D answer...

The Gateway to Computer Science Excellence

0 votes

If N=.xyzxyzxyz……… N is a repeating non terminating decimal number then the natural number by which N can be multiplied so that the resultant is a natural number is

a)495 b)1001 c)891 d)4995

a)495 b)1001 c)891 d)4995

+6

N=.xyzxyzxyz [email protected]

Multiply both sides by 1000

1000N=xyz.xyzxyz...... @2

Subtract 2 from 1..

999N = xyz

N= xyz/999

So to get the correct value of N we must multiply the rhs by a multiple of 999... Which is 4995 here...!

Multiply both sides by 1000

1000N=xyz.xyzxyz...... @2

Subtract 2 from 1..

999N = xyz

N= xyz/999

So to get the correct value of N we must multiply the rhs by a multiple of 999... Which is 4995 here...!

0 votes

<p>Here it is a rational number ;to in Convert in P/Q form of the if you want to convert in P/Q form of any rational number then see on how many digits bar is there or how many digits are repeating here 3 digits are repeating so multiply it by 1000 so 1000N=xyz.xyzxyz.. subtract N=0.xyzxyzxyz we will get 999N= xyz there fore N=xyz/999 now only 4995 is divisible by 999 there D is the answer .</p>

52,345 questions

60,494 answers

201,847 comments

95,305 users