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 2 of 4.

Jashim uddin said:   7 years ago
Thanks @Tanya.

Rinkal said:   8 years ago
Thanks @Tanya Mazumdar.

Pritam Bose said:   8 years ago
Thank you @Tanya Mazumdar.

Shahid ali said:   8 years ago
Thank you @Tanya.

Vishnu Priya said:   9 years ago
Please can anyone explain from (0 + x + 7) - (y + 6 + 4) =x - y - 3. Must be either 0 or 11?

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

Rahul said:   9 years ago
By solving through divisibility method we can aslo get value X = 5 and Y = 2. Is it correct?

Harikrishna said:   9 years ago
(0 + x + 7) - (y + 6 + 4) = (x - y -3) .

Please tell me how can we get second line condition please explain in detail, please.

Poonam said:   9 years ago
How did y = 5 come?

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


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