerve
Sat Jan 18, 2025 6:07 am- Forum: Data Sufficiency
- Topic: Probability
- Replies: 0
- Views: 17
A box contains \(6\) black balls and \(4\) white balls. If two balls are selected at random without replacement, what is
Problem Solving
A box contains \(6\) black balls and \(4\) white balls. If two balls are selected at random without replacement, what is
A box contains \(6\) black balls and \(4\) white balls. If two balls are selected at random without replacement, what is the probability that both balls are white?
A. \(7/90\)
B. \(3/25\)
C. \(2/15\)
D. \(4/25\)
E. \(4/9\)
The OA is C
- by swerve
Sat Jan 18, 2025 6:01 am- Forum: Problem Solving
- Topic: A box contains \(6\) black balls and \(4\) white balls. If two balls are selected at random without replacement, what is
- Replies: 0
- Views: 10
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: 177
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: 69
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: 87
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: 128
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: 114
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: 103
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: 89
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: 117
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: 111
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: 103
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: 2
- Views: 129
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: 140