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A six digit number of the form abcabc is written where a, b, c∈I+, then which statement is true about this number?

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Important Questions on Number System

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Quantum CAT Also Useful for XAT>Chapter 1 - SNAP>CMAT>Q 20
How many natural numbers upto 1155 are divisible by either 5 or 7 but not by 11?
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Quantum CAT Also Useful for XAT>Chapter 1 - SNAP>CMAT>Q 21
The number of solution set (x, y) for the given equation 4x+7y=3, such that -99≤x≤99 and -100≤y≤100, where x, y∈I:
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Quantum CAT Also Useful for XAT>Chapter 1 - SNAP>CMAT>Q 22
When any two natural numbers N1 and N2, such that N2=N1+2 are multiplied with each other, then which digit appears least time as a unit digit if N2≤1000?
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Quantum CAT Also Useful for XAT>Chapter 1 - SNAP>CMAT>Q 23
In the above problem (no. 22), if all such unit digits will be added the maximum sum can be:
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Quantum CAT Also Useful for XAT>Chapter 1 - SNAP>CMAT>Q 24
A diamond expert cuts a huge cubical diamond into 960 identical diamond pieces in minimum number of 'n' cuts. If he wants to maximize the number of identical diamond pieces making same number of n cuts to it, so the maximum number of such diamond pieces are:
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Quantum CAT Also Useful for XAT>Chapter 1 - SNAP>CMAT>Q 25
The sum of all the factors of 45000 which are exactly the multiples of 10 is:
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Quantum CAT Also Useful for XAT>Chapter 1 - SNAP>CMAT>Q 26
The unit digit of the expression (1!)1!+(2!)2!+(3!)3!+…+(100!)100! :
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CAT
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Quantum CAT Also Useful for XAT>Chapter 1 - SNAP>CMAT>Q 27
When (1!)1!+(2!)2!+(3!)3!+…+(100!)100! is divided by 5, the remainder obtained is: