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3. Let x be a number between 400 and 900 (i.e. the lower and upper bounds...

3. Let x be a number between 400 and 900 (i.e. the lower and upper bounds for x are 400 and 900 respectively).

• Anna knows that the remainder of dividing x over 11 is 10.

• Bob knows that x ≡ 4 (mod 13).

• Carl knows that x Mod 17 is equal to 13.

a) Find x.

b) Show that when only Anna and Bob share their information, we cannot find a unique solution for x.

c) What should be the upper bound for x if only Bob and Carl share their information and we want to find a unique solution for x.

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