Aptitude - Numbers - Discussion
Discussion Forum : Numbers - General Questions (Q.No. 106)
106.
If x and y are the two digits of the number 653xy such that this number is divisible by 80, then x + y = ?
Answer: Option
Explanation:
80 = 2 x 5 x 8
Since 653xy is divisible by 2 and 5 both, so y = 0.
Now, 653x is divisible by 8, so 13x should be divisible by 8.
This happens when x = 6.
x + y = (6 + 0) = 6.
Discussion:
23 comments Page 2 of 3.
Palwasha said:
4 years ago
@All.
Please explain it. I'm unable to understand it.
Please explain it. I'm unable to understand it.
Shikhar said:
7 years ago
653xy is divisible by 80.
653xy=65300+10x+y.
We consider y=0 because it is divisible by 80.
Now,
653x is divisible by 8.
We divide 653 by 8 and we got remainder 5.
5x is now divisible by 8. We assume x as a number so 5x is divisible by 8.
Here we got 6 as x because 56 is a number which is divisible by the 8.
653xy=65300+10x+y.
We consider y=0 because it is divisible by 80.
Now,
653x is divisible by 8.
We divide 653 by 8 and we got remainder 5.
5x is now divisible by 8. We assume x as a number so 5x is divisible by 8.
Here we got 6 as x because 56 is a number which is divisible by the 8.
Rajesh guru said:
7 years ago
Thnks All.
Vishnu said:
1 decade ago
"Now, 653x is divisible by 8, so 13x should be divisible by 8".
In the above statement why 13x should be divisible by 8. Shouldn't it be like 53x should be divisible by 8.
In the above statement why 13x should be divisible by 8. Shouldn't it be like 53x should be divisible by 8.
Surabhi said:
7 years ago
Pleased explain it. I'm not able to understand this.
Vishnu Swamy said:
8 years ago
Excellent explanation, thank you very much @Sangeeta.
Rahul said:
9 years ago
2 can't be an answer. If we divide 65320 by 80 then the answer is 816.5.
Ramesh said:
9 years ago
Nothing, I understand please anyone explain clearly.
Xyz said:
1 decade ago
65320/80 = 816.5, 65360/80 = 817, so x = 6 & y = 0 => x+y = 6.
Swayze said:
1 decade ago
75 xy is divisible by 5 and 9 how to justify it need your help thanks.
Post your comments here:
Quick links
Quantitative Aptitude
Verbal (English)
Reasoning
Programming
Interview
Placement Papers