# CAT Practice : Number System

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Remainder when we divide a number by 100 is nothing but the last two digits of the number.

## Last two digits

Q.4: What are the last two digits of the number 745?
1. 07
2. 23
3. 49
4. 43

Choice A. 07

## Detailed Solution

The last two digits of 71 are 07.
The last two digits of 72 are 49.
The last two digits of 73 are 43.
The last two digits of 74 are 01.

The last two digits of powers of 7 go in a cycle - 07, 49, 43, 01.

So, the last two digits of 745 are 07.

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