**Question: **Sarika multiplied 414 by certain number and obtained 69958 as the answer. But she found that there is some error in the answer - both the 9s in the answer are wrong and all the other digits are correct.

Can you find the correct answer?

**Answer:**

he correct answer is 60858.

If you divide 69958 by 414, you will get 168.98. Hence, assume some three digit number and multiply it by 414 and use 6**58 as the answer.

Assume three digit number such that

* * *

4 1 4

-------------

* * *

* * * 0

* * * 0 0

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6 * * 5 8

It is obvious that the last digit of the assumed number must be 7.

* * 7

4 1 4

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* * 8

* * 7 0

* * 8 0 0

-------------

6 * * 5 8

Now, the second last digit of the assumed number must be 4 or 9. Also, the first digit of the assumed number must be 1 as the first digit of the answer is 6. Using trial and error for above two conditions, the answer is

1 4 7

4 1 4

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5 8 8

1 4 7 0

5 8 8 0 0

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6 0 8 5 8