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

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28 Oct 2016, 22:48

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35% (medium)

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61% (01:03) correct 39% (01:30) wrong based on 154 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?

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

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29 Oct 2016, 15:36

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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