lif the division N divided 5 leaves a remainder of 1, what might be the ones digit of N ?

Question

Question : A number $n$ when divided by 6, leaves a remainder of 3. What will be the remainder when $\left(n^2+5 n+8\right)$ is divided by 6?
Option 1: 1
Option 2: 3
Option 3: 5
Option 4: 2

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Answer 1

Dear Aspirant

Hope you are doing well

Now let me go through your question

If a number is divisible by 5 then it's unit digit must be 0 or 5. so if we need the remainder of 1 when divided by 5 then the numbers unit digit must be 1 or 6 .

Hope it helps

Thank you

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lif the division N divided 5 leaves a remainder of 1, what might be the ones digit of N ?

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Question : A number $n$ when divided by 6, leaves a remainder of 3. What will be the remainder when $\left(n^2+5 n+8\right)$ is divided by 6?
Option 1: 1
Option 2: 3
Option 3: 5
Option 4: 2

Question : N is the largest two-digit number which, when divided by 3, 4, and 6, leaves the remainder of 1, 2, and 4, respectively. What is the remainder when N is divided by 5?
Option 1: 4
Option 2: 2
Option 3: 3
Option 4: 1

Question : M is the largest 4-digit number which, when divided by 4, 5, 6, and 7, leaves the remainder as 2, 3, 4, and 5, respectively. What will be the remainder when M is divided by 9?
Option 1: 2
Option 2: 1
Option 3: 3
Option 4: 6