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 2 of 4.
Roxy said:
1 decade ago
Just try hit and trial method to solve it, by putting the values in the missing places.
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?
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 ?
Priyanka said:
10 years ago
Why not there answer as 7, 4?
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.
Dhanashri said:
9 years ago
Please explain this step, (0 + x + 7) - (y + 6 + 4) = (x - y -3) must be either 0 or 11.
Prateek said:
9 years ago
Thank you so much @Tanya Mazumdar.
Mayank said:
9 years ago
I can't understand please explain me from first step to last step.
Poonam said:
9 years ago
How did y = 5 come?
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.
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