Please help me with the basic math problem...

A

Amit_2020

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The question is:
If "n" is a natural number, n^2(n^2 - 1) is always divisible by a. 12, b. 24, c. 12-n or d. 6? The answer in the book is given as 12 but my question is why not 6.
 
Amit_2020 said:
The question is:
If "n" is a natural number, n^2(n^2 - 1) is always divisible by a. 12, b. 24, c. 12-n or d. 6? The answer in the book is given as 12 but my question is why not 6.
Click to expand...
Is your question based on your solution? Do you think the expression is not always divisible by 4? Why?
 
lev888 said:
Is your question based on your solution? Do you think the expression is not always divisible by 4? Why?
Click to expand...
There are 4 options given in the answer to choose from. I went for the option with value 12 (which is also mentioned as the correct answer in the book) but if a number is divisible by 12 then it must be divisible by 6 also, which is also one of the options. Then why should we choose 12 and not 6.
 
Amit_2020 said:
There are 4 options given in the answer to choose from. I went for the option with value 12 (which is also mentioned as the correct answer in the book) but if a number is divisible by 12 then it must be divisible by 6 also, which is also one of the options. Then why should we choose 12 and not 6.
Click to expand...
You are correct, 6 is a valid answer. The question should've asked for the largest divisor. Anyway, 6 is not as interesting as 12.
If you see a plane flying backwards, what do you tell a friend later? "I saw a plane" would be technically correct, but not as correct as "I saw a plane flying backwards".
 
Amit_2020 said:
The question is:
If "n" is a natural number, n^2(n^2 - 1) is always divisible by a. 12, b. 24, c. 12-n or d. 6? The answer in the book is given as 12 but my question is why not 6.
Click to expand...
If you choose 12 ..... 6 is included(and 4 is included).

However

If you choose 6 ..... 12 is NOT included (and 4 is NOT included).
 
lev888 said:
You are correct, 6 is a valid answer. The question should've asked for the largest divisor. Anyway, 6 is not as interesting as 12.
If you see a plane flying backwards, what do you tell a friend later? "I saw a plane" would be technically correct, but not as correct as "I saw a plane flying backwards".
Click to expand...
All things being possible;
 
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