## Search found 1137 matches

#### For positive integers $$x$$ and $$y,$$ $$x^y\cdot 8^3=2(10^8).$$ What is the value of $$y?$$

##### For positive integers $$x$$ and $$y,$$ $$x^y\cdot 8^3=2(10^8).$$ What is the value of $$y?$$

For positive integers $$x$$ and $$y,$$ $$x^y\cdot 8^3=2(10^8).$$ What is the value of $$y?$$

(1) $$x > y$$
(2) $$y$$ is a prime number.

Source: Veritas Prep

#### If it takes Bill 8 minutes to peel 30 potatoes, how many potatoes can he peel in one hour?

##### If it takes Bill 8 minutes to peel 30 potatoes, how many potatoes can he peel in one hour?

If it takes Bill 8 minutes to peel 30 potatoes, how many potatoes can he peel in one hour?

A. 16
B. 120
C. 144
D. 225
E. 240

Source: Magoosh

#### List $$Q$$ contains $$3$$ elements. What is the median of list $$Q?$$

##### List $$Q$$ contains $$3$$ elements. What is the median of list $$Q?$$

List $$Q$$ contains $$3$$ elements. What is the median of list $$Q?$$

(1) The mean of list $$Q$$ is $$7.$$
(2) The mode of list $$Q$$ is $$5.$$

Source: Princeton Review

by VJesus12

Tue Oct 20, 2020 5:32 am
Forum: Data Sufficiency
Topic: List $$Q$$ contains $$3$$ elements. What is the median of list $$Q?$$
Replies: 1
Views: 22

#### When a company places a wholesale order on coffee cups with the company logo, they pay $$\692$$ for $$80$$ cups. When

##### When a company places a wholesale order on coffee cups with the company logo, they pay $$\692$$ for $$80$$ cups. When

When a company places a wholesale order on coffee cups with the company logo, they pay $$\692$$ for $$80$$ cups. When Phil wants to buy just one such cup, it costs him $$\12.50.$$ How much above the wholesale price per cup is he paying? A. $$\0.55$$ B. $$\3.85$$ C. $$\7.35$$ D. $$\10.65$$ E. \...

#### Does $$4^a = 4^{-a} + b?$$

##### Does $$4^a = 4^{-a} + b?$$

Does $$4^a = 4^{-a} + b?$$

(1) $$16^a = 1 + \dfrac{2^{2a}}{b^{-1}}$$
(2) $$a = 2$$

Source: Manhattan GMAT

by VJesus12

Tue Oct 20, 2020 5:28 am
Forum: Data Sufficiency
Topic: Does $$4^a = 4^{-a} + b?$$
Replies: 0
Views: 28

#### $$350^2-320^2=$$

##### $$350^2-320^2=$$

$$350^2-320^2=$$

A) $$900$$

B) $$8100$$

C) $$21100$$

D) $$21000$$

E) $$20100$$

Source: Manhattan GMAT

by VJesus12

Tue Oct 20, 2020 5:26 am
Forum: Problem Solving
Topic: $$350^2-320^2=$$
Replies: 0
Views: 26

#### Is $$ab = 9c^2-4?$$

##### Is $$ab = 9c^2-4?$$

Is $$ab = 9c^2-4?$$

(1) $$a$$ divided by $$3$$ is equal to $$c$$ with a remainder of $$2.$$
(2) $$b$$ divided by $$3$$ is equal to $$c$$ minus $$\dfrac23.$$

Source: Veritas Prep

by VJesus12

Tue Oct 20, 2020 5:24 am
Forum: Data Sufficiency
Topic: Is $$ab = 9c^2-4?$$
Replies: 0
Views: 29

#### How many girls are in the chess club?

##### How many girls are in the chess club?

How many girls are in the chess club?

(1) The chess club has a total of 50 members.

(2) Twice the number of boys in the chess club is equal to three times the number of girls in the chess club.

Source: Princeton Review

by VJesus12

Tue Oct 20, 2020 5:14 am
Forum: Data Sufficiency
Topic: How many girls are in the chess club?
Replies: 0
Views: 31

#### Rank these three quantities from least to greatest.

##### Rank these three quantities from least to greatest.

$$\rm I. \dfrac{49!}{(7^{49})^2}$$

$$\rm II. \dfrac{49!}{(7!)^2}$$

$$\rm III. \dfrac{49!}{(42!)(7!)}$$

Rank these three quantities from least to greatest.

A. $$\rm I, II, III$$
B. $$\rm I, III, II$$
C. $$\rm II, I, III$$
D. $$\rm II, III, I$$
E. $$\rm III, I, II$$

Source: Magoosh

by VJesus12

Tue Oct 20, 2020 3:07 am
Forum: Problem Solving
Topic: Rank these three quantities from least to greatest.
Replies: 0
Views: 86

#### If $$K=\dfrac{\frac{r}3}{\frac{p+2}{p^2-2p-r^2}},$$ what is the value of $$K?$$

##### If $$K=\dfrac{\frac{r}3}{\frac{p+2}{p^2-2p-r^2}},$$ what is the value of $$K?$$

If $$K=\dfrac{\frac{r}3}{\frac{p+2}{p^2-2p-r^2}},$$ what is the value of $$K?$$

(1) $$r = 2p$$

(2) $$p = 5,$$ and $$2r - 2p = 2p$$

Source: Princeton Review

#### Consider the three points in the $$xy$$- plane: $$P = (8, 4), Q = (6, 7),$$ and $$R = (9, 0).$$ Rank these three points

##### Consider the three points in the $$xy$$- plane: $$P = (8, 4), Q = (6, 7),$$ and $$R = (9, 0).$$ Rank these three points

Consider the three points in the $$xy$$- plane: $$P = (8, 4), Q = (6, 7),$$ and $$R = (9, 0).$$ Rank these three points from closest to the origin, $$(0, 0),$$ to furthest from the origin.

A. $$P, Q, R$$
B. $$P, R, Q$$
C. $$Q, P, R$$
D. $$R, P, Q$$
E. $$R, Q, P$$

Source: Magoosh

#### If $$2^x\cdot 7^y=z,$$ what is the value of $$z?$$

##### If $$2^x\cdot 7^y=z,$$ what is the value of $$z?$$

If $$2^x\cdot 7^y=z,$$ what is the value of $$z?$$

(1) $$x-y=1$$

(2) $$2^x=8$$

Source: Princeton Review

by VJesus12

Tue Oct 20, 2020 2:58 am
Forum: Data Sufficiency
Topic: If $$2^x\cdot 7^y=z,$$ what is the value of $$z?$$
Replies: 0
Views: 26

#### $$1-\left(\frac12-\frac23\right)$$

##### $$1-\left(\frac12-\frac23\right)$$

$$1-\left(\frac12-\frac23\right)$$

(A) $$\dfrac65$$

(B) $$\dfrac76$$

(C) $$\dfrac67$$

(D) $$\dfrac56$$

(E) $$0$$

Source: GMAT Paper Tests

by VJesus12

Tue Oct 20, 2020 2:56 am
Forum: Problem Solving
Topic: $$1-\left(\frac12-\frac23\right)$$
Replies: 0
Views: 36

#### What is the ratio of the number of boys to girls on the school bus? (1) The number of boys is 5 less than twice the

##### What is the ratio of the number of boys to girls on the school bus? (1) The number of boys is 5 less than twice the

What is the ratio of the number of boys to girls on the school bus?

(1) The number of boys is 5 less than twice the number of girls.

(2) The difference between the number of boys and the number of girls is 35.

Source: Princeton Review

#### If $$\dfrac{x}3+\dfrac{x}4+15=x,$$ then $$x =$$

##### If $$\dfrac{x}3+\dfrac{x}4+15=x,$$ then $$x =$$

If $$\dfrac{x}3+\dfrac{x}4+15=x,$$ then $$x =$$

A. 18
B. 24
C. 36
D. 48
E. 60

Topic: If $$\dfrac{x}3+\dfrac{x}4+15=x,$$ then $$x =$$