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If the number 2484\times 36y is divisible by 36, find the minimum value of x -y, where x  and y are distinct.

  • Option 1)

    5

  • Option 2)

    1

  • Option 3)

    2

  • Option 4)

    -7

  • Option 5)

    0

Answers (1)
R rishi raj

2484\times \frac{36y}{36}

Number which is divisible by 36 should be divisible by 9 and 4

To be divisible by 4, the value of y must be 0,4 or 8

I\! f y=0, x= 0\: or \: 9 \Rightarrow x-y= 0 \: or\: 9

I\! \! f y=4 , x=5 \Rightarrow x-y=1

I\! \! f y=8 , x=1 \Rightarrow x-y=-7

\Rightarrow -7

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