## Search found 2244 matches

#### How many numbers between $$300$$ and $$500$$ are divisible by $$13?$$

##### How many numbers between $$300$$ and $$500$$ are divisible by $$13?$$

How many numbers between $$300$$ and $$500$$ are divisible by $$13?$$

A. $$13$$
B. $$14$$
C. $$15$$
D. $$16$$
E. $$17$$

OA C

by AAPL

Wed Mar 06, 2024 4:02 pm
Forum: Problem Solving
Topic: How many numbers between $$300$$ and $$500$$ are divisible by $$13?$$
Replies: 0
Views: 23

#### If $$x$$ and $$y$$ are nonzero integers, what is the ratio of $$3y$$ to $$x?$$

##### If $$x$$ and $$y$$ are nonzero integers, what is the ratio of $$3y$$ to $$x?$$

If $$x$$ and $$y$$ are nonzero integers, what is the ratio of $$3y$$ to $$x?$$

1) $$8x^3 = 27y^3$$

2) $$4x^2 = 9y^2$$

OA A

by AAPL

Fri Mar 01, 2024 10:58 am
Forum: Data Sufficiency
Topic: If $$x$$ and $$y$$ are nonzero integers, what is the ratio of $$3y$$ to $$x?$$
Replies: 0
Views: 24

#### If $$x \neq –1$$ and $$y \neq \pm 1,$$ then what is the value of

##### If $$x \neq –1$$ and $$y \neq \pm 1,$$ then what is the value of

If $$x \neq –1$$ and $$y \neq \pm 1,$$ then what is the value of $$\dfrac{(xy)^2-x^2}{(x+1)(y^2-1)}?$$

1) $$x={3}/{2}$$
2) $$y=2$$

OA A

by AAPL

Fri Mar 01, 2024 10:48 am
Forum: Data Sufficiency
Topic: If $$x \neq –1$$ and $$y \neq \pm 1,$$ then what is the value of
Replies: 0
Views: 19

#### If $$x, y,$$ and $$z$$ are distinct positive integers, is $$x(y-z)$$ less than $$y(x-z)?$$

##### If $$x, y,$$ and $$z$$ are distinct positive integers, is $$x(y-z)$$ less than $$y(x-z)?$$

If $$x, y,$$ and $$z$$ are distinct positive integers, is $$x(y-z)$$ less than $$y(x-z)?$$

1) $$y > x$$
2) $$x > z$$

OA A

#### Tom's Mom is five times as old as him. In $$6$$ years Tom's Mom will be three times as old as him. How old is Tom now?

##### Tom's Mom is five times as old as him. In $$6$$ years Tom's Mom will be three times as old as him. How old is Tom now?

Tom's Mom is five times as old as him. In $$6$$ years, Tom's Mom will be three times as old as him. How old is Tom now?

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

OA D

#### What is the minimum area of cardboard required to make a rectangular box with no top?

##### What is the minimum area of cardboard required to make a rectangular box with no top?

What is the minimum area of cardboard required to make a rectangular box with no top?

1) The area of the bottom of the box is $$23$$ square feet

2) The volume of the box is $$23$$ cubic feet

OA E

#### In the figure above, $$JKLMN$$ is a regular pentagon. Find the measure of $$\angle{KQL}$$

##### In the figure above, $$JKLMN$$ is a regular pentagon. Find the measure of $$\angle{KQL}$$

In the figure above, $$JKLMN$$ is a regular pentagon. Find the measure of $$\angle{KQL}$$

A. $$45$$
B. $$48$$
C. $$51$$
D. $$54$$
E. $$60$$

OA D

#### Two tanget circles $$A$$ and $$B$$ have radii $$r1$$ and $$r2,$$ respectively. What is the distance between their

##### Two tanget circles $$A$$ and $$B$$ have radii $$r1$$ and $$r2,$$ respectively. What is the distance between their

Two circles $$A$$ and $$B$$ have radii $$r1$$ and $$r2,$$ respectively. What is the distance between their centers?

1) $$r1=3\,\text{inches}$$
2) $$r2=5\,\text{inches}$$

OA E

#### There is a square filed of $$500\,\text{m}$$ long each. It has a compound wall along its perimeter. At one of its

##### There is a square filed of $$500\,\text{m}$$ long each. It has a compound wall along its perimeter. At one of its

There is a square field of side $$500\,\text{m}$$ long each. It has a compound wall along its perimeter. At one of its corners, a triangular area of the field is to be cordoned off by erecting a straight-line fence. The compound wall and the fence will form its borders. If the length of the fence is...

#### A comics bookstore has comics of only Superman, Batman and Flash. What percent of all comics in the store is on Batman?

##### A comics bookstore has comics of only Superman, Batman and Flash. What percent of all comics in the store is on Batman?

A comics bookstore has comics of only Superman, Batman and Flash. What percent of all comics in the store is on Batman?

1) The ratio of the number comics of Flash, Batman, and Superman, in the library, is $$2{:}7{:}5$$
2) There are $$14$$ Batman comics in the library

OA A

#### The number line above shows the position of a point that has coordinate $$x.$$ Which of the following statements about

##### The number line above shows the position of a point that has coordinate $$x.$$ Which of the following statements about

The number line above shows the position of a point that has coordinate x. Which of the following statements about x must be true?

I. $$2 < x < 4$$
II. $$- x < - 3$$
III. $$0 < 2x - 3 < 1$$

A. I only
B. II only
C. III only
D. I and II
E. I and III

OA A

#### During $$1996, 17,500$$ patients were admitted to Warehall Hospital, and exactly one sixth of these patients were

##### During $$1996, 17,500$$ patients were admitted to Warehall Hospital, and exactly one sixth of these patients were

During $$1996, 17,500$$ patients were admitted to Warehall Hospital, and exactly one sixth of these patients were discharged within one day. Of those patients discharged within one hour, one fourth were seen by only one doctor. How many patients during $$1996$$ were seen by only one doctor? 1) Of th...

#### If a rational number $$r$$ satisfies $$0 < r < 1,$$ which one is the minimum among the following choices?

##### If a rational number $$r$$ satisfies $$0 < r < 1,$$ which one is the minimum among the following choices?

If a rational number $$r$$ satisfies $$0 < r < 1,$$ which one is the minimum among the following choices?

A. $$r$$
B. $$-r$$
C. $$\dfrac{-1}{r}$$
D. $$-r^2$$
E. $$\dfrac{-1}{r^2}$$

OA E

#### The probability that $$B$$ can shoot a target two out of two times is $$0.25.$$ What is the probability that the target

##### The probability that $$B$$ can shoot a target two out of two times is $$0.25.$$ What is the probability that the target

The probability that $$B$$ can shoot a target two out of two times is $$0.25.$$ What is the probability that the target will be missed by $$B$$ immediately after such two shots?

A. $$0.25$$
B. $$0.5$$
C. $$0.75$$
D. $$0.4$$
E. $$0.8$$

OA B

#### From a group of $$6$$ boys and $$6$$ girls a volleyball team of $$6$$ players is to be selected. What is the probability

##### From a group of $$6$$ boys and $$6$$ girls a volleyball team of $$6$$ players is to be selected. What is the probability

From a group of $$6$$ boys and $$6$$ girls a volleyball team of $$6$$ players is to be selected. What is the probability that the team consists of $$4$$ boys and $$2$$ girls?

A. $$\dfrac{5}{33}$$
B. $$\dfrac{225}{308}$$
C. $$\dfrac{5}{22}$$
D. $$\dfrac{225}{311}$$
E. $$\dfrac{75}{308}$$

OA E