# NSE Numerical IQ Test no.12: 759802, 358829, 847123,?

This is a question from the NSE Numerical IQ Test by Theodosis Prousalis and Ivan Ivec:

12) 759802, 358829, 847123, ?

After 2 hours, I can't figure out the answer. I've only made these observations:

1. 829 - 358 = 471 with appears in the next number.
2. From 02 to 35 you need 33
3. From 29 to 84 you need 55
4. 759 + 88 = 847
5. 123 + 759 = 882

But I'm not sure if these observations are helpful to solve this sequence.

What is the next number?

I think x is:

328352

The pattern seems to be:

Add digits next to each other, and then add the digits of that sum to get a single digit, wrap the first number around as the "next" digit to be added with the last digit.

Example:

7 + 5 = 12 --> 3
5 + 9 = 14 --> 5
9 + 8 = 17 --> 8
8 + 0 = 8 --> 8
0 + 2 = 2 --> 2
2 + 7 = 9 --> 9

Therefore x is:

8 + 4 = 12 --> 3
4 + 7 = 11 --> 2
7 + 1 = 8 --> 8
1 + 2 = 3 --> 3
2 + 3 = 5 --> 5
3 + 8 = 11 --> 2

• I checked with the website and it is correct! +1
– Duck
Jun 19, 2019 at 18:02