Questions tagged [problem-solving]

Use this tag when you want to determine the thinking that is needed to solve a certain type of problem, as opposed to looking for a specific answer to a question.

Use this tag when you want to determine the thinking that is needed to solve a certain type of problem, as opposed to looking for a specific answer to a question.

4495 questions
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what is the ratio of their speed?

Jonathan and Cindy run on a circular track where AB is the diameter of the track, as shown below. If Jonathan and Cindy run towards each other at the same time from Point A and Point B respectively, it will take them 40 seconds before they meet. If…
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In how many ways can he form a rectangle using all the tiles each time?

A contractor has exactly $1088$ square tiles. In how many ways can he form a rectangle using all the tiles each time?
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How old was the teacher in 2008?

Julie ask her teacher, "how old were you in 2008?" "My age in 2008 was the sum of all the digits of my year of birth,' replied the teacher. How old was the teacher in 2008?
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Digit-related Problems

The sum of the digits of a three digit number is 15. If the tens digits and the hundreds digit are interchanged, the number is increased by 360. If the units digit is 1/4 of the sum of the hundreds and the tens digit, what is the number?
Bjornszkie
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Solve for x with multiple unknowns and an exponent

This is the formula I worked out to use in my game to calculate player experience $x$ needed for level $y$: C#: $x = (y * (y+1) / 2) * y^{1.5}$ or $x = y \cdot (\frac{ y + 1 }{2}) \cdot y ^ {1.5}$ This I've been able to work out bits and pieces,…
D3Duck
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Finding coordinates of M and N according to the triangle ABC

So, I was doing high school math to repass my math and there is a problem with which I have quite a bit of difficulty : Given the triangle A(1,-1), B(3,2) and C(0,3) find the coordinates of M and N (M on AB N on AC) given that MN is parallel to BC…
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What books can be recommended on solving extreme problems?

I'm recently having interest in solving problems like the ones in here but as the problems are not that familiar I can not efficiently think of the solution or the concepts. Of course have solved some problems before and understanding the concepts…
J.W.Lee
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How do short term loan providers arrive at their Representative APR?

I think I am missing something important here. I have read most post on here about APR, guides on how to calculate it and official loan rule books. However sites like wonga, quickquid etc seem to have representative APR's that way exceed any formula…
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Distribute items in boxes with equal size

Suppose that there are $1650$, $1560$ and $1260$ lamps of three types A, B, C respectively. I want to distribute them in boxes with equal sizes so that each box contains the maximum number of lamps of a certain type. My attempt: The formula I can…
Ahmad
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Fill in the blanks

I got that quiz the other day and struggled to solve it. you have a list of integers and operators: 1, 1, 6, 3, 9, 0, 8, 0, 2, 9, (, ), +, +, -, = You have to use every item of that list exactly once. Fill the blanks to get an equation. There are…
smnk
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Ratio isn't answering correct for this problem

Assume there are 2 products A and B made by different companies. Product A costs 1.2006 USD and Product B costs 2.8298 USD. They decided to exchange their products equally without using Money as a channel. Now I need to find how many products B the…
Umair A.
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Strategies for deriving properties of an expression

For a given $c^*$, suppose that the following system of non-linear equations in $x$ and $y$, $f(x,y;c)=0\\ g(x,y;c)=0$ possesses a unique solution $(x^*,y^*)$. The equations are such that I do not have $x$ and $y$ as explicit functions of $c$.…
Amatya
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How to reach a certain floor in an particular elevator.

In a 20-floor house, an elevator has two buttons. Pressing "UP" gets the elevator to go up 13 floors, pressing "DOWN" makes the elevator go down eight floors. Is it possible to get from the 13th floor to the 8th floor? Support your answer with…
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Problem Solving: How many minutes will it take the first car to catch the second (rate problem)

If a car traveling at 60 mph is chasing a car traveling 50 mph and is 1/4 mile behind, how many minutes will it take the first car to catch the second? So initially when approaching this problem I subtracted 50mph from 60mph so I can know how many…
Lil
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Factorial Word Problem

Here is the problem: "The traditional French greeting is to kiss the other person on each cheek. So, when two traditional French friends meet, one kisses the second on both cheeks and the second person kisses the first on both cheeks. a. Make an…
Kot
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