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If n is divided by 5, the remainder is 1. If 2n is divided by 5, what
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25 Apr 2022, 00:00
25 Apr 2022, 00:00
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If n is divided by 5, the remainder is 1. If 2n is divided by 5, what is the remainder?
(A) 0
(B) 1
(C) 2
(D) 3
(E) 4
(A) 0
(B) 1
(C) 2
(D) 3
(E) 4
Part of the project: Skill Builder Project for a Q170
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GRE Math Essentials for a TOP Quant Score - Q170!!! (2021)
GRE Geometry Formulas for a Q170
GRE - Math Book
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials for a TOP Quant Score - Q170!!! (2021)
GRE Geometry Formulas for a Q170
GRE - Math Book
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Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: If n is divided by 5, the remainder is 1. If 2n is divided by 5, what
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25 Apr 2022, 05:41
25 Apr 2022, 05:41
Carcass wrote:
If n is divided by 5, the remainder is 1. If 2n is divided by 5, what is the remainder?
(A) 0
(B) 1
(C) 2
(D) 3
(E) 4
(A) 0
(B) 1
(C) 2
(D) 3
(E) 4
A quick approach is to test a value that satisfies the given information (when n is divided by 5, the remainder is 1)
----------ASIDE--------------
When it comes to remainders, we have a nice property that says:
If N divided by D leaves remainder R, then the possible values of N are R, R+D, R+2D, R+3D,. . . etc.
For example, if k divided by 5 leaves a remainder of 1, then the possible values of k are: 1, 1+5, 1+(2)(5), 1+(3)(5), 1+(4)(5), . . . etc.
--------ONTO THE QUESTION!---------------
Since n divided by 5 leaves a remainder of 1, one possible value of n is 1 [Since 1 divided by 5 equals 0 with remainder 1]
Q: If 2n is divided by 5, what is the remainder?
If n = 1, then 2n = (2)(1) = 2, and 2 divided by 5 equals 0 with remainder 2
Answer: C
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Re: If n is divided by 5, the remainder is 1. If 2n is divided by 5, what
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05 Sep 2022, 10:25
05 Sep 2022, 10:25
If n is divided by 5, the remainder is 1
Theory: Dividend = Divisor*Quotient + Remainder
n -> Dividend
5 -> Divisor
a -> Quotient (Assume)
1 -> Remainders
=> n = 5*a + 1 = 5a + 1
If 2n is divided by 5, what is the remainder
2n = 2*(5a + 1) = 5*2a + 2
=> 2n when divided by 5 gives 2a as quotient and 2 as remainder
So, Answer will be C
Hope it helps!
Watch the following video to learn the Basics of Remainders
Theory: Dividend = Divisor*Quotient + Remainder
n -> Dividend
5 -> Divisor
a -> Quotient (Assume)
1 -> Remainders
=> n = 5*a + 1 = 5a + 1
If 2n is divided by 5, what is the remainder
2n = 2*(5a + 1) = 5*2a + 2
=> 2n when divided by 5 gives 2a as quotient and 2 as remainder
So, Answer will be C
Hope it helps!
Watch the following video to learn the Basics of Remainders
