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Solution:

St(1):-The line l1 is perpendicular to l3

Do we have any information on l2? Not really.
l2 can be intersecting at 90 degrees with l1(So the answer to Q-stem is No)
OR
l2 can be intersecting at 90 degrees with l3(So, the answer to the Q-stem is Yes)- Insufficient

St(2):- The line l2 intersects l3, forming a right angle

Do we have any information on l1? Not really again

So, on the same lines as stated ,l1 can be intersecting at 90 degrees with l2(So the answer to Q-stem is No) OR

l1 can be intersecting at 90 degrees with l3(So the answer to Q-stem is Yes) (Insufficient)

Combining both,

l1 is perpendicular to l3 and l2 is perpendicular to l3

=>l1 parallel to l2 (Sufficient) (option c)

Devmitra Sen
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Are the two distinct lines, \(l_1\) and \(l_2\), parallel?

Stat1: The line \(l_1\) is perpendicular to \(l_3\).
No idea of \(l_2\). Not sufficient

Stat2: The line \(l_2\) intersects \(l_3\), forming a right angle.
No idea of \(l_1\). Not sufficient

Combining both, \(l_1\) and \(l_2\) are parallel to each other. Sufficient

So, I think C. :)
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