Hi J,
I must say the concept that you discuss are not found in any of the books, thanks for posting such concepts.
I have a doubt to rectify, would you please share your mail id or drop me a mail at saurabh9gupta@gmail.com

This is exactly what I was searching for. I have come across similar questions and was not sure how to solve them. Thanks a lot and keep up the good work ðŸ™‚

When cubes there are only 5 possible remainders… How did you find this out ? Is there a method to find this because this could be very helpful during exams. Or is it just trial and error ?

Vaibhav, try numbers from 13k, 13k+1, 13k+2….13k+12 and check the remainders of their cubes with 13. You will find there are only the above possibilities.

Hi J! I found your post really helpful.. but I am not getting the solution of q1. If it was asked to have the minimum number of boxes with the same number of oranges, then the answer would had been 4 , am I right? Your post probably has an error in the final answer part.. ðŸ™‚

No, the minimum value would have been 0. There could be 0 boxes having a particular number! But this is a different question – it is asking for a minimax, that is, the minimum value of the maximum possible number. Read the earlier 3 posts again.

Let me phrase it differently. Suppose I say, you want to find the mode of the distribution, what could be the least possible value for the mode? You will find that it could be 5 but not less.

Hi J,

I must say the concept that you discuss are not found in any of the books, thanks for posting such concepts.

I have a doubt to rectify, would you please share your mail id or drop me a mail at saurabh9gupta@gmail.com

This is exactly what I was searching for. I have come across similar questions and was not sure how to solve them. Thanks a lot and keep up the good work ðŸ™‚

When cubes there are only 5 possible remainders… How did you find this out ? Is there a method to find this because this could be very helpful during exams. Or is it just trial and error ?

Vaibhav, try numbers from 13k, 13k+1, 13k+2….13k+12 and check the remainders of their cubes with 13. You will find there are only the above possibilities.

regards

J

In natural number question we have to find out max number of set of number that should be 29+3=31 instead of 29.

i mean 32

Is there any thumb-rule for identifying pigeons and pigeonholes in a problem?

Not really….you have to use common sense, which is what makes it so difficult for a lot of people ðŸ˜›

regards

J

Hi J! I found your post really helpful.. but I am not getting the solution of q1. If it was asked to have the minimum number of boxes with the same number of oranges, then the answer would had been 4 , am I right? Your post probably has an error in the final answer part.. ðŸ™‚

No, the minimum value would have been 0. There could be 0 boxes having a particular number! But this is a different question – it is asking for a minimax, that is, the minimum value of the maximum possible number. Read the earlier 3 posts again.

Let me phrase it differently. Suppose I say, you want to find the mode of the distribution, what could be the least possible value for the mode? You will find that it could be 5 but not less.

regards

J