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Question

A teacher was doing some calculation exercise on the blackboard. When the teacher went out, a naughty student Chunmun erased some of the numbers written on the blackboard. Now, it appeared like this

When teacher entered the room, he realized that still, this calculation was right, but in some other system of writing (i.e., not 10). How many digits are there in that system?

A
11
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B
9
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C
7
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D
8
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Solution

The correct option is C 7

Here, the key is the numbers written bold letters. When 5 and 4 are added in the decimal system, the value is equal to 9. However, its units digit here is represented by 2. From the given options. only option (c) is satisfying this equation.

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