Aptitude - Numbers - Discussion

Discussion Forum : Numbers - General Questions (Q.No. 51)
51.
476 ** 0 is divisible by both 3 and 11. The non-zero digits in the hundred's and ten's places are respectively:
7 and 4
7 and 5
8 and 5
None of these
Answer: Option
Explanation:

Let the given number be 476 xy 0.

Then (4 + 7 + 6 + x + y + 0) = (17 + x + y) must be divisible by 3.

And, (0 + x + 7) - (y + 6 + 4) = (x - y -3) must be either 0 or 11.

x - y - 3 = 0    y = x - 3

(17 + x + y) = (17 + x + x - 3) = (2x + 14)

x= 2 or x = 8.

x = 8 and y = 5.

Discussion:
37 comments Page 3 of 4.

Padman said:   9 years ago
5 and 2 are not there in the answers given. Hence 8 and 5 selected.

Mayank said:   9 years ago
I can't understand please explain me from first step to last step.

Neelu said:   1 decade ago
Please can any one can explain this problem in easy method.

Keerthi said:   5 years ago
How x=2 and x=8 came? please explain it.
(3)

Durga Prasad said:   1 decade ago
Hi Tanya, Thanks for given explanation.

Shekhar said:   7 years ago
How can come x=2 or 8?

Please explain.

Prateek said:   9 years ago
Thank you so much @Tanya Mazumdar.

Parampreet Singh said:   1 decade ago
What about x=5 and y=2 as answer?

Priyanka said:   10 years ago
Why not there answer as 7, 4?

Kala said:   1 decade ago
Please explain last two step.


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