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.

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If 1890 digits are used to number the pages in a volume, how many pages are there?

To number the pages of a bulky volume the printer used 1890 digits. How many pages has the volume?
Anon
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Trip Day Problem

I have a question as a problem. Jack has gone to a trip and come back and when his friend asked the weather during Jack's trip, he answered as; There were $10$ days which morning was sunny. There were $7$ days which afternoon was sunny. When…
layout789
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A Rational Problem about a Pilot and His Plane

Here's a problem that I can't seem to solve. It was discussed to us last week, but I had a fever so I wasn't able to understand the answer and solution. Due to inclement weather, the pilot of a plane slows down the plane’s regular flying rate by…
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How is this question about slices of a pyramid to be interpreted?

Given a pyramid with square base $b\times b$ and height $h$ we start by slicing the pyramid parallel to the base with $n$ slices of thickness $h/n$. A typical slice has one face as a square $(i/n)b\times (i/n)b$ and the parallel face a square…
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Largest circle in a rectangle

A shaded circle just fits inside a 2m x 3m rectangle. What is the radius in metres, of the largest circle that will also fit inside the rectangle but will not intersect the shaded circle?
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How would you solve this equation for "A"?

While working on some formulas, I was trying to solve for each variable. The first set of formulas deal with interest that gets calculated once per year and are fairly simple to come up with: n = lambda iy, pv, fv: math.log(fv / pv) / math.log(iy +…
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Maths Rug Question

I'm having a bit of trouble understanding what this question is asking. Can someone please draw a diagram and show what they are asking us to find. (btw, this question was asked before but I didn't quite understand what we are expected to find…
Saruto
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Any tips for solving problems like this?

Can anyone give me any tips for solving problems like this , I can't get my head around it .
paul
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Solving for X with multiple exponents

I'm trying to come up with an equation to determine what level you are when you have a certain amount of experience in an online game. I tried using quickmath.com and wolframalpha.com to figure out the steps but neither shows how they got there.…
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What are the steps to do to solve this Algebraic problem?

A mixture of 12 ounces of vinegar and oil is 40 percent vinegar,where all of the measurements are by weight. How many ounces of oil must be added to the mixture to produce a new mixture that is only 25 percent vinegar ?
goofyui
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What is the largest possible area that $PQRS$ could have?

In a $14\times 18$ rectangle $ABCD$, points $P,Q,R$ and $S$ are chosen, one on each side $ABCD$ as pictured. The lengths $AP, PB, BQ, QC, CR, RD, DS$ and $SA$ are all positive integers and $PQRS$ is a rectangle. What is the largest possible area…
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Simplifying $(m^3)^4(2x^3)^7(m^2)^5(3x)^2$

I am having trouble with simplifying the following algebraic expression: $$(m^3)^4(2x^3)^7(m^2)^5(3x)^2$$ I have been able to do the exponents and all the other equations I needed to simplify but not this one. If somebody could provide a step by…
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How to find the seeding number for acheiving the minimum cost?

Consider there are n integers. I have to pick one Random integer 'R' and i have to subtract 'R' with each element of the 'N' integers. Result has to be added. Result that i will achieve should be the minimum value Consider the usecase: N elements :…
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Two people running up and down escalators

Couldn't really figure out a good title for this post, I am sorry. But here's the problem: PREMISE: Two people, A and B, are running, with speed u, up and down separate escalators with length L. B's escalator is running with speed v, but A's…
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When Ben added $2$ of $4$ together repeatedly, he got $4$ consecutive numbers. Show that either $3$ or $1$ of his $4$ numbers were even

Ben had $4$ numbers: $a, b, c,$ and $d$. $a+c=e$ $a+d=f$ $b+c=g$ $b+d=h$ $e,f,g,h$ are consecutive. Prove that either $1$ or $3$ of $a,b,c,d$ were even