Problem Solving

Steps:
Test with simpler things..Then apply the rule of Mathematical Induction

1. 3/2
2. 3+1/2+1
3. 3+1+1/2+1+1

No clue what you mean by Mathematical Induction.

Rastis wrote:No clue what you mean by Mathematical Induction.

I understand your problem.

Tell me...which of them is bigger....
1) 3/2 or (3+1)/(2+1)
2) 4/3 or 5/4
3) 1001/1000 or 1002/1001

by the time you do the third one you will understand the logic what others are trying to explain.

user123321

1) 3/2 or (3+1)/(2+1)
2) 4/3 or 5/4
3) 1001/1000 or 1002/1001

1) 3/2?
2) 4/3?
3) Aren't they the same?

I'm still pretty confused.

Rastis wrote:pemdas,

Your explanation went way over my head. Is there a different way of explaining it? I'm probably more confused now than I was before.

let me clear the things here

(also I'd withhold from considering the answer choices as messy numbers, because we have clearly observable patterns amongst the given choices)

let's take reciprocals of all answer choices
We have now the following situation

A. 1876452/1876455

B. 1883446/1883449

C. 1883453/1883456

D. 1883456/1883459

E. 1883491/1883494

let's keep the same question for now

Which of the following numbers is the greatest?

I am inviting you to use rule 1

Rule 1: whenever you compare large numbers in a numerator and a denominator, if the numerator is less than the denominator this number will be tending to the value of 1/2. The larger the numbers in the numerator and the denominator the closer the number to the value of 1/2.

Why we are using rule 1? Because the numerator is less than denominator here. By quickly skiming over all answer choices, you could see that the largest numbers in the numerator and the denominator are contained in the answer choice E. 1883491/1883494. Hence this ratio is the greatest.

If your new question would be:

Which of the following numbers is the lowest?

You would have to select choice A. 1876452/1876455

OK, now let's return to the original question format with not reciprocated answer choices and use our rules once again

Which of the following numbers is the greatest?
A. 1876455/1876452

B. 1883449/1883446

C. 1883456/1883453

D. 1883459/1883456

E. 1883494/1883491

What's going on here?
We have all numerators set greater than their respective denominators (there's a strong pattern, and these numbers are not messy)
Use rule 2

Rule 2: whenever you compare large numbers in a numerator and a denominator, if the numerator is greater than the denominator this number will be extended from the value of 1/2. The less the numbers in the numerator and the denominator the farther the number from the value of 1/2.

The least numbers in the numerator and denominator we have in choice A. 1876455/1876452

do you understand now?


>>>I am also attaching Excel worksheet to assure all those who would like to test my numbers.

>>> before I went and posted 2 rules which I derived last December, I tested this method about hundred times (!) on different days with various numbers. I hope some one will make use of this in exam, as I have included this in my own notes.

No

They are all three numbers apart so I do not see how you can apply the rules.

have a look at this question
https://www.beatthegmat.com/closest-valu ... 01059.html
this will aid your attention for the original question too

Sorry, but that just confuses me even more for I do not understand that example question. I'm just going to give up on this one. Thanks for all your help and everyone else's.