Density perturbations at the decoupling epoch produce angular fluctuations in the temperature of the cosmic microwave background (CMB) radiation that may appear as hot and cold spots. Observational data of the CMB include instrumental noise in addition to cosmological signal. One would like to determine which of the observed spots are produced by noise and which correspond to signal In this work we first present a statistical analysis of the first plus second year COBE/DMR map at 53 GHz that reveals the presence of a cosmological signal in the data. The analysis is based on Harrison-Zeldovich Monte Carlo realizations and utilizes a generalized chi(2) statistic. The method is applied to the number of spots and the fraction of the total area that appears above or below a certain value of the dispersion of the noise, including and excluding the quadrupole, giving Q(rms-PS) - 15(-6)(+3), 18(-7)(+5) mu K and Q(rms-PS) = 18(-4)(+3), 21 +/- 6 mu K, respectively, at the 95% confidence level. The data taken by the COBE/DMR experiment during the first 2 years at three different frequencies (31, 53, and 90 GHz) are used to determine which of the spots observed at 53 GHz appear simultaneously in the other two channels. The significance of those spots is determined by comparing their area and signal-to-noise ratio with noise Monte Carlo simulations. We point out two cold spots and one hot spot at positions (l, b) approximate to (-99 degrees, 57 degrees), (-21 degrees, -45 degrees), (-81 degrees, -33 degrees) respectively, at the 95% confidence level.