10⁻⁵ M NaOH solution at 25^∘C is diluted 1000  times. The pH of the resultant solution will:

For given NaOH solution, P^OH = 5

For every 10 fold dilution P^OH increases by 1 unit

After 1000times dilution, P^OH = 5+3=8, but it is not possible for a base.

$\therefore$Resultant P^OH = lie between 6 and 7 and P^H = lie between 7 and 8.