₦airaland Forum

ladokuntlad:
dats the only number dat serves as a division identity to all numbers i.e the only number dat givs same ansa wen divided by any number

stlaibrowne:
The challenge is allowed. And that's the more reason I love the course after all so bring it on. I am on the altar now praying they bring the electricity early

stlaibrowne:
The challenge is allowed. And that's the more reason I love the course after all so bring it on. I am on the altar now praying they bring the electricity early

Karmanaut:
Yeah, a programmable calculator.
Looks like this:
https://upload.wikimedia.org/wikipedia/commons/thumb/7/7d/Voyage200.jpg/1200px-Voyage200.jpg
Costs $223(Approximately #45, 000) on Amazon.

LORDDICE:
wow!! nice 'device' u got there

Karmanaut:
Used to have.
Gave it out as a birthday gift.
If you have an Android device you can run the calculator's ROM on an emulator: Graph89.

Karmanaut:
Can you do Putnam?

stlaibrowne:
Do you mean Putnam competition. Well I haven't participate in the competition before but yes I can try it.

Karmanaut:
Show that 2x+3y and 9x+5y are divisible by 17 for the sake set of x and y.

ladokuntlad:
As e dey hot
make we start from somewhere
Dis one naa for 300level-500level students

Karmanaut:
On Number Theory:
Find the last two digits of 3²⁰¹⁴

.

stlaibrowne:
Question 1:
X=2
Y=3

ladokuntlad:
boss
A-B-d=2 are coefficients for constants
i.e constants on the LHS is 2 which corresponds to A-B-D on the RHS

ladokuntlad:
In naija arguing tone


I give una d whole of this year

ladokuntlad:
U jst square it dats all
And mind u breaking down 2x²-3x+1 give (2x-1)(x-1)
And square it

Madmathecian:
Hmm, are those Olympiad questions really for secondary school pupils? And the exam is four hours no calculator.

all4naija:
Why do you plug it into the formula and get me the result?

ladokuntlad:
because dat is wat is required todo.
Or wat do u expect one todo again?

ayokunlei:
Thanks. Have gotten iti

all4naija:
Do it and post the full work here. Thank you.

ladokuntlad:
Sorry am using a crappy fone so pix aint clesr enough

ladokuntlad:
first,
3¹=3 (mod 10)
3²=9 (mod 10)
3³=7 (mod 10)
3⁴=1 (mod 10)
3⁵=3 (mod 10)
3⁶=9 (mod 10)
its kips repeating itself

Now let us use a multiple dat will b simply giv us 1^{any number}
i.e multiple of last digit one falls under 4.
2014mod20=14
3^20(100)x3¹⁴
(1)¹⁰⁰x(69)
1x69
=69
thus 69 is the last two digits

icecalm:
I don't know how you got the second to the last digit but the last digit is correct. What about questions like find the last three digits of 2¹⁰⁰⁰⁰⁸

all4naija:
Pi is missing from your solution and I am interested in seeing the expanded answer.

ladokuntlad:
last tree digit baaa? use mod 100 first am coming make i put am for paper

Laplacian:
1.) the sum of the largest two angles in d heptagon is 315 degrees
2.) the largest number wit that property is 1863, when divided by 1000, the remainder is 863

ladokuntlad:
U missed number 1.
Its 162+171=333
U got number two though

ladokuntlad:
In naija arguing tone

Dis a situation wia google doesnt even have the answer

If e sure for u ansa dis ones.

I give una d whole of this year
cc:stlaibrowne, MathsChic, Karmanaut, Laplacian, madmatician, agentofchange1, masperano, bolkay47, Madmathecian, killsmith, Ayomide002.
NO MORE BABY MATHS
Note: strictly for graduates and post graduates students.

Laplacian:
there are only two heptagons meeting the conditions, sum of their respective angles are;
144+171=315 and
153+162=315