## Search found 2313 matches

#### Cena has a bag of $$6$$ candies, $$4$$ of which are sweet $$\&$$ $$2$$ of which are sour. Cena picks two candies

##### Cena has a bag of $$6$$ candies, $$4$$ of which are sweet $$\&$$ $$2$$ of which are sour. Cena picks two candies

Cena has a bag of $$6$$ candies, $$4$$ of which are sweet $$\&$$ $$2$$ of which are sour. Cena picks two candies simultaneously $$\&$$ at random. What is the chance that exactly $$1$$ of the candies he has picked is sour?

A. $$3/5$$
B. $$7/18$$
C. $$8/15$$
D. $$4/10$$
E. $$5/12$$

OA C

#### If $$n$$ is a positive integer, which of the following must be even?

##### If $$n$$ is a positive integer, which of the following must be even?

If $$n$$ is a positive integer, which of the following must be even?

A. $$(n − 1)( n + 1)$$
B. $$(n − 2)( n + 1)$$
C. $$(n − 2)( n + 4)$$
D. $$(n − 3)( n + 1)$$
E. $$(n − 3)( n + 5)$$

OA B

by AAPL

Fri Aug 16, 2024 4:06 pm
Forum: Problem Solving
Topic: If $$n$$ is a positive integer, which of the following must be even?
Replies: 0
Views: 429

#### If $$\Delta$$ represents either ordinary division or ordinary multiplication, which does it represent?

##### If $$\Delta$$ represents either ordinary division or ordinary multiplication, which does it represent?

If $$\Delta$$ represents either ordinary division or ordinary multiplication, which does it represent?

1. $$3 \Delta 1 = 3$$

2. $$0 \Delta 3 = 0$$

OA E

#### If $$x$$ is an integer, which of the following must be an even integer?

##### If $$x$$ is an integer, which of the following must be an even integer?

If $$x$$ is an integer, which of the following must be an even integer?

A. $$(x+1)^2$$
B. $$(x+1)(x+2)$$
C. $$(x+1)(x+3)$$
D. $$(x+2)^2$$
E. $$(x+2)(x+4)$$

OA B

by AAPL

Fri Aug 16, 2024 3:45 pm
Forum: Problem Solving
Topic: If $$x$$ is an integer, which of the following must be an even integer?
Replies: 0
Views: 241

#### What is the ratio of houses with smoke alarms to houses without smoke alarms on Gleaner Street?

##### What is the ratio of houses with smoke alarms to houses without smoke alarms on Gleaner Street?

What is the ratio of houses with smoke alarms to houses without smoke alarms on Gleaner Street?

1. On Gleaner Street, $$7/18$$ of the houses do not have smoke alarms
2. There are $$90$$ houses on Gleaner Street

OA A

#### What is the product of the greatest prime factor of $$160$$ and the greatest prime factor of $$168?$$

##### What is the product of the greatest prime factor of $$160$$ and the greatest prime factor of $$168?$$

What is the product of the greatest prime factor of $$160$$ and the greatest prime factor of $$168?$$

A. $$4$$
B. $$15$$
C. $$35$$
D. $$80$$
E. $$336$$

OA C

#### What is the remainder when the sum of the positive integers $$x$$ and $$y$$ is divided by $$6?$$

##### What is the remainder when the sum of the positive integers $$x$$ and $$y$$ is divided by $$6?$$

What is the remainder when the sum of the positive integers $$x$$ and $$y$$ is divided by $$6?$$

1. When $$x$$ is divided by $$6,$$ the remainder is $$3$$

2. When $$y$$ is divided by $$6,$$ the remainder is $$1$$

OA C

#### There are three blue marbles, three red marbles, and three yellow marbles in a bowl. What is the probability of

##### There are three blue marbles, three red marbles, and three yellow marbles in a bowl. What is the probability of

There are three blue marbles, three red marbles, and three yellow marbles in a bowl. What is the probability of selecting a blue marble from the bowl on each of three successive draws from the bowl?

A. $$2/243$$
B. $$1/27$$
C. $$1/84$$
D. $$2/9$$
E. $$5/21$$

OA C

#### Total amount collected from an officer for a charity cause was $$\250.$$ If each employee contributed either $$\20$$

##### Total amount collected from an officer for a charity cause was $$\250.$$ If each employee contributed either $$\20$$

Total amount collected from an officer for a charity cause was $$\250.$$ If each employee contributed either $$\20$$ or $$\25,$$ how many employees contributed $$\20?$$ 1. The number of employees in the office is $$11$$ 2. The number of employees who gave $$\25$$ was $$1$$ more than the number ...

#### Each student in a certain class is considered intermediate or strong, but not both. The average of the grades of the

##### Each student in a certain class is considered intermediate or strong, but not both. The average of the grades of the

Each student in a certain class is considered intermediate or strong, but not both. The average of the grades of the strong students is $$6.3$$ points, exactly two points above the average of the grades of the intermediate students. What is the percentage of strong students in this class, if the ave...

#### A pizza recipe calls for cheese and flour in the ratio of $$2$$ grams to $$1$$ gram, respectively. If cheese and flour

##### A pizza recipe calls for cheese and flour in the ratio of $$2$$ grams to $$1$$ gram, respectively. If cheese and flour

A pizza recipe calls for cheese and flour in the ratio of $$2$$ grams to $$1$$ gram, respectively. If cheese and flour are the only ingredients in the recipe, how many grams of cheese are used when making a pizza? 1. The pizza requires $$33$$ grams of ingredients 2. The ratio of the number of grams ...

#### If a grocer mixes $$5$$ pounds of egg noodles costing $$\0.80$$ per pound with $$2$$ pounds of spinach noodles costing

##### If a grocer mixes $$5$$ pounds of egg noodles costing $$\0.80$$ per pound with $$2$$ pounds of spinach noodles costing

If a grocer mixes $$5$$ pounds of egg noodles costing $$\0.80$$ per pound with $$2$$ pounds of spinach noodles costing $$\1.50$$ per pound, what will be the cost per pound of the new mixture be?

A. $$\1.00$$
B. $$\1.15$$
C. $$\1.30$$
D. $$\1.45$$
E. $$\7.00$$

OA A

Andrew drove from $$A$$ to $$B$$ at $$60$$ miles per hour. Then he realized that he had forgotten something at $$A$$, and drove back at $$80$$ miles per hour. He then zipped back to $$B$$ at $$90 \,\text{mph}$$. What was his approximate average speed in miles per hour for the entire trip? A. $$65 \,... #### Two trains, \(Q$$ and $$P$$, are traveling on straight and parallel tracks. $$Q$$ and $$P$$ are traveling at different

##### Two trains, $$Q$$ and $$P$$, are traveling on straight and parallel tracks. $$Q$$ and $$P$$ are traveling at different

Two trains, $$Q$$ and $$P$$, are traveling on straight and parallel tracks. $$Q$$ and $$P$$ are traveling at different constant rates. If train $$Q$$ is now $$3$$ miles ahead of train $$P$$, in how many minutes will train $$Q$$ be $$6$$ miles ahead of train $$P?$$ 1. Train $$Q$$ is traveling at a sp...

#### A train can travel $$50\%$$ faster than a car. Both start from point $$A$$ at the same time and reach point $$B$$

##### A train can travel $$50\%$$ faster than a car. Both start from point $$A$$ at the same time and reach point $$B$$

A train can travel $$50\%$$ faster than a car. Both start from point $$A$$ at the same time and reach point $$B$$ $$75 \,\text{kms}$$ away from $$A$$ at the same time. On the way, however, the train lost about $$12.5$$ minutes while stopping at the stations. The speed of the car is: A. \(100 \text{ ...