The correct answer is: C. examine : scrutinize
The relationship between “pulsate” and “throb” is that they are both words that describe the rhythmic beating of something. The relationship between “examine” and “scrutinize” is similar, in that they are both words that describe the act of looking at something very closely.
The other options do not have the same relationship. “Walk” and “run” are both words that describe the act of moving one’s legs, but they do not have the same level of intensity. “Tired” and “sleep” are both words that describe the state of being weary, but they do not have the same meaning. “Ballet” and “dancer” are both words that describe something related to dance, but they do not have the same relationship. “Find” and “lose” are both words that describe the act of coming across or not coming across something, but they do not have the same meaning.