CAT Quantitative Aptitude Questions | CAT Number Theory - Digits questions

CAT Questions | Number Theory | Last two Digits

The question is about finding the Last two Digits. We need to find out the last two digits of a number which is ultimately the remainder when that number is divided by 100. Dealing with digits and base system of a number is a vital component in CAT Number Systems. A range of CAT questions can be asked based on this simple concept in the CAT Exam.

Question 4: What are the last two digits of the number 745?

  1. 07
  2. 23
  3. 49
  4. 43

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Explanatory Answer

Method of solving this CAT Question from Number Theory - Digits: Remainder when we divide a number by 100 is nothing but the last two digits of the number.

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.

The question is "What are the last two digits of the number 745?"

Hence the answer is "07"

Choice A is the correct answer.


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