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.
Prateek said:
9 years ago
Thank you so much @Tanya Mazumdar.
Dhanashri said:
9 years ago
Please explain this step, (0 + x + 7) - (y + 6 + 4) = (x - y -3) must be either 0 or 11.
Animesh said:
10 years ago
@Akash.
You see that in question it's written that the number, 476**0 is divisible by 3 then the sum of numbers like, (4+7+6+x(x mean *) + y(y mean *)+0) is also be divisible by 3. It's a rule.
You see that in question it's written that the number, 476**0 is divisible by 3 then the sum of numbers like, (4+7+6+x(x mean *) + y(y mean *)+0) is also be divisible by 3. It's a rule.
Priyanka said:
10 years ago
Why not there answer as 7, 4?
Sumit jain said:
1 decade ago
The 1st option is also suiting well in the sum. Then the numbers ll be divisible by both 11 and 3 ?
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?
Roxy said:
1 decade ago
Just try hit and trial method to solve it, by putting the values in the missing places.
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?
Appu said:
1 decade ago
Thank you tanya.
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?
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