Congruences for sixth order mock theta functions $ \lambda(q) $ and $ \rho(q) $

Ramanujan introduced sixth order mock theta functions \begin{document}$ \lambda(q) $\end{document} and \begin{document}$ \rho(q) $\end{document} defined as:\begin{document}$ \begin{align*} \lambda(q) & = \sum\limits_{n = 0}^{\infty}\frac{(-1)^n q^n (q;q^2)_n}{(-q;q)_n},\\ \rho(q) & = \sum\limits_{n = 0}^{\infty}\frac{ q^{n(n+1)/2} (-q;q)_n}{(q;q^2)_{n+1}}, \end{align*} $\end{document}listed in the Lost Notebook. In this paper, we present some Ramanujan-like congruences and also find their infinite families modulo 12 for the coefficients of mock theta functions mentioned above.