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505-555 (Easy)|   Remainders|      
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Bunuel
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When the integer n is divided by 8, the remainder is 3. What is the re 15 Mar 2019, 00:24
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C
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81% (00:56) correct 19% (01:07) wrong based on 264 sessions

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When the positive integer n is divided by 8, the remainder is 3. What is the remainder if 6n is divided by 8?

(A) 0
(B) 1
(C) 2
(D) 3
(E) 4
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C
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When the integer n is divided by 8, the remainder is 3. What is the re 15 Mar 2019, 03:49
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When n is divided by 8, the remainder is 3.
We can say that n is of the form 8n+3, n ≥ 0

When 6n is divided by 8, the remainder will be 6(8n+3) = 48n+18 = 2.

C is the answer.
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When the integer n is divided by 8, the remainder is 3. What is the re 16 Mar 2019, 02:50
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Bunuel
When the positive integer n is divided by 8, the remainder is 3. What is the remainder if 6n is divided by 8?

(A) 0
(B) 1
(C) 2
(D) 3
(E) 4
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plug in for n =3
6*3= 18
remainder = 2
IMO C
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When the integer n is divided by 8, the remainder is 3. What is the re 16 Mar 2019, 03:01
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Bunuel
When the positive integer n is divided by 8, the remainder is 3. What is the remainder if 6n is divided by 8?

(A) 0
(B) 1
(C) 2
(D) 3
(E) 4
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n = 8k + 3

So n can be 3,11,19,27 and so on.

6n can be 18,66...

Dividing any one of them by 8 we get the remainder as 2.

Hence answer is C)
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When the integer n is divided by 8, the remainder is 3. What is the re 03 Oct 2021, 03:41
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Bunuel
When the positive integer n is divided by 8, the remainder is 3. What is the remainder if 6n is divided by 8?

(A) 0
(B) 1
(C) 2
(D) 3
(E) 4
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Least possible value of n is 3

So, 6n = 18 and remainder is 2 when divided by 8 , thus Answer must be (C) 2
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When the integer n is divided by 8, the remainder is 3. What is the re 04 Sep 2022, 11:08
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When the positive integer n is divided by 8, the remainder is 3

Theory: Dividend = Divisor*Quotient + Remainder

n -> Dividend
8 -> Divisor
k -> Quotient (Assume)
3 -> Remainders
=> n = 8*k + 3 = 8k + 3 ...(1)

What is the remainder if 6n is divided by 8

6n = 6*(8k + 3) (from (1))
=> 6n = 48k + 18

=> Remainder of 6n by 8 = Remainder of (48k + 18) by 8 = Remainder of 18 by 8 (as 48k is a multiple of 8) = 2

So, Answer will be C
Hope it helps!

Watch the following video to learn the Basics of Remainders

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When the integer n is divided by 8, the remainder is 3. What is the re 08 Dec 2024, 11:08
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