I have 10 songs with me. On my way home, I want to listen to 30 songs (some songs will be repeated). However, I don't want to listen the same song again too soon. Precisely, there should be at-least an interval of 5 songs before I hear the same song again.
Example: Say, I have songs A, B, C, D, E,..
Then, the playlist A,B,C,D,E,F,A,B,C,D,E,F...is valid but the playlist A,B,C,A,... is not valid because there are only 2 songs between 2 occurrences of song A.
How many playlists can I have?
Sneak Peek
I was going to throw in these problems in the next One Round Match, but it turns out 6th semester at IIT is pretty heavy and I don't get enough time to set up the contest website. So, here is a simple question for you. Choose ONE word/phrase which best explains the phenomenon:
Q1)Washing machine detergents are different from hand-wash detergents.
Q2)Life is all about replication (and duplication). So, life is carbon based and not silicon based.
Q3)Life is also about making and breaking bonds with oxygen. So, life is carbon based and not silicon based.
Note: 'Life' here refers to biological life (cells, DNA etc). And finally we have a chemistry question on the blog!
Q1)Washing machine detergents are different from hand-wash detergents.
Q2)Life is all about replication (and duplication). So, life is carbon based and not silicon based.
Q3)Life is also about making and breaking bonds with oxygen. So, life is carbon based and not silicon based.
Note: 'Life' here refers to biological life (cells, DNA etc). And finally we have a chemistry question on the blog!
Match 1 results
Name Section1 Section2 Section3 Score
Simarjit 24.5 5 50.85 250
lalitkundu1995 24.5 1500 47.122 250
deboshish 24.5 6 18.84 250
rishabh 24.5 900000 24.60504 250
Pulkit 24.500 5.000 143.325 250
himanshu 24.5 0 0.206 250
shivam 24.500 750.000 0.457 250
luv.this.world@gmail.com 24.500 5.000 143.325 250
rohin 24.500 31363636.363 18.840 250
prateekchaudhry 24.500 450000.000 18.840 250
rockon 28.000 0 0 0
rahuljain2410 0 0 0 0
addas1395 29.500 0 0 0
happy 14.500 0 0.206 0
abhishek 14.500 0 0.206 0
hbk 0 0 0 0
abcd 0 0 0 0
lakshaybansal 21.500 450000.000 26.92714 0
sandeep 0 0 0 0
rajatjain 0 0 0 0
admin 12 3123 312 0
Mayank 0 0 0 0
akhilkumar 29.952 4500.000 47.100 0
sumantra 0 0 0 0
vipulverma 0 0 0 0
shubhamsinghspecial 0 0 0 0
vinayak 0 0 0 0
vipulverma10 0 0 0 0
MayankJain 0 0 0 0
NEXUS 0 0 0 0
One Round Match 1: Editorial
Question 1
I thought that Question 1 would be pretty simple, yet many people got a wrong answer.
Here, we subtract the colored area in the 1st figure from the colored area in the 2nd figure.
A1=.5*(1*3+11*4)
A2=.5*(8*1+13*3+13*1+18*2)
The answer is A2-A1=24.5 units.
Question2
The basic idea was to take an elemental ring at a distance x from the apex. The common mistake in this question would be in the wrong interpretation of the "width" of the ring.
In the 1st diagram, the small black line is dx, while the small red line is the length we are most interested in. Now, we simply write the equations and use an online integrator to get the answer:
Question 3
The obvious way to start is to find the field inside the charged material. Assume that the charged material is composed of infinitely many 'large' charged plates. Use the fact that the field due to each plate is independent of its distance from the plate. :)
Answer: 750 V
If you find a mistake in the solutions, please leave a comment.
One Round Contest 1: Review
We had a lot of complications during the contest. First, the images did not appear. Next, our database for storing your answers was not working. Thankfully, these issues were resolved by 5:45 pm and contestants had a chance of re-submitting.
12 people entered the contest and 3 people submitted answers. This was very disappointing for us as a lot of effort had gone into creating the website.
We'll post the results and solutions in a few days. Till then, feel free to try the problems, and we'll check your submissions anyway. Frankly, they are not difficult at all and I would expect every JEE aspirant to be able to think of the solutions atleast to the 250 and 500 point problems.
12 people entered the contest and 3 people submitted answers. This was very disappointing for us as a lot of effort had gone into creating the website.
We'll post the results and solutions in a few days. Till then, feel free to try the problems, and we'll check your submissions anyway. Frankly, they are not difficult at all and I would expect every JEE aspirant to be able to think of the solutions atleast to the 250 and 500 point problems.
One Round Contest 1:
We are launching our new website now. The first contest will start on 08/01/2012 at 5pm IST and end at 6pm.
To participate in the test, you should register yourself on the website and familiarize yourself with the interface. The contest will be rated i.e. you will receive a 'rating'
based on your performance.
For the rules, read this.
We hope that the contest will be fun and educating at the same time!
To participate in the test, you should register yourself on the website and familiarize yourself with the interface. The contest will be rated i.e. you will receive a 'rating'
based on your performance.
For the rules, read this.
We hope that the contest will be fun and educating at the same time!
2012 is here, time to try something new
Disclaimer: the following may never happen. Still, I am saying it loud as suggested in "The Monk who sold his Ferrari"
We 'plan' to start a new website where we will host tests. You will have to register for a test. The test will start at a certain time and close automatically at a later time. There will be a small number of questions, of level equal to those asked in the blog.
You will be assigned a 'rating' based on your performance in the tests. Performance will be judged by the correctness of your answer and by the time taken to submit the correct answer. From the 2nd test onwards, there will be different problem sets for people in different rating ranges.
Such a test is called a Match. "A One Round Match". We hope to conduct a match by 4th Jan. Hope you all participate!
We 'plan' to start a new website where we will host tests. You will have to register for a test. The test will start at a certain time and close automatically at a later time. There will be a small number of questions, of level equal to those asked in the blog.
You will be assigned a 'rating' based on your performance in the tests. Performance will be judged by the correctness of your answer and by the time taken to submit the correct answer. From the 2nd test onwards, there will be different problem sets for people in different rating ranges.
Such a test is called a Match. "A One Round Match". We hope to conduct a match by 4th Jan. Hope you all participate!
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