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Current Student D
Joined: 12 Aug 2015
Posts: 2567
Schools: Boston U '20 (M)
GRE 1: Q169 V154 When a is divided by b the remainder is 13.When c is divided by d the  [#permalink]

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13 00:00

Difficulty:   45% (medium)

Question Stats: 63% (01:25) correct 37% (01:54) wrong based on 171 sessions

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When a is divided by b the remainder is 13.When c is divided by d the remainder is 12.
If a,b,c,d are all positive integers then which of these may be the value of b+d?

1)23
2)24
3)25
4)26
5)27

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Re: When a is divided by b the remainder is 13.When c is divided by d the  [#permalink]

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stonecold wrote:
When a is divided by b the remainder is 13.When c is divided by d the remainder is 12.
If a,b,c,d are all positive integers then which of these may be the value of b+d?

1)23
2)24
3)25
4)26
5)27

Important rule: When positive integer N is divided by positive integer D, the remainder R is such that 0 < R < D
For example, if we divide some positive integer by 7, the remainder can be 6, 5, 4, 3, 2, 1, or 0
Likewise, if we divide some positive integer by 4, the remainder can be 3, 2, 1, or 0

In the original question, we're told that, when a is divided by b the remainder is 13
So, b must be greater than 13.
In other words, b COULD equal 14, 15, 16, 17, ....

We're also told that, c is divided by d the remainder is 12
So, d must be greater than 12.
In other words, d COULD equal 13, 14, 15, 16, ....

So, the smallest possible value of b+d is 14+13
In other words, b+d COULD equal 27

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Re: When a is divided by b the remainder is 13.When c is divided by d the  [#permalink]

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b has to be greater than or equal to 14.

d has to be greater than or equal to 13.

b+d>=27

E

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Re: When a is divided by b the remainder is 13.When c is divided by d the  [#permalink]

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b has to be greater than or equal to 14.

d has to be greater than or equal to 13.

b+d>=27

E
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Posts: 13277
Re: When a is divided by b the remainder is 13.When c is divided by d the  [#permalink]

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_________________ Re: When a is divided by b the remainder is 13.When c is divided by d the   [#permalink] 07 Jun 2019, 23:58
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