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When the positive integer n is divided by 8, the remainder is 3, and w
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10 Jul 2018, 02:38
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[GMAT math practice question] When the positive integer n is divided by 8, the remainder is 3, and when n is divided by 5, the remainder is 2. What is the remainder when the smallest possible value of n is divided by 6? A. 0 B. 1 C. 2 D. 3 E. 4
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Re: When the positive integer n is divided by 8, the remainder is 3, and w
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10 Jul 2018, 02:58
MathRevolution wrote: [GMAT math practice question]
When the positive integer n is divided by 8, the remainder is 3, and when n is divided by 5, the remainder is 2. What is the remainder when the smallest possible value of n is divided by 6? A. 0 B. 1 C. 2 D. 3 E. 4 n = 8x + 3 (3,11,19,27) n = 5x + 2 (2,7,12,17,22,27) Therefore, the smallest value of n is 27. When divided by 6, it will give a remainder of 3(Option D)
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Re: When the positive integer n is divided by 8, the remainder is 3, and w
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10 Jul 2018, 02:59
MathRevolution wrote: [GMAT math practice question]
When the positive integer n is divided by 8, the remainder is 3, and when n is divided by 5, the remainder is 2. What is the remainder when the smallest possible value of n is divided by 6? A. 0 B. 1 C. 2 D. 3 E. 4 n=8p+3 n=5q+2 8p+3=5q+2 p=(5q1)/8 for p to be divisible by 8 , q can be 5,13.. therefore n = 27,67.. remainder when 27(smallest value of n) is divided by 6 is 3



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Re: When the positive integer n is divided by 8, the remainder is 3, and w
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10 Jul 2018, 05:06
MathRevolution wrote: [GMAT math practice question]
When the positive integer n is divided by 8, the remainder is 3, and when n is divided by 5, the remainder is 2. What is the remainder when the smallest possible value of n is divided by 6? A. 0 B. 1 C. 2 D. 3 E. 4 When the positive integer \(n\) is divided by 8, the remainder is 3.In other words, \(n\) is 3 more than a multiple of 8: \(n = 8a + 3\), where \(a\) is a nonnegative integer. Options for \(n\): 3, 11, 19, 27... When n is divided by 5, the remainder is 2. In other words, n is 2 more than a multiple of 5: \(n = 5b + 2\), where \(b\) is a nonnegative integer. Options for \(n\): 2, 7, 12, 17, 22, 27... The smallest value common to the two lists is 27. When 27 is divided by 6, the remainder is 3.
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Re: When the positive integer n is divided by 8, the remainder is 3, and w
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10 Jul 2018, 07:21
MathRevolution wrote: [GMAT math practice question]
When the positive integer n is divided by 8, the remainder is 3, and when n is divided by 5, the remainder is 2. What is the remainder when the smallest possible value of n is divided by 6? A. 0 B. 1 C. 2 D. 3 E. 4 Possible Values when divided by 8 are { 3 , 11 , 19 , 27......................} Possible Values when divided by 5 are { 2 , 7 , 12, 17, 22, 27..........} Thus when 27 is divided by 6 we have the remainder as 3, Answer must be (D)
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Re: When the positive integer n is divided by 8, the remainder is 3, and w
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10 Jul 2018, 20:41
MathRevolution wrote: [GMAT math practice question]
When the positive integer n is divided by 8, the remainder is 3, and when n is divided by 5, the remainder is 2. What is the remainder when the smallest possible value of n is divided by 6? A. 0 B. 1 C. 2 D. 3 E. 4 n=8q+3 n=5p+2 8q+3=5p+2→ 5p8q=1 so we need to find a multiple of 5 that is one greater than a multiple of 8 least possibilities are 25 and 24 thus, p=5; q=3; least possibility of n=27 27/6 leaves a remainder of 3 D



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Re: When the positive integer n is divided by 8, the remainder is 3, and w
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12 Jul 2018, 01:10
=> If \(n\) has remainder \(3\) when it is divided by \(8\), then \(n = 8a + 3\) for some integer \(a\). The possible positive integer values of \(n\) are \(3, 11, 19, 27, 35, … .\) If \(n\) has remainder \(2\) when it is divided by \(5\), then \(n = 5b + 2\) for some integer \(b\). The possible positive integer values of \(n\) are \(2, 7, 12, 17, 22, 27, 32, … .\) The smallest value of \(n\) that appears in both lists is \(27\). Therefore, the smallest possible value for \(n\) is \(27\). \(27 = 6*4 + 3, 27\) has remainder \(3\) when it is divided by \(6\). Therefore, the answer is D. Answer: D
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Re: When the positive integer n is divided by 8, the remainder is 3, and w
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14 Jul 2018, 19:36
MathRevolution wrote: [GMAT math practice question]
When the positive integer n is divided by 8, the remainder is 3, and when n is divided by 5, the remainder is 2. What is the remainder when the smallest possible value of n is divided by 6? A. 0 B. 1 C. 2 D. 3 E. 4 Since when the positive integer n is divided by 8, the remainder is 3, we see that n could be: 3, 11, 19, 27, ... Since when the positive integer n is divided by 5, the remainder is 2, n couold be: 2, 7, 12, 17, 22, 27, ... Thus, the smallest value of n is 27, and 27/6 = 4 remainder 3. Answer: D
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