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.
Surabhi said:
7 years ago
Pleased explain it. I'm not able to understand this.
Jenet said:
7 years ago
Explained well @Sangeetha. Keep up the good work.
Rajesh guru said:
7 years ago
Thnks All.
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.
Raushan Pandey said:
7 years ago
Answer is 6.
(1)
Adhithi said:
5 years ago
Answer is 2.
(1)
Priyesh Tiwari said:
5 years ago
The Answer will be 6.
Question is saying the number is divisible by 80, which means it will come in the table of 80.
So now, Let the number be 65300.
65300 ÷ 80 = 816.25, this is not a perfect multiple, but here we get that our number is more than the multiple of;
816 * 80 i.e. 65280.
So now, we will go for a next.multiple.
817 * 80 = 65360.
So here is the number we were finding out!
X = 6.
Y = 0.
X+Y = 6+0 = 6.
Question is saying the number is divisible by 80, which means it will come in the table of 80.
So now, Let the number be 65300.
65300 ÷ 80 = 816.25, this is not a perfect multiple, but here we get that our number is more than the multiple of;
816 * 80 i.e. 65280.
So now, we will go for a next.multiple.
817 * 80 = 65360.
So here is the number we were finding out!
X = 6.
Y = 0.
X+Y = 6+0 = 6.
(5)
Subas said:
4 years ago
Its simple guys,
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.
Here why 13x divide 65 by 8 we have 1 remainder so we need to consider 1 also so 13x
This happens when x = 6.
x + y = (6 + 0) = 6.
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.
Here why 13x divide 65 by 8 we have 1 remainder so we need to consider 1 also so 13x
This happens when x = 6.
x + y = (6 + 0) = 6.
(3)
Ashia said:
4 years ago
But how is the answer both 2 and 6?
It should only be 6 cuz if we divide 80 with 65320, we get 816.5.
It should only be 6 cuz if we divide 80 with 65320, we get 816.5.
(1)
Palwasha said:
4 years ago
@All.
Please explain it. I'm unable to understand it.
Please explain it. I'm unable to understand it.
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