Brilliant !!!

Number Theory Level 2

Find the next term:

2 , 18 , 9 , 12 , 12 , 9 , 1 , 14 , ? \large 2,18,9,12,12,9,1,14, ?

Note: Think out of the box. This problem has nothing to do with traditional series problems.

Hint: The answer is hidden on the page you are viewing.

24 12 8 20

Ashwin Upadhyay by Ashwin Upadhyay , 21, India

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4 solutions

Ashwin Upadhyay
Feb 24, 2015

a = 1 a=1 , b = 2 b=2 , c = 3 … c=3 \dots and so on

The pattern is the words of B r i l l i a n t Brilliant

b = 2 b=2 , r = 18 … r=18\dots hence the answer is t = 20 \boxed {t=20}

13 Helpful 0 Interesting 2 Brilliant 0 Confused

HAHAHAHAHA, I SOLVED IT THE SAME WAY. THANKS FOR THE HINT.

Ashish Menon - 5 years, 5 months ago

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Well I think it's almost impossible to solve this problem without the hint. And I am glad u liked the problem.

Ashwin Upadhyay - 5 years, 5 months ago

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Well, it might be possible for Einstein you know. LOL :-)

Ashish Menon - 5 years, 5 months ago

Awesome problem. TOB!!! You have to. Btw we solved many such problems in our school MAT classes

Abhiram Rao - 5 years, 1 month ago

I almost gave up then I started looking for the sort of palindrome 9,12,12,9 and saw it in the "illi" of Brilliant. Well played, sir.

Jeremy Galvagni - 2 years, 11 months ago

I tried to solve for 10 minutes, and then I give up. Never thought of why this question is titled "Brilliant"... :)

Uttam Manher - 2 years, 11 months ago

By the way, I don't think its number theory question. It is just a puzzle type question.

akash patalwanshi - 2 years, 11 months ago

Solved it in 20 seconds.

Hans Gabriel Daduya - 2 years, 11 months ago
Chew-Seong Cheong
Jul 11, 2018

A = 1 A=1 , B = 2 B=2 , C = 3 C=3 , ...

B R I L L I A N T 2 18 9 12 12 9 1 14 20 \begin{array} {ccccccccc} B & R & I & L & L & I & A & N & T \\ 2 & 18 & 9 & 12 & 12 & 9 & 1 & 14 & \boxed{20}\end{array}

9 Helpful 0 Interesting 0 Brilliant 0 Confused

This is a bit crazy one when I go through the hints. Sir, while it's seems good . Upvoted. :)

Naren Bhandari - 2 years, 10 months ago

It's a funny & tricky question :-D The series of numbers represent alphabetic order like A=1, B=2, C=3......... :-) The series contains the word "BRILLIANT" :-) B=2, R=18,I=9..... so the answer is the last letter 'T' = 20 :-D

4 Helpful 0 Interesting 0 Brilliant 0 Confused
Noel Lo
Jul 11, 2018

Study the word BRILLIANT and convert the letters into numbers based on their respective positions in the alphabet:

B-2, R-18, I-9, L-12, L-12, I-9, A-1, N-14 and T is the 20th letter of the alphabet!!! There you go!!!

1 Helpful 0 Interesting 0 Brilliant 0 Confused

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