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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?
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Answer / guest
The 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
-------------
6 * * 5 8
It is obvious that the last digit of the assumed number must
be 7.
* * 7
4 1 4
-------------
* * 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
-------------
5 8 8
1 4 7 0
5 8 8 0 0
-------------
6 0 8 5 8
| Is This Answer Correct ? | 12 Yes | 0 No |
Answer / cami
Or, you can notice that 414 is divisible by 9 (because its
digits add to a multiple of 9). Therefore, 6xx58 must also
be a multiple of 9. 6+5+8 is 19, so the remaining digits
must either add to 8 or 17. So there are 11 possibilities
to try: 60858, 61758, 62658, 63558, 64458, 65358, 66258,
67158, 68058, 68958, and 69858. The only one that comes
out even when divided by 414 is 60858, which was luckily
the first one I tried!
| Is This Answer Correct ? | 5 Yes | 2 No |
Answer / kushwah.india@gmail.com
414 is divisible by
So 6xy58 be divisible by 9
so 6+x+y+5+8=19+x+y is divisible by 9
so x+y =8 or x+y=17$
Taking x=0 ,y=8
Then No= 60858
and 60858/414=147
So 60858 is correct answer
| Is This Answer Correct ? | 0 Yes | 0 No |
Answer / suvarna raju
414 is devisible by 9.
6**58 should be devisible by 9.
sum of digits of 6**58 is 19 and it need another 8.
so the number should be............64458
| Is This Answer Correct ? | 0 Yes | 5 No |
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