## Search found 1618 matches

#### If $$m$$ and $$n$$ are positive integers, is the remainder of $$\dfrac{10^m+n}3$$ larger than the remainder of

##### If $$m$$ and $$n$$ are positive integers, is the remainder of $$\dfrac{10^m+n}3$$ larger than the remainder of

If $$m$$ and $$n$$ are positive integers, is the remainder of $$\dfrac{10^m+n}3$$ larger than the remainder of $$\dfrac{10^n+m}3?$$

(1) $$m>n.$$
(2) The remainder of $$\dfrac{n}3$$ is $$2.$$

Source: GMAT Club Tests

#### A project requires a rectangular sheet of cardboard satisfying the following requirement: When the sheet is cut into ide

##### A project requires a rectangular sheet of cardboard satisfying the following requirement: When the sheet is cut into ide

A project requires a rectangular sheet of cardboard satisfying the following requirement: When the sheet is cut into identical rectangular halves, each of the resulting rectangles has the same ratio of length to width as the original sheet. Which of the following sheets comes closest to satisfying t...

#### If line $$k$$ in the $$xy$$-coordinate plane has the equation $$Ax + By = C,$$ what is the slope of line $$k?$$

##### If line $$k$$ in the $$xy$$-coordinate plane has the equation $$Ax + By = C,$$ what is the slope of line $$k?$$

If line $$k$$ in the $$xy$$-coordinate plane has the equation $$Ax + By = C,$$ what is the slope of line $$k?$$

(1) $$A = 2B$$

(2) $$C = 4B$$

Source: Magoosh

#### Given distinct positive integers $$1, 11, 3, x, 2,$$ and $$9,$$ which of the following could be the median?

##### Given distinct positive integers $$1, 11, 3, x, 2,$$ and $$9,$$ which of the following could be the median?

Given distinct positive integers $$1, 11, 3, x, 2,$$ and $$9,$$ which of the following could be the median?

A. 3
B. 5
C. 7
D. 8
E. 9

Source: Manhattan GMAT

#### What is the average (arithmetic mean) of eleven consecutive integers?

##### What is the average (arithmetic mean) of eleven consecutive integers?

What is the average (arithmetic mean) of eleven consecutive integers?

(1) The average of the first nine integers is 7
(2) The average of the last nine integers is 9.

Source: GMAT Prep

by M7MBA

Fri May 14, 2021 2:06 am
Forum: Data Sufficiency
Topic: What is the average (arithmetic mean) of eleven consecutive integers?
Replies: 1
Views: 14

#### What is the value of $$a - b?$$

##### What is the value of $$a - b?$$

What is the value of $$a - b?$$

(1) $$a=b+4$$
(2) $$(a-b)^2=16$$

Source: GMAT Paper Tests

by M7MBA

Fri May 07, 2021 7:31 am
Forum: Data Sufficiency
Topic: What is the value of $$a - b?$$
Replies: 0
Views: 23

#### If the sum of two positive integers is 24 and the difference of their squares is 48, what is the product of the two inte

##### If the sum of two positive integers is 24 and the difference of their squares is 48, what is the product of the two inte

If the sum of two positive integers is 24 and the difference of their squares is 48, what is the product of the two integers?

(A) 108
(B) 119
(C) 128
(D) 135
(E) 143

Source: GMAT Paper Tests

#### What is the average (arithmetic mean) of $$x, y,$$ and $$z?$$

##### What is the average (arithmetic mean) of $$x, y,$$ and $$z?$$

What is the average (arithmetic mean) of $$x, y,$$ and $$z?$$

(1) $$x + y = 5$$

(2) $$y + z = 7$$

Source: GMAT Paper Tests

by M7MBA

Fri May 07, 2021 7:29 am
Forum: Data Sufficiency
Topic: What is the average (arithmetic mean) of $$x, y,$$ and $$z?$$
Replies: 0
Views: 25

#### If $$x > 0,$$ is $$\dfrac{x}{y} > x ?$$

##### If $$x > 0,$$ is $$\dfrac{x}{y} > x ?$$

If $$x > 0,$$ is $$\dfrac{x}{y} > x ?$$

(1) $$0 < y < 1$$
(2) $$x > 1$$

Source: GMAT Paper Tests

by M7MBA

Tue May 04, 2021 7:22 am
Forum: Data Sufficiency
Topic: If $$x > 0,$$ is $$\dfrac{x}{y} > x ?$$
Replies: 0
Views: 35

#### If the sum of the square roots of two integers is $$\sqrt{9+6\sqrt2},$$ what is the sum of the squares of these two inte

##### If the sum of the square roots of two integers is $$\sqrt{9+6\sqrt2},$$ what is the sum of the squares of these two inte

If the sum of the square roots of two integers is $$\sqrt{9+6\sqrt2},$$ what is the sum of the squares of these two integers?

(A) 40
(B) 43
(C) 45
(D) 48
(C) 52

Source: GMAT Prep

#### If $$a = 1$$ and $$\dfrac{a - b}{c} = 1$$ which of the following is NOT a possible value of $$b?$$

##### If $$a = 1$$ and $$\dfrac{a - b}{c} = 1$$ which of the following is NOT a possible value of $$b?$$

If $$a = 1$$ and $$\dfrac{a - b}{c} = 1$$ which of the following is NOT a possible value of $$b?$$

A. -2
B. -1
C. 0
D. 1
E. 2

Source: GMAT Prep

#### If $$xy = -18,$$ is $$x$$ less than $$y?$$

##### If $$xy = -18,$$ is $$x$$ less than $$y?$$

If $$xy = -18,$$ is $$x$$ less than $$y?$$

(1) $$x < 0$$

(2) $$y < 10$$

Source: GMAT Prep

by M7MBA

Tue May 04, 2021 7:17 am
Forum: Data Sufficiency
Topic: If $$xy = -18,$$ is $$x$$ less than $$y?$$
Replies: 0
Views: 28

#### What is the ratio of $$\dfrac34$$ to the product $$4\cdot \left(\dfrac34\right)?$$

##### What is the ratio of $$\dfrac34$$ to the product $$4\cdot \left(\dfrac34\right)?$$

What is the ratio of $$\dfrac34$$ to the product $$4\cdot \left(\dfrac34\right)?$$

(A) $$\dfrac14$$

(B) $$\dfrac13$$

(C) $$\dfrac49$$

(D) $$\dfrac94$$

(E) $$4$$

Source: GMAT Paper Tests

#### If the symbol $$@$$ represents either addition or multiplication, which operation does it represent?

##### If the symbol $$@$$ represents either addition or multiplication, which operation does it represent?

If the symbol $$@$$ represents either addition or multiplication, which operation does it represent?

(1) $$[email protected] = [email protected]$$ for all numbers $$a$$ and $$b.$$
(2) $$[email protected](b - c) = ([email protected]) - ([email protected])$$ for all numbers $$a, b,$$ and $$c.$$

#### The sequence $$a_1, a_2, a_3, \ldots , a_n, \ldots$$ is such that $$i \cdot a_i=j \cdot a_j$$ for any pair of positive
##### The sequence $$a_1, a_2, a_3, \ldots , a_n, \ldots$$ is such that $$i \cdot a_i=j \cdot a_j$$ for any pair of positive
The sequence $$a_1, a_2, a_3, \ldots , a_n, \ldots$$ is such that $$i \cdot a_i=j \cdot a_j$$ for any pair of positive integers $$(i,j).$$ If $$a_1$$ is a positive integer, which of the following could be true? I. $$2\cdot a_{100}=a_{99}+a_{98}$$ II. $$a_1$$ is the only integer in the sequence. III....