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Coordinate Geometry
In a rectangular coordinate system, what is the area of a rectangle whose vertices have the coordinates \((-4, 1), (1, 1), (1, -3)\) and \((-4, -3)?\)
A. \(16\)
B. \(20\)
C. \(24\)
D. \(25\)
E. \(30\)
The OA is B
- by swerve
Sat May 25, 2024 9:58 am- Forum: Problem Solving
- Topic: Coordinate Geometry
- Replies: 0
- Views: 6
Coordinate Geometry
Does the parabola \(y=mx^2+4mnx+4n,\) where \(m\) and \(n\) are constants, intersect the \(x\)-axis?
1. \(mn > 1\)
2. \(m > n\)
The OA is A
- by swerve
Sat May 25, 2024 9:46 am- Forum: Data Sufficiency
- Topic: Coordinate Geometry
- Replies: 0
- Views: 6
Coordinate Geometry
What is the shortest distance between the following \(2\) lines: \(x + y = 3\) and \(2x + 2y = 8?\)
A. \(0\)
B. \(1/4\)
C. \(1/2\)
D. \(\sqrt{2}/2\)
E. \(\sqrt{2}/4\)
The OA is D
- by swerve
Sat May 25, 2024 9:35 am- Forum: Problem Solving
- Topic: Coordinate Geometry
- Replies: 0
- Views: 5
Distance Problems
A stretch of land measuring \(50 \text{ m}\) in length is covered with wall on sides. If \(2*2 *2 \text{ m}\) boxes are to placed at equal interval of \(5\text{ m}\) from each other and at least \(5 \text{ m}\) from the walls, how many boxes can be placed in entire length of \(50\text{ m}?\) A. \(6\...
- by swerve
Sun May 19, 2024 2:17 pm- Forum: Problem Solving
- Topic: Distance Problems
- Replies: 0
- Views: 24
Word Problems
Did Jennifer spend more than \(x\) dollars at her favorite sushi restaurant, including the tip?
1) Jennifer left a tip equal to \(20\) percent of the cost of the meal
2) Jennifer's meal cost \((x - 10)\) dollars excluding the tip
The OA is E
- by swerve
Sun May 19, 2024 2:01 pm- Forum: Data Sufficiency
- Topic: Word Problems
- Replies: 0
- Views: 25
Word Problems
In country \(X\) a returning tourist may import goods with a total value of \(\$600\) or less tax free, but must pay a \(15\) percent tax on the portion of the total value in excess of \(\$600.\) What tax must be paid by a returning tourist who imports good with a total value of \(\$870?\) A. \(\$35...
- by swerve
Sun May 19, 2024 1:47 pm- Forum: Problem Solving
- Topic: Word Problems
- Replies: 0
- Views: 23
Probability
A bag contains \(r\) red, \(g\) green, and \(w\) white marbles, where \(r, g\) and \(w\) are all positive integers. If one marble is picked randomly, is the probability that the marble is red higher than the probability that the marble is either green or white? 1) The probability of selecting a gree...
- by swerve
Sun May 12, 2024 9:12 am- Forum: Data Sufficiency
- Topic: Probability
- Replies: 0
- Views: 27
Overlapping Sets
All but \(4\) of the counselors on staff at a certain summer camp have sailing certification, first aid certification, or both. Twice as many counselors have neither certification as have both certifications, and \(7\) counselors have sailing certification. If there are a total of \(22\) counselors ...
- by swerve
Sun May 12, 2024 8:53 am- Forum: Problem Solving
- Topic: Overlapping Sets
- Replies: 0
- Views: 18
Arithmetic, Statistics And Sets Problems
What is the median of a set of seven different positive integers?
1) The range of the set is 6
2) The arithmetic mean of the set is 4
The OA is B
- by swerve
Sun May 05, 2024 9:58 am- Forum: Data Sufficiency
- Topic: Arithmetic, Statistics And Sets Problems
- Replies: 0
- Views: 68
Arithmetic
For which of the following expressions would the value be less if \(350\) were replaced by \(347?\)
I. \(2,500 - 350\)
II. \(\dfrac{1}{350}\)
III. \(\dfrac{1}{1+\dfrac{1}{350}}\)
A. None
B. II only
C. III only
D. I and III
E. II and III
The OA is C
- by swerve
Sun May 05, 2024 9:45 am- Forum: Problem Solving
- Topic: Arithmetic
- Replies: 0
- Views: 51
Arithmetic
\(\begin{array}{|c|c|c|} \hline w & x & z \\ \hline a & b & c \\ \hline k & l & m \\ \hline \end{array}\) In the diagram above, each of the letters represents one of the digits between \(5\) and \(9,\) not inclusive. If each row and each column must be filled with distinct di...
- by swerve
Fri Apr 26, 2024 5:00 pm- Forum: Data Sufficiency
- Topic: Arithmetic
- Replies: 0
- Views: 581
Arithmetic
If the sum of four consecutive even integers is \(44,\) what is the value of the second-largest integer in the set?
A. \(10\)
B. \(12\)
C. \(14\)
D. \(16\)
E. \(18\)
The OA is B
- by swerve
Fri Apr 26, 2024 4:34 pm- Forum: Problem Solving
- Topic: Arithmetic
- Replies: 0
- Views: 248
Graphs And Illustrations
A. \(86\)
B. \(87\)
C. \(88\)
D. \(89\)
E. \(90\)
The OA is C
- by swerve
Sat Apr 20, 2024 12:10 pm- Forum: Problem Solving
- Topic: Graphs And Illustrations
- Replies: 0
- Views: 223
Algebra
If \(x\) and \(y\) are positive integers, what is value of \(x?\)
1. \(5x + 4y = 19\)
2. \(x + y = 4\)
The OA is A
- by swerve
Sat Apr 20, 2024 11:49 am- Forum: Data Sufficiency
- Topic: Algebra
- Replies: 0
- Views: 249
A launched \(3\) products in the year \(2007\) and earns income from the sales of the products only. The top graph shows
Problem Solving
A launched \(3\) products in the year \(2007\) and earns income from the sales of the products only. The top graph shows
2019-07-24_1647.png A launched \(3\) products in the year \(2007\) and earns income from the sales of the products only. The top graph shows his monthly earnings for the year. B's earnings consist of continuously growing salary, growing by the same amount each month as shown in the figure. Which on...
- by swerve
Sat Apr 20, 2024 11:35 am- Forum: Problem Solving
- Topic: A launched \(3\) products in the year \(2007\) and earns income from the sales of the products only. The top graph shows
- Replies: 0
- Views: 191