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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: 14

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: 13

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: 12

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: 37

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: 35

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: 33

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: 36

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: 27

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: 100

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: 64

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: 598

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: 267

Graphs And Illustrations

1.jpg
In which year did sales increase by the greatest percentage over the previous year?

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: 229

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: 294

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...