Solution:

True

According to the given question,

$PQ\text{ }=\text{ }12.5\text{ }cm$

$PA\text{ }=\text{ }5\text{ }cm$

$BR\text{ }=\text{ }6\text{ }cm$

$PB\text{ }=\text{ }4\text{ }cm$

Then,

$QA\text{ }=\text{ }QP\text{ }\text{ }PA\text{ }=\text{ }12.5\text{ }\text{ }5\text{ }=\text{ }7.5\text{ }cm$

As a result,

$PA/AQ\text{ }=\text{ }5/7.5\text{ }=\text{ }50/75\text{ }=\text{ }2/3$… (i)

$PB/BR\text{ }=\text{ }4/6\text{ }=\text{ }2/3$… (ii)

Form eq.(i) and eq.(ii).

$PA/AQ\text{ }=\text{ }PB/BR$

We all know that, if any two sides of a triangle are divided by a line in the same ratio, then the line is parallel to the third side.

As a result,

AB || QR.