Recent questions tagged numerical-answer

2 votes
1 answer
241
Let $\text{S}$ be the set of all points $(x,y)$ in the $x-y$ plane such that $|x|+|y|\leq 2$ and $|x|\geq 1$. Then, the area, in square units, of the region represented b...
1 votes
1 answer
242
2 votes
1 answer
243
With rectangular axes of coordinates, the number of paths from $(1,1)$ to $(8,10)$ via $(4,6)$, where each step from any point $(x,y)$ is either to $(x,y+1)$ or to $(x+1,...
1 votes
1 answer
244
2 votes
1 answer
245
1 votes
1 answer
246
For any positive integer $n$, let $f(n)=n(n+1)$ if n is even, and $f(n)=n+3$ if n is odd. if $m$ is a positive integer such that $8f(m+1)-f(m)=2$, then $m$ equals ______...
1 votes
1 answer
248
Consider a function $f$ satisfying $f(x+y)=f(x)f(y)$ where $x,y$ are positive integers, and $f(1)=2$. If $f(a+1)+f(a+2)+\ldots +f(a+n)=16(2^{n}-1)$ then $a$ is equal to _...
2 votes
1 answer
249
If $a_{1}+a_{2}+a_{3}+\dots+a_{n}=3(2^{n+1}-2)$, for every $n\geq 1$, then $a_{11}$ equals ______
2 votes
1 answer
250
In a race of three horses, the first beat the second by $11$ metres and the third by $90$ metres. If the second beat the third by $80$ metres, what was the length, in met...
1 votes
1 answer
251
5 votes
1 answer
252
AB is the diameter of the circle and the points C and D are on the circumference such that $\angle CAD=30^o$. What is the measure of $\angle ACD$?