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x is divided by 7

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by sanju09 » Sat Jun 19, 2010 2:02 am
If (x + 2)/7 is an integer greater than 2, then the remainder, when x is divided by 7 is
(A) 2
(B) 3
(C) 4
(D) 5
(E) 6
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by selango » Sat Jun 19, 2010 2:16 am
x=7q-2 (q>1)

What ever q value is,x/7 have remainder as 5.

option d
Last edited by selango on Sat Jun 19, 2010 2:26 am, edited 1 time in total.
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by kvcpk » Sat Jun 19, 2010 2:23 am
sanju09 wrote:If (x + 2)/7 is an integer greater than 2, then the remainder, when x is divided by 7 is
(A) 2
(B) 3
(C) 4
(D) 5
(E) 6
take x = 19.

so (x + 2)/7 = 3
rem when 3 div by 7 is 3

so B
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by amising6 » Sat Jun 19, 2010 2:24 am
sanju09 wrote:If (x + 2)/7 is an integer greater than 2, then the remainder, when x is divided by 7 is
(A) 2
(B) 3
(C) 4
(D) 5
(E) 6
it to be gretaer than 2 then minimum value of x will have to be 19 19+2/7=3 >2
thus 19/7 remainder 5
next example would be x=40 then 40+2/42 =6 an integer and gretaer than 2 but again x/7 remainder 5
so answer is D
Ideation without execution is delusion
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