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    In a complex number system, consider the equation z4−3z2−2=0z^4 - 3z^2 - 2 = 0, where zz is a complex number. If two of the roots of this equation are complex conjugates, what is the sum of all the roots of the equation?
    Quantitative Aptitude
    Quartic Equations
    Complex Conjugates

    Question

    Find the value of the logarithmic expression:
    log⁡27+log⁡8−log⁡1000log⁡1.2\frac{\log{\sqrt{27}} + \log{8} - \log{\sqrt{1000}}}{\log{1.2}}
    where, log102=0.30103log_{10}{2} = 0.30103, log103=0.4771213log_{10}{3} = 0.4771213,
    Quantitative Aptitude
    Algebra
    Logarithms

    Question

    A person is traveling from city A to city B by car. He travels the first 4040% of the distance at a speed of 60km/h60 km/h, the next 3030% at a speed of 90km/h90 km/h, and the remaining distance at a speed of 75km/h75 km/h. The entire trip takes him 5 hours. What is the total distance between city A and city B?
    Speed and Distance
    Hard
    Time
    Distance