Aptitude - Numbers - Discussion
Discussion Forum : Numbers - General Questions (Q.No. 126)
126.
If the number 653 xy is divisible by 90, then (x + y) = ?
Answer: Option
Explanation:
90 = 10 x 9
Clearly, 653xy is divisible by 10, so y = 0
Now, 653x0 is divisible by 9.
So, (6 + 5 + 3 + x + 0) = (14 + x) is divisible by 9. So, x = 4.
Hence, (x + y) = (4 + 0) = 4.
Discussion:
13 comments Page 2 of 2.
Deepak said:
1 decade ago
Let put x=0 and y=0 in 653 xy this become 65300.
Now divide 65300 by 90 = 725.55.
Now multiple and add 90 in 725(725À-90+90 = 65340). Here last two digits are 40 .
Its means x = 4 & y = 0.
So x+y = 4+0=4 Ans.
Now divide 65300 by 90 = 725.55.
Now multiple and add 90 in 725(725À-90+90 = 65340). Here last two digits are 40 .
Its means x = 4 & y = 0.
So x+y = 4+0=4 Ans.
Shravan said:
1 decade ago
Because a number is said to be divisible by only when it divides the number correctly.
In order to make 14+x divisible by 9. Substitute some numeric values in x and make sure that it is divisible by 9.
14+2=16 not divisible by 9.
14+4=28 is divisible so x=4.
In order to make 14+x divisible by 9. Substitute some numeric values in x and make sure that it is divisible by 9.
14+2=16 not divisible by 9.
14+4=28 is divisible so x=4.
SOURABH SINGH said:
1 decade ago
(14+x) is divisible by 9. But how can we get x=4?
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