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Coordinate Geometry

2019-04-09_1418.png
In the figure to the right, the equation of the line is \(y = 9x/10 + k.\) Which one of the following must be true about line segments \(AO\) and \(BO?\)

A. \(AO > BO\)
B. \(AO < BO\)
C. \(AO \leq BO\)
D. \(AO = BO\)
E. \(AO = BO/2\)

The OA is A

by swerve

Thu Jul 18, 2024 4:40 pm
Forum: Problem Solving
Topic: Coordinate Geometry
Replies: 0
Views: 3

Coordinate Geometry, Geometry

Does the graphical representation of the quadratic function \(f(x) = y = ax^2 + c\) intersect with the \(x\)- axis?

1. \(a < 0\)
2. \(c > 0\)

The OA is C

by swerve

Thu Jul 18, 2024 4:25 pm
Forum: Data Sufficiency
Topic: Coordinate Geometry, Geometry
Replies: 0
Views: 3

Coordinate Geometry

Which of the following points in the coordinate plane lies on the line \(y = 2x – 8?\)

I. \((3, -2)\)
II. \((-8, 0)\)
III. \(\left( \dfrac{1}{2}, -7\right)\)

A. I only
B. III only
C. I and II only
D. I and III only
E. I, II, and III

The OA is D

by swerve

Thu Jul 18, 2024 4:19 pm
Forum: Problem Solving
Topic: Coordinate Geometry
Replies: 0
Views: 3

Distance And Speed Problems, Geometry

Two airplanes take off from one airfield at noon. One flies due east at \(200\) miles per hour while the other flies directly northeast at \(283\) miles per hour. Approximately how many miles apart are the airplanes at \(2 p.m.?\)

A. \(166\)
B. \(332\)
C. \(400\)
D. \(483\)
E. \(566\)

The OA is C

by swerve

Wed Jul 10, 2024 5:08 pm
Forum: Problem Solving
Topic: Distance And Speed Problems, Geometry
Replies: 0
Views: 179

Probability

A group of \(30\) people includes men, women and children. If one person is to be chosen at random from the group, is the probability that a man is chosen greater than the probability that a woman is chosen? 1. The probability that a man is chosen is \(50\%\) greater than the probability that a chil...

by swerve

Wed Jul 10, 2024 4:53 pm
Forum: Data Sufficiency
Topic: Probability
Replies: 0
Views: 209

Distance And Speed Problems

A certain train is traveling at a constant rate. If the train travels \(s\) miles in \(t\) hours, in how many hours will the train travel \(y\) miles?

A. \(\dfrac{sy}{t}\)

B. \(\dfrac{st}{y}\)

C. \(\dfrac{ty}{s}\)

D. \(\dfrac{s}{ty}\)

E. \(\dfrac{s+y}{t}\)

The OA is C

by swerve

Wed Jul 10, 2024 4:32 pm
Forum: Problem Solving
Topic: Distance And Speed Problems
Replies: 0
Views: 110

Percent And Interest Problems

How much is \(10\) percent of a number?

1. \(20\) percent of the number is \(40\)

2. \(50\) percent of the number is \(100\)

The OA is D

by swerve

Tue Jul 02, 2024 6:37 am
Forum: Data Sufficiency
Topic: Percent And Interest Problems
Replies: 0
Views: 205

Min-Max Problems, Percent And Interest Problems, Word Problems

Of the \(200\) math majors at a certain university, \(30\) percent will be assigned to advanced calculus on Monday and Wednesday and the remaining \(70\) percent will be assigned to advanced calculus on Tuesday and Thursday. However, \(40\) percent of the math majors prefer Tuesday and Thursday and ...

by swerve

Tue Jul 02, 2024 6:28 am
Forum: Problem Solving
Topic: Min-Max Problems, Percent And Interest Problems, Word Problems
Replies: 0
Views: 15104

Percent And Interest Problems, Word Problems

Jay's net income equals his gross income minus his deductions. By what percent did Jay's net income change as of December \(31\), when both his gross income and his deductions increased? 1. Jay's gross income increased by \(8\) percent on December \(31\) 2. Jay's deductions increased by \(16\) perce...

by swerve

Tue Jul 02, 2024 6:12 am
Forum: Data Sufficiency
Topic: Percent And Interest Problems, Word Problems
Replies: 0
Views: 78

Percent And Interest Problems

In the modern era, the global population of humans has increased by \(1\) billion people approximately every \(13\) years. If that rate were to continue, approximately how many years would it take for the Earth’s population to double from its current population of \(7\) billion people? A. \(26\) B. ...

by swerve

Tue Jul 02, 2024 5:59 am
Forum: Problem Solving
Topic: Percent And Interest Problems
Replies: 0
Views: 89

Arithmetic, Exponents

For which of the following values of \(n\) is \((-0.5)^n\) the greatest?

A. \(5\)
B. \(4\)
C. \(3\)
D. \(2\)
E. \(1\)

The OA is D

by swerve

Sat Jun 15, 2024 3:11 pm
Forum: Problem Solving
Topic: Arithmetic, Exponents
Replies: 0
Views: 211

Geometry

123.jpg
If \(wxyz ≠ 0\), in what quadrant of the coordinate system above does point \((x, y)\) lie?

1) \((x, z)\) lies in quadrant I

2) \((w, y)\) lies in quadrant III

The OA is C

by swerve

Sat Jun 15, 2024 2:54 pm
Forum: Data Sufficiency
Topic: Geometry
Replies: 0
Views: 146

Exponents, Multiples And Factors

What is the greatest integer, \(k\), such that \(5^k\) is a factor of the product of the integers from \(1\) through \(24\), inclusive?

A. \(1\)
B. \(2\)
C. \(3\)
D. \(4\)
E. \(5\)

The OA is D

by swerve

Sat Jun 15, 2024 2:46 pm
Forum: Problem Solving
Topic: Exponents, Multiples And Factors
Replies: 0
Views: 558

Arithmetic

A team played more than \(50\) and less than \(60\) matches in an entire year. Each match ended in either a win or a loss for this team. Did this team play more than \(55\) matches in that year? 1) The team won \(2/3\) of the first \(1/3\) of its matches played during the year 2) Out of its latter h...

by swerve

Sun Jun 09, 2024 2:12 pm
Forum: Data Sufficiency
Topic: Arithmetic
Replies: 0
Views: 189

Arithmetic, Number Properties

If \(3^k\) is a divisor of the product of all even integers between \(2\) and \(30\) (inclusive), what is the maximum value of \(k?\)

A. \(4\)
B. \(6\)
C. \(10\)
D. \(13\)
E. \(14\)

The OA is B

by swerve

Sun Jun 09, 2024 2:05 pm
Forum: Problem Solving
Topic: Arithmetic, Number Properties
Replies: 0
Views: 248