## Search found 2227 matches

#### Eight times one-third of a number is one greater than five times one-half of that number. What is that number?

##### Eight times one-third of a number is one greater than five times one-half of that number. What is that number?

Eight times one-third of a number is one greater than five times one-half of that number. What is that number?

A. $$3$$
B. $$6$$
C. $$8$$
D. $$9$$
E. $$12$$

The OA is B

#### A clothing store acquired an item at a cost of $$x$$ dollars and sold the item for $$y$$ dollars. The store’s gross

##### A clothing store acquired an item at a cost of $$x$$ dollars and sold the item for $$y$$ dollars. The store’s gross

A clothing store acquired an item at a cost of $$x$$ dollars and sold the item for $$y$$ dollars. The store’s gross profit from the item was what percent of its cost for the item?

1) $$y - x = 20$$
2) $$y/x = 5 / 4$$

The OA is B

#### If two nonzero positive integers $$p$$ and $$q$$ are such that $$p=4q$$ and $$q<8,$$ then $$q=$$

##### If two nonzero positive integers $$p$$ and $$q$$ are such that $$p=4q$$ and $$q<8,$$ then $$q=$$

If two nonzero positive integers $$p$$ and $$q$$ are such that $$p=4q$$ and $$p < 8,$$ then $$q=$$

A. $$1$$
B. $$2$$
C. $$3$$
D. $$4$$
E. $$5$$

The OA is A

#### A coach will select the members of a $$5$$-players team from $$9$$ players, including $$A$$ and $$B$$. If the $$5$$

##### A coach will select the members of a $$5$$-players team from $$9$$ players, including $$A$$ and $$B$$. If the $$5$$

A coach will select the members of a $$5$$-players team from $$9$$ players, including $$A$$ and $$B$$. If the $$5$$ players are chosen at random, What is the probability that the coach chooses a team that includes both $$A$$ and $$B?$$ A. $$\dfrac{1}{9}$$ B. $$\dfrac{1}{6}$$ C. $$\dfrac{2}{9}$$ D. \...

#### In a classroom, one student is to be selected at random to solve a question. What is the probability that a girl will be

##### In a classroom, one student is to be selected at random to solve a question. What is the probability that a girl will be

In a classroom, one student is to be selected at random to solve a question. What is the probability that a girl will be selected?

1) Two-fifths of the students in the classroom are boys

2) $$15$$ of the students in the classroom are boys

The OA is A

#### A jar contains $$6$$ chocolate candies and $$4$$ mint candies. If Ben reaches into the jar to draw and eat two candies

##### A jar contains $$6$$ chocolate candies and $$4$$ mint candies. If Ben reaches into the jar to draw and eat two candies

A jar contains $$6$$ chocolate candies and $$4$$ mint candies. If Ben reaches into the jar to draw and eat two candies at random, what is the probability that he eats two chocolate candies?

A. $$1/2$$
B. $$1/3$$
C. $$2/9$$
D. $$1/6$$
E. $$1/9$$

The AO is B

#### The average of a series of consecutive integers is an even integer. Which of the following could be true?

##### The average of a series of consecutive integers is an even integer. Which of the following could be true?

The average of a series of consecutive integers is an even integer. Which of the following could be true? I. There is an even number of integers in the series. II. The smallest number in the series is odd. III. The product of the smallest and largest number in the series is odd. A. I only B. II only...

#### The average of a series of consecutive integers is an even integer. Which of the following could be true?

##### The average of a series of consecutive integers is an even integer. Which of the following could be true?

What is the tens digit of two-digit positive integer$$w?$$

1) The tens digit of $$2w$$ is equal to the tens digit of $$w$$

2) The sum of the digits of $$w+5$$ is $$5$$

The OA is A

Joseph's final grade is calculated from the mean of his test scores. His teacher also allows them to drop the lowest score before calculating the final grade. If Joseph received a $$(67, 82, 73, 91, 77,$$ and$$, 75)$$ on his tests, what was his final grade rounded to the nearest whole number? A. $$7... #### What is the remainder when \(2^{28}$$ is divided by $$3?$$

##### What is the remainder when $$2^{28}$$ is divided by $$3?$$

What is the remainder when $$2^{28}$$ is divided by $$3?$$

A. $$1$$
B. $$2$$
C. $$3$$
D. $$4$$
E. $$5$$

The OA is A

by BTGmoderatorLU

Wed May 15, 2024 3:07 pm
Forum: Problem Solving
Topic: What is the remainder when $$2^{28}$$ is divided by $$3?$$
Replies: 0
Views: 41

#### When positive integer $$y$$ is divided by $$51,$$ the remainder is $$x.$$ What is the remainder when $$y$$ is divided by

##### When positive integer $$y$$ is divided by $$51,$$ the remainder is $$x.$$ What is the remainder when $$y$$ is divided by

When positive integer $$y$$ is divided by $$51,$$ the remainder is $$x.$$ What is the remainder when $$y$$ is divided by $$17?$$

1. When $$y$$ is divided by $$34$$ the remainder is zero

2. $$x=17$$

The OA is D

#### When $$n$$ is divided by $$24,$$ the remainder is $$5.$$ What is the remainder when $$3n$$ is divided by $$8?$$

##### When $$n$$ is divided by $$24,$$ the remainder is $$5.$$ What is the remainder when $$3n$$ is divided by $$8?$$

When $$n$$ is divided by $$24,$$ the remainder is $$5.$$ What is the remainder when $$3n$$ is divided by $$8?$$

A. $$3$$
B. $$4$$
C. $$5$$
D. $$6$$
E. $$7$$

OA E

#### A car drives $$40$$ miles on local roads at $$20 \text{ mph,}$$ and $$180$$ miles on the highway at $$60 \text{ mph},$$

##### A car drives $$40$$ miles on local roads at $$20 \text{ mph,}$$ and $$180$$ miles on the highway at $$60 \text{ mph},$$

A car drives $$40$$ miles on local roads at $$20 \text{ mph,}$$ and $$180$$ miles on the highway at $$60 \text{ mph},$$ what is the average speed of the entire trip?

A. $$36 \text{ mph}$$
B. $$40 \text{ mph}$$
C. $$44 \text{ mph}$$
D. $$52 \text{ mph}$$
E. $$58 \text{ mph}$$

The OA is C

#### What distance did Marty drive?

##### What distance did Marty drive?

What distance did Marty drive?

1. Wendy drove $$15$$ miles in $$20$$ minutes

2. Marty drove at the same average speed as Wendy.

The OA is E

by BTGmoderatorLU

Sat May 11, 2024 6:03 pm
Forum: Data Sufficiency
Topic: What distance did Marty drive?
Replies: 0
Views: 51

#### Two cyclists, $$A$$ and $$B,$$ are $$145$$ miles apart on a straight road. At $$1{:}30 \text{ p.m.},$$ cyclist $$A$$

##### Two cyclists, $$A$$ and $$B,$$ are $$145$$ miles apart on a straight road. At $$1{:}30 \text{ p.m.},$$ cyclist $$A$$

Two cyclists, $$A$$ and $$B,$$ are $$145$$ miles apart on a straight road. At $$1{:}30 \text{ p.m.},$$ cyclist $$A$$ begins riding at a constant speed of $$20$$ miles per hour toward cyclist $$B.$$ At $$2{:}00 \text{ p.m.},$$ cyclist $$B$$ begins riding toward cyclist $$A$$ at a constant speed. At \...