Question

A positive number n when divided by 35 gives remainder 3 what will be the remainder when this number is divided by 7

Answer 1

Solution :

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Given :

A positive number n when divided by 35 gives remainder 3,.

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To Find :
         The remainder when  n is divided by 7

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By applying euclid's division algorithm,

We get,

⇒ a = bq + r (where a = n, b = 35, r = 3)

⇒ n = 35q + 3
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Now,

same algorithm with (a = 35,b= 7)

We get,

⇒ 35 = 7 x 5 + 0

⇒ Hence, 35 is divisible by 7

So, We apply the algorithm with remainder,

a = bq + r

⇒ 7 = 3 x 2 + 1

⇒ Hence, 7 > 3

So, the remainder doesn't change

∴ The number n , when divided by 7, the remainder is 3,.

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                                         Hope it Helps !!