When \( 10 \, \mathrm{mL} \) of an aqueous solution of \( \mathrm{Fe^{2+}} \) ions was titrated in the presence of dil \( \mathrm{H_2SO_4} \) using diphenylamine indicator, \( 15 \, \mathrm{mL} \) of \( 0.02 \, \mathrm{M} \) solution of \( \mathrm{K_2Cr_2O_7} \) was required to get the end point. The molarity of the solution containing \( \mathrm{Fe^{2+}} \) ions is \( x \times 10^{-2} \, \mathrm{M} \). The value of \( x \) is ________. (Nearest integer)
