Reasoning

    Analogy
    Genuine : Authentic (analogy)
    The words in each pair are synonyms of each other.
    Analogy
    Fatigue : Resting (analogy)
    Second helps to overcome the first.
    Odd Man Out
    Find the odd man out from: 57, 87, 131, 133 & 143
    131 is the only prime number in the group.
    Odd Man Out
    Find the odd man out from: House, Apartment, Society & Building
    All except Society represent a single dwelling unit.
    Analogy
    Kick : Football (analogy)
    First is a way of playing with / using the second.
    Analogy
    Hierarchy : Ranked (analogy)
    Hierarchy is a ranked order of individuals. Similarly, chronology is a sequential order of events.
    Analogy
    Pathology, Cardiology, Radiology, Ophthalmology (analogy)
    As all terms given in the question are medical terms and Hematology is also medical term.
    Analogy
    Stapler : Stationery (analogy)
    Second denotes the class to which the first belongs.
    Analogy
    Rectangle : Pentagon (analogy)
    Second one had one more side than the first.
    Odd Man Out
    Find the odd man out from: Seminar, Semicolon, Semifinal, Semicircle & Semitone
    In all except Seminar, ‘semi’ indicates ‘half’.