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When integer n is divided by 15, the remainder is 5. Which of the foll
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25 Jun 2015, 02:44
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RudeyboyZ wrote:
When integer n is divided by 15, the remainder is 5. Which of the following has a remainder of 10 when divided by 15 ?
I. 3n II. 5n III. 4n + 10
A. I Only B. II Only C. III Only D. I & II Only E. I, II & III
Take any value of n which leaves remainder 5 when divided by 15
i.e. Let, n=20 (i.e.15+5)
I. 3n = 3*20 = 60 When divided by 15 remainder is NOT 10 II. 5n = 5*20 = 100 When divided by 15 remainder is 10 III. 4n + 10 = 4*20 + 10 = 90 When divided by 15 remainder is NOT 10
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Re: When integer n is divided by 15, the remainder is 5. Which of the foll
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29 Jan 2018, 07:59
Top Contributor
RudeyboyZ wrote:
When integer n is divided by 15, the remainder is 5. Which of the following has a remainder of 10 when divided by 15 ?
I. 3n II. 5n III. 4n + 10
A. I Only B. II Only C. III Only D. I & II Only E. I, II & III
Many integer properties questions can be solved by testing values
When it comes to remainders, we have a nice rule that says: If N divided by D leaves remainder R, then the possible values of N are R, R+D, R+2D, R+3D,. . . etc. For example, if k divided by 5 leaves a remainder of 1, then the possible values of k are: 1, 1+5, 1+(2)(5), 1+(3)(5), 1+(4)(5), . . . etc.
When integer n is divided by 15, the remainder is 5. So, some possible values of n are: 5, 20, 35, 50, 65, ....
Which of the following has a remainder of 10 when divided by 15 ? Let's test a possible value of n.
Try n = 5 I. 3n = 3(5) = 15. When we divide 15 by 15, we get remainder 0. So, statement I does NOT satisfy the requirement. ELIMINATE answer choices A, D and E
II. 5n = 5(5) = 25. When we divide 25 by 15, we get remainder 10. So, statement II DOES satisfy the requirement. This means we can't eliminate anything.
III. 4n + 10 = 4(5) + 10 = 30. When we divide 30 by 15, we get remainder 0. So, statement III does NOT satisfy the requirement. ELIMINATE answer choice C
Re: When integer n is divided by 15, the remainder is 5. Which of the foll
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10 Feb 2019, 19:11
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