Mathematics · Modular Arithmetic

If X = 11 and Y = 3, then the congruence relation X mod Y = (X + aY) mod Y holds:

Verified Solution4 OptionsUpdated: October 2026👁️1 View

1For a = 0 only
2For all integral values of a✓
3Only for odd integral values of a
4Only for even integral values of a

Correct answer

For all integral values of a

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If X = 11 and Y = 3, then the congruence relation X mod Y = (X + aY) mod Y holds:

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If X = 11 and Y = 3, then the congruence relation X mod Y = (X + aY) mod Y holds:

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