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# When the positive integer d is divided by 12, the remainder is 5. What

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Math Expert
Joined: 02 Sep 2009
Posts: 55150
When the positive integer d is divided by 12, the remainder is 5. What  [#permalink]

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26 Nov 2018, 23:17
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89% (01:05) correct 11% (01:36) wrong based on 42 sessions

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When the positive integer d is divided by 12, the remainder is 5. What is the remainder when d^2 is divided by 8 ?

A. 1
B. 3
C. 5
D. 6
E. 7

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Re: When the positive integer d is divided by 12, the remainder is 5. What  [#permalink]

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27 Nov 2018, 07:38
Bunuel wrote:
When the positive integer d is divided by 12, the remainder is 5. What is the remainder when d^2 is divided by 8 ?

A. 1
B. 3
C. 5
D. 6
E. 7

D=12.a+5

so values of D= 17,29,41...
17^2/8= remainder 1
29^2/8= remainder 1

IMO A
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Intern
Joined: 21 Feb 2017
Posts: 5
When the positive integer d is divided by 12, the remainder is 5. What  [#permalink]

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27 Nov 2018, 10:58
17 29 41 53
Test some times:
289/8 remainder of 1
841/8 remainder of 1
1681/8 remainder of 1

Intern
Joined: 20 Jun 2017
Posts: 4
Re: When the positive integer d is divided by 12, the remainder is 5. What  [#permalink]

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27 Nov 2018, 19:54
d= q*12 + 5

d^2 = q^2 * 16 * 9 /8 + 2 * q *12 /8 + 5^2 /8 =

so only remainder 5^2/8 = 1
Ans - A
Re: When the positive integer d is divided by 12, the remainder is 5. What   [#permalink] 27 Nov 2018, 19:54
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