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Re: The measures of the interior angles in a polygon are consecutive integers. The smallest angle measures 136 degrees.

The measures of the interior angles in a polygon are consecutive integers. The smallest angle measures 136 degrees. How many sides does this polygon have? A) 8 B) 9 C) 10 D) 11 E) 13 OA B Solution: Let’s assume that the polygon has n sides. Recall that the sum of the angle measures of an n-sided po...


Re: For a manufacturer, the cost of producing x units is given the expression y +kx, where y and k are constants. If the

For a manufacturer, the cost of producing x units is given the expression y +kx, where y and k are constants. If the manufacturer sells 100 units at $50 each, his per-unit profit for these 100 units is equal to 64 percent of the selling price per unit and if he sells 250 units at $40 each, his per-...


Re: Working at a constant rate, Sam can finish a job in 3 hours. Mark, also working at a constant rate, can finish the s

Working at a constant rate, Sam can finish a job in 3 hours. Mark, also working at a constant rate, can finish the same job in 12 hours. If they work together for 2 hours, how many minutes will it take Sam to finish the job, working alone at his constant rate? A. 5 B. 20 C. 30 D. 60 E. 120 OA C Sol...


Re: A company will select 2 of the 6 candidates available to work in 2 different positions in Technology team and 3 of t

A company will select 2 of the 6 candidates available to work in 2 different positions in Technology team and 3 of the 7 candidates to work in the same position in HR team. Find the number of ways in which the company can fill the positions? A. 57 B. 65 C. 128 D. 256 E. 1050 [spoiler]OA=E[/spoiler]...


Re: Helen mixes a first solution, 4 liters of 40% concentrated sulfuric acid solution, with a second solution, 5 liters

Helen mixes a first solution, 4 liters of 40% concentrated sulfuric acid solution, with a second solution, 5 liters of a sulfuric acid solution with a stronger concentration, and the resultant solution is 9 liters of 50% concentrated sulfuric acid solution. What was the concentration, as a percent,...


Re: A box contains 4 red chips and 2 blue chips. If two chips are

A box contains 4 red chips and 2 blue chips. If two chips are selected at random without replacement, what is the probability that the chips are different colors? A. 1/2 B. 8/15 C. 7/12 D. 2/3 E. 7/10 Answer: B Solution: To satisfy the requirement, we must obtain either R-B or B-R. Thus, we need to...


Re: When a number A is divided by 6, the remainder is 3 and

When a number A is divided by 6, the remainder is 3 and when another number B is divided by 12, the remainder is 9. What is the remainder when A^2+B^2 is divided by 12? A. 4 B. 5 C. 6 D. 10 E. Cannot be determined Answer: C Solution: We can let A be 6m + 3 for some integer m and B be 12n + 9 for so...

by [email protected]

Sat Apr 03, 2021 10:00 am
Forum: Problem Solving
Topic: When a number A is divided by 6, the remainder is 3 and
Replies: 3
Views: 209

Re: What is the greatest value y for which 4^y is a factor of 12!?

What is the greatest value y for which 4^y is a factor of 12! ? A. 2 B. 3 C. 4 D. 5 E. 6 Answer: D Solution: Let’s first determine the number of 2’s in 12!. To determine the number of 2s in 12!, we can use the following shortcut in which we divide 12 by 2, then divide the quotient of 12/2 by 2 and ...


Re: Al and Ben are drivers for SD Trucking Company.

Al and Ben are drivers for SD Trucking Company. One snowy day, Ben left SD at 8:00 a.m. heading east and Al left SD at 11:00 a.m. heading west. At a particular time later that day, the dispatcher retrieved data from SD’s vehicle tracking system. The data showed that, up to that time, Al had average...

by [email protected]

Sat Apr 03, 2021 9:57 am
Forum: Problem Solving
Topic: Al and Ben are drivers for SD Trucking Company.
Replies: 2
Views: 136

Re: A mountain resort will hold its annual one-day snowboarding competition if it snows on either Saturday or Sunday, bu

A mountain resort will hold its annual one-day snowboarding competition if it snows on either Saturday or Sunday, but if it does not snow at all it will not hold the event. If there is a 70% chance that it snows on any given day at the resort, what is the probability that the event will be held? A....


Re: A librarian has a set of ten books, including four different books about Abraham Lincoln. The librarian wants to put

A librarian has a set of ten books, including four different books about Abraham Lincoln. The librarian wants to put the ten books on a shelf with the four Lincoln books next to each other, somewhere on the shelf among the other six books. How many different arrangements of the ten books are possib...


Re: A certain office supply store stocks 2 sizes of self-stick notepads, each in 4 colors: Blue, Green, Yellow Or Pink.

A certain office supply store stocks 2 sizes of self-stick notepads, each in 4 colors: Blue, Green, Yellow Or Pink. The store packs the notepads in pacakages that contain either 3 notepads of the same size and the same color or 3 notepads of the same size and of 3 different colors. If the order in ...


Re: Fractions/Ratios/Decimals

A garage has a stock of side mirrors. The ratio of right side mirrors to left side mirrors is 5:3. Iris, a garage worker, attaches pairs of the left and right mirrors with an average with an adhesive tape until no more pairs can be made. If 30 right mirrors are left unpaired, how many left and righ...

by [email protected]

Wed Mar 31, 2021 8:44 am
Forum: Problem Solving
Topic: Fractions/Ratios/Decimals
Replies: 3
Views: 192

Re: Working alone at its constant rate, machine \(K\) took 3 hours to produce 1/4 of the units produced last Friday. The

Working alone at its constant rate, machine \(K\) took 3 hours to produce 1/4 of the units produced last Friday. Then machine \(M\) started working and the two machines, working simultaneously at their respective constant rates, took 6 hours to produce the rest of the units produced last Friday. Ho...


Re: Seamus has 3 times as many marbles as Ronit, and Taj has 7 times as many marbles as Ronit. If Seamus has \(s\) marbl

Seamus has 3 times as many marbles as Ronit, and Taj has 7 times as many marbles as Ronit. If Seamus has \(s\) marbles, then, in terms of \(s,\) how many marbles do Seamus, Ronit, and Taj have together? (A) \(\dfrac{3s}7\) (B) \(\dfrac{7s}3\) (C) \(\dfrac{11s}3\) (D) \(7s\) (E) \(11s\) [spoiler]OA=...