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If a number X leaves a remainder 3 when divided by 9005, then what is the remainder when X is divided by 5?
  • a)
    0
  • b)
    1
  • c)
    2
  • d)
    3
  • e)
    4
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
If a number X leaves a remainder 3 when divided by 9005, then what is ...
To solve this problem, we need to use the concept of remainders and the properties of divisibility.

Let's start by considering the number X that leaves a remainder of 3 when divided by 9005. This can be represented as:

X ≡ 3 (mod 9005)

Now, we need to find the remainder when X is divided by 5. In other words, we need to find the value of X modulo 5.

To find the value of X modulo 5, we can simplify the given congruence equation by taking modulo 5 on both sides:

X ≡ 3 (mod 9005)
X ≡ 3 (mod 5)

Taking modulo 5 on both sides, we can simplify the equation as follows:

X ≡ 3 (mod 5)

This equation tells us that X has a remainder of 3 when divided by 5. Therefore, the answer is option D: 3.

In summary, if a number X leaves a remainder of 3 when divided by 9005, then the remainder when X is divided by 5 is also 3.
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If a number X leaves a remainder 3 when divided by 9005, then what is the remainder when X is divided by 5?a)0b)1c)2d)3e)4Correct answer is option 'D'. Can you explain this answer?
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