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What you have to do here is find the least common multiple of 46 and 8, then add 3.

Q: What is the smallest number which when divided by 46 or 8 has a remainder of three?

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Try 27

5. To leave a remainder of 1 when divided by 2, the number must be odd. To leave a remainder of 2 when divided by 3, the number must also be two more than a multiple of 3. The multiples of 3 which are odd are 1 x 3, 3 x 3, 5 x 3, etc. The smallest odd multiple of three is 1 x 3 = 3 ⇒ required number is 3 + 2 = 5.

Yes Example: 1234567 divided by 1000 has a remainder of 567.

787409579-475490949-8498902757209

No prime number can be divided by 4 exactly.

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Try 27

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5. To leave a remainder of 1 when divided by 2, the number must be odd. To leave a remainder of 2 when divided by 3, the number must also be two more than a multiple of 3. The multiples of 3 which are odd are 1 x 3, 3 x 3, 5 x 3, etc. The smallest odd multiple of three is 1 x 3 = 3 ⇒ required number is 3 + 2 = 5.

17

One possibility is 138.

Yes Example: 1234567 divided by 1000 has a remainder of 567.

300

787409579-475490949-8498902757209

No prime number can be divided by 4 exactly.

You take 3x7+4=25 :)

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