5. Which of the following numbers is not divisible by 3
i)1017
ii) 1122
iii) 1027
iv) 1110
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Answer:
1 is divisible beacuse
3×374
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Step-by-step explanation:
A number is divisible by 3, if the sum of its all digits is a multiple of 3 or divisibility by 3 .
( i ) 1017
Sum of all the digits of 1017
= 1 + 0 + 1 + 7
= 9 which is divisible by 3
Hence, 1017 is divisible by 3.
( ii ) 1122
Sum of all the digits of 1122
= 1 + 1 +2 +2
= 6 which is divisible by 3
Hence, 1122 is divisible by 3 .
( iii ) 1027
Sum of all the digits of 1027
= 1 + 0 + 2 + 7
= 10 which is not divisible by 3.
Hence, 1027 is not divisible by 3.
( iv ) 1110
Sum of all the digits of 1110
= 1 + 1 + 1 + 0
= 3 which is divisible by 3.
Hence, 1110 is divisible by 3.
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