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#### 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 $$B$$ $$75 \,\text{kms}$$ 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{ ... #### To make the school racquetball team, Larry must win at least \(75\%$$ of his matches during tryouts. He must play a

##### To make the school racquetball team, Larry must win at least $$75\%$$ of his matches during tryouts. He must play a

To make the school racquetball team, Larry must win at least $$75\%$$ of his matches during tryouts. He must play a predetermined number of matches, none of which may end in a draw. If Larry wins every one of his remaining matches, he will finish with a winning percentage of exactly $$75\%.$$ How ma...

#### In a promotional offer $$'3+1',$$ a mobile company offers a mobile free on purchase of $$3$$ mobiles. What is the

##### In a promotional offer $$'3+1',$$ a mobile company offers a mobile free on purchase of $$3$$ mobiles. What is the

In a promotional offer $$'3+1',$$ a mobile company offers a mobile free on purchase of $$3$$ mobiles. What is the discount?

A. $$25\%$$
B. $$33.33\%$$
C. $$66.66\%$$
D. $$75\%$$
E. Insufficient data

OA A

#### Four houses are on Block B; from east to west the houses belong to the Joneses, Smiths, Robinsons, and Jacksons. How far

##### Four houses are on Block B; from east to west the houses belong to the Joneses, Smiths, Robinsons, and Jacksons. How far

Four houses are on Block B; from east to west the houses belong to the Joneses, Smiths, Robinsons, and Jacksons. How far is it from the Joneses' house to the Jacksons' house? 1. The distance from the Joneses' house to the Robinsons' house is $$68$$ feet 2. The distance from the Smiths' house to the ...

#### A thrift shop sells pre-owned hardcover books for $$\7$$ each and pre-owned paperback books for $$\5$$ each.

##### A thrift shop sells pre-owned hardcover books for $$\7$$ each and pre-owned paperback books for $$\5$$ each.

A thrift shop sells pre-owned hardcover books for $$\7$$ each and pre-owned paperback books for $$\5$$ each. A customer makes a purchase of both hardcover books and paperback books. Before taxes, the total purchase price of the books is $$\56.$$ How many total books did the customer purchase? A. ...

#### In the rectangular coordinate system, what is the $$x$$-intercept of a line passing through $$(10, 3)$$ and

##### In the rectangular coordinate system, what is the $$x$$-intercept of a line passing through $$(10, 3)$$ and

In the rectangular coordinate system, what is the $$x$$-intercept of a line passing through $$(10, 3)$$ and $$(−6, −5)?$$

A. $$4$$
B. $$2$$
C. $$0$$
D. $$-2$$
E. $$-4$$

OA A

#### While driving in one direction on a straight highway, James moves past three inns - Bethlem Inn, The Antimone and The

##### While driving in one direction on a straight highway, James moves past three inns - Bethlem Inn, The Antimone and The

While driving in one direction on a straight highway, James moves past three inns - Bethlem Inn, The Antimone and The Soliloquy, not necessarily in that order, and then stops at Stoby’s Restaurant for lunch. If the distance between Bethlem Inn and Stoby’s Restaurant is $$90$$ kilometres, what is the...