number arrangement machine when given an input line of words and numbers rearranges them following a particular rule in each step. The following is an illustration of input and rearrangement
![image.png](https://res.cloudinary.com/aptidude/image/upload/v1759767211/aptidude_questions/ifpskd7cwfqdttxsad1l.png)

Which of the following numbers is 2nd to the left of the number which is 3rd from the right end in Step III?

Question

number arrangement machine when given an input line of words and numbers rearranges them following a particular rule in each step. The following is an illustration of input and rearrangement
![image.png](https://res.cloudinary.com/aptidude/image/upload/v1759767211/aptidude_questions/ifpskd7cwfqdttxsad1l.png)

Which of the following numbers is 2nd to the left of the number which is 3rd from the right end in Step III?

Accepted Answer

**Solution:**

1. The given Step III sequence is:

$$64, 64, 25, 81, 01, 121, 09, 81, 36, 81$$

2. Identify the number which is 3rd from the right end:

- Counting from right to left: 1st is 81, 2nd is 36, 3rd is 81.

So, the number 3rd from the right end is **81** (the one before 36).

3. Now, find the number which is 2nd to the left of this 3rd from right number:

- The position of this 81 is 8th in the sequence (from left).

- 2nd to the left means 2 positions before 8th position, i.e., 6th position.

4. The number at 6th position is **121**.

**Answer:** (a) 121

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