Question

if the number 978*83 is divisible by 9 and 3 the number which comes at the palace of * is ?​

Answer 1

Answer:

First, let us run over the divisibility rules of 3 and 9.

Divisibility rule of 3: When you add the digits of the number given, the result produced so will be a multiple of 3.

Divisibility rule of 9: When you add the digits of the number given, the result produced so will be a multiple of 9.

So we need to make sure that, when we replace the * with a number, the sum of all digits including the * should be a multiple of both 3 and 9, or just 9, because every multiple of 9 is a multiple of 3 since 3 is a factor of 9.

The number being: 978*83

Sum of digits: 9+7+8+8+3 (Don't include * now)

= 35

Now 35 is neither a multiple of 3, nor a multiple of 9, so we have to find a number between 35 and 44 (because 9 is the max digit you can place and 35+9 = 44).

We know: 9 × 3 = 27

                 9 × 4 = 36

                 9 × 5 = 45

Now here, between 35 and 44, the only number is 36. So we need * to be 1, since 35+1=36.

So the final number will be 978183.

Hope it Helps,

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