Aseismic station recorded the p-waves, but no s-waves, from an earthquake because s-waves were
(1) absorbed by earth’s outer core
(2) transmitted only through liquids
(3) weak and detected only at nearby locations
(4) not produced by this earthquake

A seismic station recorded the P-waves, but no S-waves, from an earthquake because S-waves were (1) absorbed by Earth's outer core.
The core of our planet can absorb such waves as S-waves, which is why they were not recorded. The other answers are not true, which makes the first one correct.

The answer to the first one is barometer.