## Search found 2266 matches

#### Word Problems

##### 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: 15

#### Word Problems

##### 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: 13

#### Word Problems

##### 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: 14

#### Geometry

##### Geometry

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: 102

#### Geometry

##### Geometry

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: 0
Views: 60

#### Coordinate Geometry

##### Coordinate Geometry

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: 60

#### Coordinate Geometry, Geometry

##### 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: 139

#### Coordinate Geometry

##### 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: 49

#### Distance And Speed Problems, Geometry

##### 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: 353

#### Probability

##### 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: 2051

#### Distance And Speed Problems

##### 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: 23529

#### Percent And Interest Problems

##### 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: 256

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

##### 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: 29299

#### Percent And Interest Problems, Word Problems

##### 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: 217

#### Percent And Interest Problems

##### 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: 23407