Search found 409 matches


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.


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. Th...


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 ...


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...


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...


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 ...


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]


Re: On each of the first three days of the month, Danny ate twice the number of apples he had eaten the day before. The

Let X equal the number of apples eaten on the first day. So the second day he ate 2X apples and the third day 4X. Let the number of apples he ate on the 4th day equal Y. The ratio of the number of apples eaten on the third day to the number eaten on the 4th day is then: 4X/Y = 3/5 Y is then equal to...


Re: \(n\) is a positive integer, and \(k\) is the product of all integers from \(1\) to \(n\) inclusive. If \(k\) is a m

\(n\) is a positive integer, and \(k\) is the product of all integers from \(1\) to \(n\) inclusive. If \(k\) is a multiple of \(1440,\) then the smallest possible value of \(n\) is A. 8 B. 12 C. 16 D. 18 E. 24 Answer: A Source: Magoosh The problem is saying that K=N! The smallest multiple of 1440 ...


Re: A college admissions officer predicts that 20 of the students who are accepted willl not attend the college. Accordi

If 20% of those accepted don't enroll, then 100%-20% = 80% of those accepted actually enroll. Setting A = accepted students and X = enrolled students, the above is: (80/100)* A = X With the goal of enrolling X students, the number of students needing to be accepted is A= X*(100/80) = X * (5/4) = 1.2...


Re: If a six sided die is rolled three times, what is the probability of getting at least one even number and at least o

If a six sided die is rolled three times, what is the probability of getting at least one even number and at least one odd number? A. 1/8 B. 1/4 C. 1/2 D. 3/4 E. 7/8 OA D Source: Princeton Review Satisfying the requirement would mean the following possible outcomes without regard to order: OOE OR E...


Re: Two equally sized jugs full of water are each emptied into two separate unequally sized empty jugs, X and Y.

Set the volumes of the equal jugs = A

So A= X/5 and 2Y/3. So Y= 3X/10

To fill Y from X requires Y-2Y/3 or Y/3 additional water.

Y/3 = (3X/10)/3 = X/10

Water remaining in X after this is poured into Y is then

X/5 - X/10 = [spoiler]X/10, D[/spoiler]


Re: Which of the following fractions is closest to \(\dfrac12?\)

Looking at the answer choices, each of A, B ,C and D are 1/2 point away in the numerator from making the division equal to 1/2. So, A, B and C can be eliminated because with their lower denominators compared to D, the 1/2 point difference in the numerator will render them farther away from 1/2 than ...

by regor60

Sun Feb 27, 2022 6:11 am
Forum: Problem Solving
Topic: Which of the following fractions is closest to \(\dfrac12?\)
Replies: 2
Views: 339