10. Write the smallest digit in the blank space of each of the following numbers so that the
number formed is divisible by 3 (a) 3,2 386 (b) 5, 945
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a) 3_2386
Sol. Divisibility rule of 3- the sum the digits should be divisible by 3.
3+2+3+8+6= 22, so 3x8= 24.
3+2+ 2 +3+8+6= 24
Therefore the number is 322386.
b) 5_945
Sol. Using the same as above.
5+9+4+5= 23, so 3x8= 24
5+1+ 9+4+5 = 24
Therefore the number is 51945.
Extra info- sometimes, it happens that the number are divisible i.e 12_45, we get 1+2+4+5= 12 which is already divisible by 3, so in the blank we can fill a zero.
Hope it was useful. Take care.
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