## Search found 1791 matches

#### If x, y, P, and Q are positive integers such that x + y = P and \(x^2=\dfrac{Q^2}{Y^2},\) then

###### Problem Solving

##### If x, y, P, and Q are positive integers such that x + y = P and \(x^2=\dfrac{Q^2}{Y^2},\) then

**E-GMAT**

If x, y, P, and Q are positive integers such that x + y = P and \(x^2=\dfrac{Q^2}{Y^2},\) then (x-3y)(y+3x)=

A. \(3P^2-8Q\)

B. \(3PQ-8Q\)

C. \(3Q^2-8Q\)

D. \(3P(\sqrt{P^2-4Q})-8Q\)

E. \(3P(\sqrt{P-2Q})-8Q\)

OA D

- by AAPL

Thu May 06, 2021 4:21 am- Forum: Problem Solving
- Topic: If x, y, P, and Q are positive integers such that x + y = P and \(x^2=\dfrac{Q^2}{Y^2},\) then
- Replies:
**0** - Views:
**17**

#### Starting from the same point, a sparrow and a hawk flew in opposite directions. Each traveled at a constant speed until

###### Data Sufficiency

##### Starting from the same point, a sparrow and a hawk flew in opposite directions. Each traveled at a constant speed until

Princeton Review Starting from the same point, a sparrow and a hawk flew in opposite directions. Each traveled at a constant speed until they were 200 feet apart. How far did the sparrow travel? 1) The ratio of the sparrow's speed to the hawk's speed was 3 to 2 2) The average speed of the sparrow w...

- by AAPL

Tue May 04, 2021 4:58 pm- Forum: Data Sufficiency
- Topic: Starting from the same point, a sparrow and a hawk flew in opposite directions. Each traveled at a constant speed until
- Replies:
**0** - Views:
**16**

#### A wildlife preserve is being planned for 3,000 rhinoceroses. The preserve is to contain a total of 10,000 acres of water

###### Problem Solving

##### A wildlife preserve is being planned for 3,000 rhinoceroses. The preserve is to contain a total of 10,000 acres of water

GMAT Paper Tests A wildlife preserve is being planned for 3,000 rhinoceroses. The preserve is to contain a total of 10,000 acres of watering area, plus 100 acres of grazing area for each rhinoceros. If the number of rhinoceroses is expected to increase by 10 percent, how many thousand acres should ...

- by AAPL

Tue May 04, 2021 4:49 pm- Forum: Problem Solving
- Topic: A wildlife preserve is being planned for 3,000 rhinoceroses. The preserve is to contain a total of 10,000 acres of water
- Replies:
**0** - Views:
**15**

#### The numbers in which of the following pairs do NOT have a pair of distinct prime divisors in common?

###### Problem Solving

##### The numbers in which of the following pairs do NOT have a pair of distinct prime divisors in common?

**GMAT Paper Tests**

The numbers in which of the following pairs do NOT have a pair of distinct prime divisors in common?

A. 10 and 20

B. 12 and 18

C. 24 and 32

D. 21 and 63

E. 22 and 88

OA C

- by AAPL

Tue May 04, 2021 4:41 pm- Forum: Problem Solving
- Topic: The numbers in which of the following pairs do NOT have a pair of distinct prime divisors in common?
- Replies:
**1** - Views:
**18**

#### The 9 participants in a race were divided into 3 teams with 3 runners on each team. A team was awarded 6 – n points if

###### Data Sufficiency

##### The 9 participants in a race were divided into 3 teams with 3 runners on each team. A team was awarded 6 – n points if

Official Guide The 9 participants in a race were divided into 3 teams with 3 runners on each team. A team was awarded 6 – n points if one of its runners finished in nth place, where 1 ≤ n ≤ 5. If all the runners finished the race and if there were no ties, was each team awarded at least 1 point? 1)...

- by AAPL

Mon May 03, 2021 4:28 am- Forum: Data Sufficiency
- Topic: The 9 participants in a race were divided into 3 teams with 3 runners on each team. A team was awarded 6 – n points if
- Replies:
**0** - Views:
**21**

#### Line A is represented by the line y = 3x - 4. Which of the following represents the equation of a line that is

###### Problem Solving

##### Line A is represented by the line y = 3x - 4. Which of the following represents the equation of a line that is

**Veritas Prep**

Line A is represented by the line y = 3x - 4. Which of the following represents the equation of a line that is perpendicular to Line A and that travels through point (1,2)?

A. y = -3x + 4

B. y = -x/3 + 4/3

C. y = -3x + 3/4

D. y = -x/3 + 7/3

E. y = -x/3 − 4

OA D

- by AAPL

Mon May 03, 2021 4:23 am- Forum: Problem Solving
- Topic: Line A is represented by the line y = 3x - 4. Which of the following represents the equation of a line that is
- Replies:
**0** - Views:
**20**

#### If you are drawing one card from a regular deck of cards (52 cards, with 13 sets of four), what is the probability that

###### Problem Solving

##### If you are drawing one card from a regular deck of cards (52 cards, with 13 sets of four), what is the probability that

**Veritas Prep**

If you are drawing one card from a regular deck of cards (52 cards with 13 sets of four), what is the probability that you draw a 4 or a spade?

A. 4/13

B. 5/13

C. 7/13

D. 9/13

E. 11/13

OA A

- by AAPL

Mon May 03, 2021 4:12 am- Forum: Problem Solving
- Topic: If you are drawing one card from a regular deck of cards (52 cards, with 13 sets of four), what is the probability that
- Replies:
**0** - Views:
**17**

#### If the positive integer n is greater than 6, what is the remainder when n is divided by 6?

###### Data Sufficiency

##### If the positive integer n is greater than 6, what is the remainder when n is divided by 6?

**Manhattan Prep**

If the positive integer n is greater than 6, what is the remainder when n is divided by 6?

1) When n is divided by 9, the remainder is 2

2) When n is divided by 4, the remainder is 1

OA C

- by AAPL

Sat May 01, 2021 11:07 am- Forum: Data Sufficiency
- Topic: If the positive integer n is greater than 6, what is the remainder when n is divided by 6?
- Replies:
**0** - Views:
**27**

#### At Perry High School, the ratio of students who participate in either the band program or the choral program to students

###### Problem Solving

##### At Perry High School, the ratio of students who participate in either the band program or the choral program to students

Princeton Review At Perry High School, the ratio of students who participate in either the band program or the choral program to students who participate in neither program is 3 to 8. If 220 students attend Perry High School, how many of them do NOT participate in either program? A. 40 B. 60 C. 100...

- by AAPL

Sat May 01, 2021 11:04 am- Forum: Problem Solving
- Topic: At Perry High School, the ratio of students who participate in either the band program or the choral program to students
- Replies:
**0** - Views:
**24**

#### A certain game requires players to collect both blue tokens, which are worth b points each, and red tokens...

###### Problem Solving

##### A certain game requires players to collect both blue tokens, which are worth b points each, and red tokens...

Princeton Review A certain game requires players to collect both blue tokens, which are worth b points each, and red tokens, which are worth r points each. If p percent of player A's points are from blue tokens and q percent of player A's token are red, which of the following is an expression for t...

- by AAPL

Sat May 01, 2021 10:57 am- Forum: Problem Solving
- Topic: A certain game requires players to collect both blue tokens, which are worth b points each, and red tokens...
- Replies:
**0** - Views:
**18**

#### Trains A and B travel at the same constant rate in opposite directions along the same route between Town G and Town H.

###### Data Sufficiency

##### Trains A and B travel at the same constant rate in opposite directions along the same route between Town G and Town H.

Manhattan Prep Trains A and B travel at the same constant rate in opposite directions along the same route between Town G and Town H. If, after traveling 2 hours, Train A passes Train B, how long does it take Train B to travel the entire distance between Town G and Town H? 1) Train B started travel...

- by AAPL

Fri Apr 30, 2021 5:57 am- Forum: Data Sufficiency
- Topic: Trains A and B travel at the same constant rate in opposite directions along the same route between Town G and Town H.
- Replies:
**0** - Views:
**28**

#### A box contains 10 pairs of shoes (20 shoes in total). If two shoes are selected at random, what is the probability that

###### Problem Solving

##### A box contains 10 pairs of shoes (20 shoes in total). If two shoes are selected at random, what is the probability that

**Magoosh**

A box contains 10 pairs of shoes (20 shoes in total). If two shoes are selected at random, what is the probability that they are matching shoes?

A. 1/190

B. 1/20

C. 1/19

D. 1/10

E. 1/9

OA C

- by AAPL

Fri Apr 30, 2021 5:45 am- Forum: Problem Solving
- Topic: A box contains 10 pairs of shoes (20 shoes in total). If two shoes are selected at random, what is the probability that
- Replies:
**0** - Views:
**38**

#### Working together, 7 identical pumps can empty a pool in 6 hours. How many hours will it take 4 pumps to empty the same

###### Problem Solving

##### Working together, 7 identical pumps can empty a pool in 6 hours. How many hours will it take 4 pumps to empty the same

**Magoosh**

Working together, 7 identical pumps can empty a pool in 6 hours. How many hours will it take 4 pumps to empty the same pool?

A. 4 2/3

B. 9 1/4

C. 9 1/3

D. 9 3/4

E. 10 1/2

OA E

- by AAPL

Fri Apr 30, 2021 5:37 am- Forum: Problem Solving
- Topic: Working together, 7 identical pumps can empty a pool in 6 hours. How many hours will it take 4 pumps to empty the same
- Replies:
**1** - Views:
**43**

#### Cheryl purchased 5 identical hollow pine doors and 6 identical solid oak doors for the house she is building. The

###### Problem Solving

##### Cheryl purchased 5 identical hollow pine doors and 6 identical solid oak doors for the house she is building. The

Official Guide Cheryl purchased 5 identical hollow pine doors and 6 identical solid oak doors for the house she is building. The regular price of each solid oak door was twice the regular price of each hollow pine door. However, Cheryl was given a discount of 25% off the regular price of each solid...

- by AAPL

Tue Apr 27, 2021 12:31 pm- Forum: Problem Solving
- Topic: Cheryl purchased 5 identical hollow pine doors and 6 identical solid oak doors for the house she is building. The
- Replies:
**0** - Views:
**26**

#### Data for a certain biology experiment are given in the table above. If the amount of bacteria present increased by the

###### Problem Solving

##### Data for a certain biology experiment are given in the table above. If the amount of bacteria present increased by the

Official Guide AMOUNT OF BACTERIA PRESENT Time Amount 1:00 P.M. 10.0 grams 4:00 P.M. x grams 7:00 P.M. 14.4 grams Data for a certain biology experiment are given in the table above. If the amount of bacteria present increased by the same fraction during each of the two 3-hour periods shown, how man...

- by AAPL

Tue Apr 27, 2021 12:22 pm- Forum: Problem Solving
- Topic: Data for a certain biology experiment are given in the table above. If the amount of bacteria present increased by the
- Replies:
**0** - Views:
**15**