# 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.

3,806 questions
Filter by
Sorted by
Tagged with
0answers
18 views

### Determine the nature of the given sequence. [closed]

Which of the above options is correct?I have tried to solve it but cannot think of a proper way.This is a problem from IIT-JAM.
1answer
100 views

2answers
89 views

### What does “parity pattern” mean?

Five lattice points are chosen in the plane lattice. Prove that you can always choose two of these points such that the segment joining these points pass through another lattice point. (The lattice ...
0answers
117 views

2answers
52 views

### Two Squares $S_1$ and $S_2$, are inscribed in the triangle $ABC$ as $S_1$ and $ABC$ share a common vertex $C$ and $S_2$ has one of its sides on $AB$.

Let $ABC$ be a right triangle with $\angle C = 90^\circ$. Two Squares $S_1$ and $S_2$, are inscribed in the triangle $ABC$ such that $S_1$ and $ABC$ share a common vertex $C$ and $S_2$ has one of its ...
3answers
106 views

### Let $(m,n)$ be the pair of integers satisfying $2(8n^3 + m^3) + 6(m^2 - 6n^2) + 3(2m + 9n) = 437.$ Find the sum of all possible values of $mn$.

Let $(m,n)$ be the pair of integers satisfying $2(8n^3 + m^3) + 6(m^2 - 6n^2) + 3(2m + 9n) = 437.$ Find the sum of all possible values of $mn$. What I Tried:- Given this expression I had no idea to ...
2answers
98 views

0answers
18 views

### Times that respect clock-hand symmetry [duplicate]

A friend asked me for the time. When I looked at my analog clock (which only has a minute hand and an hour hand, no second hand), I thought of telling her the time with the hour and minute hands ...
2answers
39 views

### Sum of Multiple short arithmetic series

I am struggling to apply the arithmetic series formula in solving this word problem below, and any help would be appreciated: The Problem: Hercy wants to save money for his first car. He puts money in ...
2answers
53 views

### How to solve the system of equations like this one? [closed]

I have a hidden linear function: $f(x)=a*x+b$. For example $f(x)=2*x+3$ A hidden function $f$ was executed on some hidden input $x$=(0,1,3,4) and we have access only to output \$y=(f(0)=3, f(1)=5, ...)=...