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Math Expert V
Joined: 02 Sep 2009
Posts: 56251
When x is divided by 10, the quotient is y with a remainder of 4. If x  [#permalink]

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Difficulty:   5% (low)

Question Stats: 91% (00:39) correct 9% (01:04) wrong based on 54 sessions

### HideShow timer Statistics When x is divided by 10, the quotient is y with a remainder of 4. If x and y are both positive integers, what is the remainder when x is divided by 5?

(A) 0
(B) 1
(C) 2
(D) 3
(E) 4

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NUS School Moderator D
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When x is divided by 10, the quotient is y with a remainder of 4. If x  [#permalink]

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X = 10Y+4.
When X is divided by 5, then X= 2Y+4. Hence 4 is the remainder.
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Director  V
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Re: When x is divided by 10, the quotient is y with a remainder of 4. If x  [#permalink]

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Bunuel wrote:
When x is divided by 10, the quotient is y with a remainder of 4. If x and y are both positive integers, what is the remainder when x is divided by 5?

(A) 0
(B) 1
(C) 2
(D) 3
(E) 4

x=10y+r ==> 10y+4

If x is divided by 5 then the remainder is 4

Hence E
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Re: When x is divided by 10, the quotient is y with a remainder of 4. If x  [#permalink]

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Bunuel wrote:
When x is divided by 10, the quotient is y with a remainder of 4. If x and y are both positive integers, what is the remainder when x is divided by 5?

(A) 0
(B) 1
(C) 2
(D) 3
(E) 4

can be written as
x=10y+4
the following values are possible
x=14,24,34,44,54...(essentially a unit digit of 4)
all of the above values when divided by 5 gives 4 as its remainder.
E
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Re: When x is divided by 10, the quotient is y with a remainder of 4. If x  [#permalink]

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Bunuel wrote:
When x is divided by 10, the quotient is y with a remainder of 4. If x and y are both positive integers, what is the remainder when x is divided by 5?

(A) 0
(B) 1
(C) 2
(D) 3
(E) 4

x = 10y + 4

Plug in some value of y ( say y = 1)

Thus, x = 10 + 4 => 14

Now, When xy/5 = 14*1/5 = Remainder 4, Answer must be (E) 4
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Re: When x is divided by 10, the quotient is y with a remainder of 4. If x  [#permalink]

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Bunuel wrote:
When x is divided by 10, the quotient is y with a remainder of 4. If x and y are both positive integers, what is the remainder when x is divided by 5?

(A) 0
(B) 1
(C) 2
(D) 3
(E) 4

Approach 1:

$$\frac{x}{10} = y + 4$$

x = 10y + 4

Now we have to divide x by 5 .

10y is divisible by 5 but 4 is not. Thus 4 is remainder.

Approach 2 :

probable value of x.

x could be 14 as per the condition stated in the question.

$$\frac{14}{5} = 5*2 + 4$$

4 is remainder here.

Target Test Prep Representative G
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2823
Re: When x is divided by 10, the quotient is y with a remainder of 4. If x  [#permalink]

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Bunuel wrote:
When x is divided by 10, the quotient is y with a remainder of 4. If x and y are both positive integers, what is the remainder when x is divided by 5?

(A) 0
(B) 1
(C) 2
(D) 3
(E) 4

We can create the equation:

x = 10y + 4

So when x is divided by 5 we have:

(10y + 4)/5 = 2y + 4/5, so the remainder is 4.

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