Question

7. When a number is divided by 121, the
remainder is 25. If the same number is divided
by 11, the remainder will be
(a) 3
(b) 4 (c) 6
(d) 25​

Answer 1

Answer:

a) 3

Step-by-step explanation:

x = 121y + 25

x/11 = (121y + 25)/11 = (11+2)y + 3

Answer 2

Answer:

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Step-by-step explanation:

Let us say that the number is 'N'

We are given that when the number 'N' is divided by 121, the remainder is 25

=> Remainder [N/121] = 25

=> N = 121*k + 25 {Where 'k' is a whole number}

Now, we are dividing N by 11 and trying to find out the remainder

=> We are trying to find out Remainder [N/11]

= Remainder [(121k + 25) / 11]

= Remainder [121k / 11] + Remainder [25 / 11]

= 0 + 3 = 3

So, the required remainder that we are looking for is 3