Bonus Question 16.07.09
Find the number of solutions in distinct positive integers of x^4+y^4=z^4
A) 0 B) 1 C) 2 D) 3 E) More than 3
Ultimate Quant Marathon Blog For IIM CAT
For All Your Quant Queries
Subscribe Options
Verbal
- Para Jumbles 19.08.09
- Fill In the blanks 08.08.09
- Fill In The Blanks 05.08.09
- Para Jumbles 05.08.09
- Para Jumbles 04.08.09
Categories
- Algebra
- Announcements
- Arithmetic
- CAT 2008
- CAT 2009
- Combinatorics
- concepts
- Conundrum
- Coordinate Geometry
- Data Sufficiency
- Functions
- General
- Geometry
- IIM Interview Experiences
- Inequalities
- Mock Cat
- Mock Quant
- Number Thoery
- Online CAT
- Power Play
- Prime Numbers
- Probability
- Problem of the week
- Problems
- Tips
Recent Posts
- Problem of the day 26.08.09
- Problem of The day 06.08.09
- Problem of the Day 30.07.09
- Bonus QUestion 28.07.09
- Problem of the day 28.07.09
Blogroll
- Art of Problem Solving
- CAT Material (free)
- Math Lessons
- Pagal Guy
- Pagalbille
- Test Funda
- Verbal Logic
concepts
Problems
Top Posts
- Concept 4 Prime Numbers
- Gejo's Way Of Approaching The Quants Section
- Concept 1 Perfect Squares
- Mini Concept: Multinomial Theorem
- Problem Of The Week 48
Recent Comments
| gaurav on Problem Of the Day 26.07.… | |
| praveen on Problem of the day 26.08.… | |
| SHASHWAT SHARMA on IIM L Interview Experienc… | |
| ujjawal kumar on Concept 4 Prime Numbers | |
| Suja on Problem Of The Week 19 |
Blog Stats
- 78,275 hits
Online Users
Archives
My Twitter!
- I liked a @YouTube video youtu.be/RFfiHwvd7zM?a Khudaaya Full Song | Shanghai | Emraan Hashmi, Abhay Deol, Kalk 20 hours ago
- Beautiful Song (@YouTube youtu.be/RFfiHwvd7zM?a) 20 hours ago
- I liked a @YouTube video youtu.be/jsY8Nfi5Hik?a Khudaaya Song | Shanghai | Emraan Hashmi, Abhay Deol, Kalki Koe 6 days ago
- I liked a @YouTube video youtu.be/8FMz_KT1mC4?a Duaa Shanghai Full Song | Emraan hashmi, Abhay Deol, Kalki Koec 6 days ago
choice A) 0 ??
Sam
July 17, 2009 at 9:34 am
rahul,can u tell the solution of this question
Prateek
July 17, 2009 at 9:48 am
it’s the fermat’s last theorem.And no one till date has been able to prove this.
x^n + y^n = z^n for n>2 (does not hold).
yodha
July 17, 2009 at 3:13 pm
answer : 0
yodha’ sol sounds correct .
but in case a person isnot aware of fermat’s last theorem then what ??
nikhil
July 18, 2009 at 6:52 am
the solution is right..
we do not have a perfect solution for this question.
but intutively we can solve this
Rahul
July 23, 2009 at 6:46 am
clearly 0 is a solution
ANKIT PANGHAL
August 10, 2009 at 10:04 am
i would like to clearify that its the fermat rule that
x^n + y^n = z^n…n>=3 has no sloution…else we can solve it by jst hit n trial and reach the solution
ANKIT PANGHAL
August 13, 2009 at 4:27 am
Fermat’s last theorem states that there is no NON trivial solution for the equation written above for n > 2. (0,0,0) is always a solution to such equation for all n>0.
Kshitiz
October 11, 2009 at 11:36 am
In Fermat’s last theorem n is integer. And it has been proven in 1993 by Andrew Wiles and Richard Taylor.
Kshitiz
October 11, 2009 at 11:37 am
intuitively, the fourth powers are 1,16,81,256,… etc.. for bigger numbers the gap between these fourth powers is too huge to be compensated by a smaller fourth power. so this equation can only be fulfilled among the smaller fourth powers. however as is evident from these numbers, no such combination is possible. so 0
Pranshu
November 10, 2009 at 2:46 pm