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The 6-digit number 473xy5 is divisible by 125. How many such 6-digit numbers are there?
Question

The 6-digit number 473xy5 is divisible by 125. How many such 6-digit numbers are there?

A.

3

B.

4

C.

1

D.

2

Correct option is B

Given:

Given number is 473xy5

Formula Used:

For a number to be divisible by 125 the last three digits should be divisible by 125

Solution:

For the number 473xy5 to be divisible by 125:

We will take odd multiples of 125 because the unit digit will be zero with even multiples and in the given number unit digit is 5

When x=1 and y = 2

The sum of last three digit = x+y+ 5

The number =125 which is divisible by 125

When x=3 and y= 7

The number is 375

When x = 6 and y=2

The number is 625

Then x= 8 and y=7

The number is 875

So we can say there are 4 possible number we can make

The answer is 4

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