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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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12 Jul 2021, 05:50
12 Jul 2021, 05:50
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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?
A)23
B)24
C)25
D)26
E)27
If a,b,c,d are all positive integers then which of these may be the value of b+d?
A)23
B)24
C)25
D)26
E)27
Re: When a is divided by b the remainder is 13.When c is divided by d the
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12 Jul 2021, 07:21
12 Jul 2021, 07:21
1
When a is divided by b the remainder is 13.When c is divided by d the remainder is 12.
In this kind of question it is good to start from lower values.
Take \(a = 13\) so \(b = 14\)
similarly
take \(c = 12\) so \(d = 13\)
The value \(b + d = 27\)
Answer E
In this kind of question it is good to start from lower values.
Take \(a = 13\) so \(b = 14\)
similarly
take \(c = 12\) so \(d = 13\)
The value \(b + d = 27\)
Answer E
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Re: When a is divided by b the remainder is 13.When c is divided by d the
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12 Jul 2021, 08:23
12 Jul 2021, 08:23
Carcass 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?
A)23
B)24
C)25
D)26
E)27
If a,b,c,d are all positive integers then which of these may be the value of b+d?
A)23
B)24
C)25
D)26
E)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
Answer: E
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