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When a is divided by b the remainder is 13.When c is divided by d the

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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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New post 28 Oct 2016, 22:50
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A
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D
E

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  25% (medium)

Question Stats:

78% (00:59) correct 22% (01:52) wrong based on 67 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)100
2)121
3)144
4)169
5)196

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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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New post 28 Oct 2016, 22:57
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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)9
2)25
3)49
4)169
5)625


b has to be greater than or equal to 14

d has to be greater than or equal to 13

b*d>=14*13

Only answer choice that satisfies above inequality is 625

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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New post 10 Jun 2018, 12:26
B has to be greater than or equal to 14
D has to be greater than or equal to 13

Answer E 196 = 14*14
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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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New post 11 Jun 2018, 06:02
Its E and here is the logic. we know that if we get remainder 13, b must be at least 14 or greater. Likewise, d must be larger than 12, e.g. 13 or more. So, b*d>13*14 or bd>182, the only answer choice greater than 182 is 196 (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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New post 13 Jun 2018, 16:27
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)100
2)121
3)144
4)169
5)196


Recall that the remainder from any division of positive integers must be less than the divisor.

Since, when a is divided by b, the remainder is 13, then b must be at least 14.

Since, when c is divided by d, the remainder is 12, then d must be at least 13.

Thus, b*d is least 14*13 = 182. We see that only 196 could be the value of b*d.

Answer: E/5
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Re: When a is divided by b the remainder is 13.When c is divided by d the   [#permalink] 13 Jun 2018, 16:27
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When a is divided by b the remainder is 13.When c is divided by d the

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