Aptitude - Numbers - Discussion

Discussion Forum : Numbers - General Questions (Q.No. 126)
126.
If the number 653 xy is divisible by 90, then (x + y) = ?
2
3
4
6
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.

Reetu said:   7 years ago
The answer to this question should be 6 and not 4.

let me explain how;
3xy should be divisible by 90.
so by hit and trial, we get 360 which is completely divisible by 90.
so the sum of x+y should be 6+0=6 and not 4.

V sumanth said:   4 years ago
I don't understand that equation. Please someone explain.

Tiwariji said:   3 years ago
No. divisible by 9 is also divisible by 90,

Apply the divisibility rule of 9 and consider the simplest value of x and y which should be divided by 9.
eg. divisibility rule of 9 (x=2,y=2).
6+5+3+2+2 = 18
2+2 = 4 Ans.


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