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 4 of 4.
Durga Prasad said:
1 decade ago
Hi Tanya, Thanks for given explanation.
Tanya Mazumdar said:
1 decade ago
Let the given number be 476 xy 0.
add the digits
(4 + 7 + 6 + x + y + 0) = (17 + x + y) must be divisible by 3.
To check no. is divisible by 3, the easiest way is to check from the options:
from A. put 17+7+4=17+11=28 not divisible by 3
from B. put 17+7+5=17+12=29 not divisible by 3
from C. put 17+8+5=17+13=30 is divisible by 3
therefore,x=8 and y=5.
To check no. is divisible by 11:
(0 + x + 7) - (y + 6 + 4) = (x - y -3) must be either 0 or 11.
from A. put 7-4-3=7-7=0 is divisible by 11
from B. put 7-5-3=7-8=-1 not divisible by 11
from C. put 8-5-3=8-8=0 is divisible by 11
therefore,x=8 and y=5.
Option C is correct.
add the digits
(4 + 7 + 6 + x + y + 0) = (17 + x + y) must be divisible by 3.
To check no. is divisible by 3, the easiest way is to check from the options:
from A. put 17+7+4=17+11=28 not divisible by 3
from B. put 17+7+5=17+12=29 not divisible by 3
from C. put 17+8+5=17+13=30 is divisible by 3
therefore,x=8 and y=5.
To check no. is divisible by 11:
(0 + x + 7) - (y + 6 + 4) = (x - y -3) must be either 0 or 11.
from A. put 7-4-3=7-7=0 is divisible by 11
from B. put 7-5-3=7-8=-1 not divisible by 11
from C. put 8-5-3=8-8=0 is divisible by 11
therefore,x=8 and y=5.
Option C is correct.
(1)
Neelu said:
1 decade ago
Please can any one can explain this problem in easy method.
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
Kala said:
1 decade ago
Please explain last two step.
Durga prasad said:
1 decade ago
In explanation, I can't understand last 2 steps.
Please anybody explain them.
Please anybody explain them.
Parampreet Singh said:
1 decade ago
What about x=5 and y=2 as answer?
Post your comments here:
Quick links
Quantitative Aptitude
Verbal (English)
Reasoning
Programming
Interview
Placement Papers