## Search found 415 matches

#### In how many ways can 10 different paintings be distributed between two collectors – Dave and Mona – if Dave should get

###### Problem Solving

##### Re: In how many ways can 10 different paintings be distributed between two collectors – Dave and Mona – if Dave should g

Each painting has a "choice" between each of the two so the number of ways the paintings can be distributed without restrictions is 2^10 = 1024 However, this includes the cases where Dave gets 0 and 1 painting, in violation of the restriction, so these two cases need to be removed. The cas...

- by regor60

Tue Jan 31, 2023 7:52 am- Forum: Problem Solving
- Topic: In how many ways can 10 different paintings be distributed between two collectors – Dave and Mona – if Dave should get
- Replies:
**1** - Views:
**370**

#### When running a mile during a recent track meet, Nuria was initially credited with a final time of 5 minutes, 44 seconds.

###### Problem Solving

##### Re: When running a mile during a recent track meet, Nuria was initially credited with a final time of 5 minutes, 44 seco

44 seconds is about 3/4 of a minute.

11/25 is almost another half minute.

Adding these two clearly exceeds a minute. The only answer in the 6 minute range is E.

- by regor60

Sun Jan 29, 2023 9:40 am- Forum: Problem Solving
- Topic: When running a mile during a recent track meet, Nuria was initially credited with a final time of 5 minutes, 44 seconds.
- Replies:
**2** - Views:
**349**

#### There are y different travelers who each have a choice of vacationing at one of n different destinations.

###### Problem Solving

##### Re: There are y different travelers who each have a choice of vacationing at one of n different destinations.

Assume some easy numbers and test the answers. Set Y=3 and n=2 So 3 travelers each have 2 choices. This equals 2^3=8 ways they can be allocated. Since there are only 2 ways all 3 of them can stay at the same spot, the probability is 2/8 = 1/4 Which of the answers gives 1/4 when the substitution is m...

- by regor60

Sun Jan 29, 2023 9:34 am- Forum: Problem Solving
- Topic: There are y different travelers who each have a choice of vacationing at one of n different destinations.
- Replies:
**1** - Views:
**336**

#### In a city where all streets run east-to-west, all avenues run north-to-south, and all intersections are right angles

###### Problem Solving

##### Re: In a city where all streets run east-to-west, all avenues run north-to-south, and all intersections are right angles

5 steps down and 2 to the right are required to make the trip. The 5 steps down can be allocated to the 3 avenues 7!/5!2! = 21 ways Since 2 steps down are allocated to avenue 1 in the question, this leaves 3 steps to be allocated to the other 2 avenues, which can be done 4!/3! = 4 ways Answer [spoil...

- by regor60

Sun Jan 29, 2023 7:58 am- Forum: Problem Solving
- Topic: In a city where all streets run east-to-west, all avenues run north-to-south, and all intersections are right angles
- Replies:
**1** - Views:
**378**

#### A company plans to assign identification numbers to its employees. Each number is to consist of four different digits

###### Problem Solving

##### Re: A company plans to assign identification numbers to its employees. Each number is to consist of four different digit

Since 0 can't be the first digit there are 9 choices for the first digit . For the second digit there are also 9 choices since 0 can be used. Third digit then 8 choices. And fourth digit 7 choices. So the total is 9*9*8*7. Rather than multiplying this out, we can see that the 9*9 will leave a 1 as t...

- by regor60

Thu Nov 03, 2022 8:06 am- Forum: Problem Solving
- Topic: A company plans to assign identification numbers to its employees. Each number is to consist of four different digits
- Replies:
**2** - Views:
**496**

#### In the game of Dubblefud, red chips, blue chips and green chips are each worth \(2, 4\) and \(5\) points respectively.

###### Problem Solving

##### Re: In the game of Dubblefud, red chips, blue chips and green chips are each worth \(2, 4\) and \(5\) points respectivel

Set the numbers of blue and green chips equal to X and the number of red chips equal to Y.

So 2^Y * 4^X*5^X = 16000, or

2^Y * 2^2X * 5^X = 2^4 * 2^3 * 5^3, or

2^(Y+2X)*5^X = 2^7 *5^3. So

X=3 and (Y+2*3)=7, so

Y=1=number of red chips

- by regor60

Wed Nov 02, 2022 9:36 am- Forum: Problem Solving
- Topic: In the game of Dubblefud, red chips, blue chips and green chips are each worth \(2, 4\) and \(5\) points respectively.
- Replies:
**2** - Views:
**589**

#### If a certain coin is flipped, the probability that the coin will land heads is 1/2. If the coin is flipped 5 times, what

###### Problem Solving

##### Re: If a certain coin is flipped, the probability that the coin will land heads is 1/2. If the coin is flipped 5 times,

The question stipulates one pattern,

HHHTT

There are 2^5 = 32 possible patterns

So the answer must be 1/32

- by regor60

Wed Nov 02, 2022 9:20 am- Forum: Problem Solving
- Topic: If a certain coin is flipped, the probability that the coin will land heads is 1/2. If the coin is flipped 5 times, what
- Replies:
**3** - Views:
**444**

#### Bikesville is 200 miles from Restsville. Jasmine can complete the entire trip in 8 hours, and Monte takes two hours

###### Problem Solving

##### Re: Bikesville is 200 miles from Restsville. Jasmine can complete the entire trip in 8 hours, and Monte takes two hours

One speed is 200/8=25, the other is 200/(8+2)= 20 Closing speed is the sum of the two or 45 Distance traveled between them is 200, so Time=distance/rate = 200/45 = 4.44 hours. Answer is not among the answer choices. I don't view 4.4 as being approximately 4, even if 4 is the best choice among them.

- by regor60

Wed Aug 03, 2022 9:42 am- Forum: Problem Solving
- Topic: Bikesville is 200 miles from Restsville. Jasmine can complete the entire trip in 8 hours, and Monte takes two hours
- Replies:
**1** - Views:
**355**

#### A woman has seven cookies - four chocolate chip and three oatmeal. She gives one cookie to each of her six children

###### Problem Solving

##### Re: A woman has seven cookies - four chocolate chip and three oatmeal. She gives one cookie to each of her six children

Distributing 6 cookies can be done in the following ways: 3 chocolate, 3 oatmeal 4 chocolate, 2 oatmeal Pairing Deborah and Kim (D and K) together, let's examine each way above: D&K can each have a chocolate cookie, in which case there are 4 choices of children for the remaining chocolate cookie...

- by regor60

Sun Jul 10, 2022 6:39 am- Forum: Problem Solving
- Topic: A woman has seven cookies - four chocolate chip and three oatmeal. She gives one cookie to each of her six children
- Replies:
**2** - Views:
**573**

#### If Jake loses \(8\) pounds, he will weigh twice as much as his sister. Together they now weigh \(278\) pounds. What is

###### Problem Solving

##### Re: If Jake loses \(8\) pounds, he will weigh twice as much as his sister. Together they now weigh \(278\) pounds. What

Source: GMAT Paper Tests If Jake loses \(8\) pounds, he will weigh twice as much as his sister. Together they now weigh \(278\) pounds. What is Jake's present weight, in pounds? A. \(131\) B. \(135\) C. \(139\) D. \(147\) E. \(188\) The OA is E This is the same thing as saying that if you subtract ...

- by regor60

Sun Jul 10, 2022 6:30 am- Forum: Problem Solving
- Topic: If Jake loses \(8\) pounds, he will weigh twice as much as his sister. Together they now weigh \(278\) pounds. What is
- Replies:
**3** - Views:
**574**

#### If a certain coin is flipped, the probability that the coin will land heads is 1/2. If the coin is flipped 5 times, what

###### Problem Solving

##### Re: If a certain coin is flipped, the probability that the coin will land heads is 1/2. If the coin is flipped 5 times,

The question is asking for the probability of a set of outcomes which occur in a specific order. Since each toss is independent of the other and each face has a 1/2 chance of appearing the probability is [spoiler]1/32, E[/spoiler] If the question had asked for probability of 3 heads and 2 tails occu...

- by regor60

Mon Jun 27, 2022 10:09 am- Forum: Problem Solving
- Topic: If a certain coin is flipped, the probability that the coin will land heads is 1/2. If the coin is flipped 5 times, what
- Replies:
**3** - Views:
**750**

#### Starting with 0, a mathematician labels every non-negative integer as one of five types: alpha, beta, gamma, delta, or

###### Problem Solving

##### Re: Starting with 0, a mathematician labels every non-negative integer as one of five types: alpha, beta, gamma, delta,

The pattern of labeling numbers is a repeating pattern of 5 letters. So we need to determine how many cycles plus any fraction of a cycle are contained within the number. We are free to choose which gamma and which delta. Let's choose the smallest, 2 and 3. So, the number for which a label is desire...

- by regor60

Thu Jun 16, 2022 6:49 am- Forum: Problem Solving
- Topic: Starting with 0, a mathematician labels every non-negative integer as one of five types: alpha, beta, gamma, delta, or
- Replies:
**1** - Views:
**336**

##### Re: If x < y and y < 10, what is the greatest possible integer value of x + y?

Easy to make the assumption that since the question is seeking an integer value that the individual values must also be integers, but that is not stated as a limitation. So the goal is to maximize both X and Y to maximize their sum. Clearly each can be >9 and every amount below 10 that Y is must be ...

- by regor60

Tue May 10, 2022 1:37 pm- Forum: Problem Solving
- Topic: If x < y and y < 10, what is the greatest possible integer value of x + y?
- Replies:
**1** - Views:
**560**

#### At a local office, each trainee can stuff 2/3 as many envelopes per day as a full time worker. If there are 2525 as

###### Problem Solving

##### Re: At a local office, each trainee can stuff 2/3 as many envelopes per day as a full time worker. If there are 2525 as

Question appears to be transcribed incorrectly since the correct answer isn't among the choices

- by regor60

Thu May 05, 2022 12:31 pm- Forum: Problem Solving
- Topic: At a local office, each trainee can stuff 2/3 as many envelopes per day as a full time worker. If there are 2525 as
- Replies:
**1** - Views:
**421**

#### If Enid and Topanga each roll a single ten-sided die (which has sides numbered 1 through 10), what is the probability

###### Problem Solving

##### Re: If Enid and Topanga each roll a single ten-sided die (which has sides numbered 1 through 10), what is the probabilit

Don't forget ties.

The odds of a tie are one rolls a number and the other has 1/10 chance of matching, so

1/10 chance of tie

This leaves 9/10 chance to roll different numbers.

Half the time a given person will roll higher than the other, so

1/2*9/10 = [spoiler]9/20, B[/spoiler]

- by regor60

Wed Apr 06, 2022 11:32 am- Forum: Problem Solving
- Topic: If Enid and Topanga each roll a single ten-sided die (which has sides numbered 1 through 10), what is the probability
- Replies:
**1** - Views:
**465**