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Word Problems

There were \(P\) people in a room when a meeting started. \(Q\) people left the room during the first hour, while \(R\) people entered the room during the same time. What expression gives the number of people in the room after the first hour as a percentage of the number of people in the room who ha...

by swerve

Thu Aug 01, 2024 4:32 pm
Forum: Problem Solving
Topic: Word Problems
Replies: 0
Views: 319

Word Problems

A box of chocolates has \(15\) rows with \(10\) spaces for chocolates in each row, how many chocolates are in the box? 1. There is an average (arithmetic mean) of \(6\) empty spaces in the first \(6\) rows 2. There is an average (arithmetic mean) of \(9\) empty spaces in the last \(9\) rows The OA i...

by swerve

Thu Aug 01, 2024 4:15 pm
Forum: Data Sufficiency
Topic: Word Problems
Replies: 0
Views: 268

Word Problems

A company can sell \(100x\) machine parts if it charges \(10 - 0.1x\) dollars for each machine part. How many machine parts can the company sell if it charges \(\$4.00\) for each machine part?

A. \(6\)
B. \(9.6\)
C. \(60\)
D. \(960\)
E. \(6,000\)

The OA is E

by swerve

Thu Aug 01, 2024 4:03 pm
Forum: Problem Solving
Topic: Word Problems
Replies: 0
Views: 325

Geometry

inscribedsquare.jpg
Rectangle \(ABCD\) is inscribed in circle \(P.\) What is the area of circle \(P?\)

1. The area of rectangle \(ABCD\) is \(100\)

2. Rectangle \(ABCD\) is a square

The OA is C

by swerve

Tue Jul 23, 2024 3:58 pm
Forum: Data Sufficiency
Topic: Geometry
Replies: 0
Views: 386

Geometry

2017-09-01_1134_003.png
How many different line segments can be drawn to connect all possible pairs of points shown above?

A. \(32\)
B. \(25\)
C. \(20\)
D. \(10\)
E. \(5\)

The OA is D

by swerve

Tue Jul 23, 2024 3:47 pm
Forum: Problem Solving
Topic: Geometry
Replies: 1
Views: 379

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: 369

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: 415

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: 353

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: 871

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: 2620

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: 23887

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: 1237

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: 33489

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: 1015

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: 28780