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3n-2n-1 is divisible by 
  • a)
    15
  • b)
    4
  • c)
    6
  • d)
    64
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
3n-2n-1 is divisible bya)15b)4c)6d)64Correct answer is option 'B'. Can...
Solution:

To check the divisibility of 3n-2n-1, we need to simplify the expression.

3n-2n-1 = n-1

Now we have to check the divisibility of (n-1) by 4.

For a number to be divisible by 4, the last two digits of the number must be divisible by 4.

Let's take some examples to understand this concept.

- If n=5, then (n-1)=4, which is divisible by 4.
- If n=24, then (n-1)=23, which is not divisible by 4.

We can observe that if we take any value of n, (n-1) will not be divisible by 2 but it can be divisible by 4. Hence, option 'B' is the correct answer.

Answer: (b) 4
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Community Answer
3n-2n-1 is divisible bya)15b)4c)6d)64Correct answer is option 'B'. Can...
=3^4-2(4)-1

=81-8-1

=72

now divided 72 by 4 and 72 gets divided completely by 4 so the answer is 4
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3n-2n-1 is divisible bya)15b)4c)6d)64Correct answer is option 'B'. Can you explain this answer?
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