# CAT Quantitative Aptitude Questions | CAT Number Theory - Digits questions

###### CAT Questions | Number Theory | Test of Divisibility CAT Questions

The question is about Test of Divisibility. We need to find out the 7 digit numbers divisible by 43 and then which is the minimum one among them. 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 10: Which among the following is the smallest 7 digit number that is exactly divisible by 43?

1. 1000048
2. 1000008
3. 1000006
4. 1000002

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##### Method of solving this CAT Question from Number Theory - Digits: How we would find out a 7 digit multiple of a two digit prime number?

The smallest 7 digit number is 1000000

43 – 35 = 8
So adding 8 to 1000000 makes it completely divisible by 43.

The question is "Which among the following is the smallest 7 digit number that is exactly divisible by 43?"

##### Hence the answer is 1000008

Choice B is the correct answer.

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