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:
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.
Durga prasad said:
1 decade ago
In explanation, I can't understand last 2 steps.
Please anybody explain them.
Please anybody explain them.
Kala said:
1 decade ago
Please explain last two step.
Tejender Pal said:
1 decade ago
we have to make (2x + 4) divisible by 3 bcz we are using (17 + x + y) which is divisible by 3.
Hence to make it divisible by 3 the values are 2 & 8.
In the answer, the given value contain the term 8 for x. So we choose 8 instead of 2.
The values of y corresponding to the value x = 8, is y=5
Hence to make it divisible by 3 the values are 2 & 8.
In the answer, the given value contain the term 8 for x. So we choose 8 instead of 2.
The values of y corresponding to the value x = 8, is y=5
Neelu said:
1 decade ago
Please can any one can explain this problem in easy method.
Durga Prasad said:
1 decade ago
Hi Tanya, Thanks for given explanation.
Kumar said:
1 decade ago
Hey can any one xplain these two steps (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. How it comes?
And, (0 + x + 7) - (y + 6 + 4) = (x - y -3) must be either 0 or 11. How it comes?
Appu said:
1 decade ago
Thank you tanya.
Sudhir said:
1 decade ago
Actually rule for divisbility of 11 is sum of odd places - even places but you did even -odd in the problem. 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.
Please tell me how can we get second line condition please explain in detail, please.
Akash said:
1 decade ago
(4 + 7 + 6 + x + y + 0) = (17 + x + y) must be divisible by 3.
How it can be said it must be divisible by 3. Please explain?
How it can be said it must be divisible by 3. Please explain?
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