## Search found 416 matches

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

##### 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...

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

##### 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.

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

##### 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...

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

##### 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...

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

##### 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...

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

##### 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

#### 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

##### 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

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

##### 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.

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

##### 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...

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

##### 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 ...

#### 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

##### 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...

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

##### 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...

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

##### 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: 362

#### 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

##### 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

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

##### 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]