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# If x is a positive integer, x** denotes the remainder when

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Senior Manager
Joined: 30 May 2005
Posts: 373
If x is a positive integer, x** denotes the remainder when [#permalink]

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04 Jul 2005, 17:49
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If x is a positive integer, x** denotes the remainder when 3x is divided by 2. Which of the following must be 1?

A. (2x+3)** + 1

B. (3x)**

C. (2x+2)** + 1

D. 3** + (3x)**

E. (3x)** + 2**
Manager
Joined: 04 Mar 2005
Posts: 106
Location: NYC

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05 Jul 2005, 18:47
AJB77 wrote:
If x is a positive integer, x** denotes the remainder when 3x is divided by 2. Which of the following must be 1?

A. (2x+3)** + 1

B. (3x)**

C. (2x+2)** + 1

D. 3** + (3x)**

E. (3x)** + 2**

Ans 'C'

A - 3(2x+3) / 2 -> Rem 1
B - Rem cld be zero or 1 depending on value of x
C - 3(2x+2) /2 -> Rem = 0
0+1 = 1
Similarly D&E are not valid
Re: PS - x**   [#permalink] 05 Jul 2005, 18:47
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