Question

The sum of the greatest $3-\mathrm{digit}$ positive integer and the greatest $4-\mathrm{digit}$ negative integer is:

• A. $1$
• B. $-1$
• C. $1999$
• D. $-1999$

Answer 1

The correct option is B

$-1$

Step:Explanation for correct option.

option-(B): $-1$

$\Rightarrow$The greatest $3-\mathrm{digit}$positive integer $=999$

$\Rightarrow$The greatest $4-\mathrm{digit}$ negative integer $=-1000$

$\therefore$ Sum$=999+\left(-1000\right)$

$=-1$ ($\because \left|1000\right|>\left|999\right|$, So we shall subtract $999$ from $1000$ and will use the sign of $1000$)

Therefore, the correct answer is $-1$