When an integer 'n' is divided by 36, remainder is 1. Which of the following could also be an integer?
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When an integer 'n' is divided by 36, remainder is 1. Which of the following could also be an integer?
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Answer:
Any number in the form of n = 36(x) + 1
Step by step solution
Since there are no given options which i can choose i can say this :
Any number which will leave a remainder 1 when divided by 36 will have a special property,
and that special property here will be that you can obtain the required number (which leaves a remainder 1) by multiplying 36 by the quotient and adding the remainder,
Hence 37, 73, 109 all will leave a remainder 1 when divided by 36 as they are nothing but (36×1) + 1, (36×2) + 1, (36×3) + 1
So from this relation we can derive a general formula from which you can get your required number lets say n
∴ n = 36(x) + 1
where x is a whole number