Question

A positive integer which when added to $1000$, gives a sum which is greater than, when it is multiplied by $1000,$ by $1$. This positive integer is:

• A. $1$
• B. $5$
• C. $7$
• D. $3$

Answer 1

Answer: (A)

$1$

Let the positive integer be $x$.

Then $1000$ is added to that integer i.e., $x+1000$.

Then, by given hypothesis, we have

$1000+x=1000x+1$

$\Rightarrow 999x=999$

$\Rightarrow x=1$

Thus, the positive integer is $1$.