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A box contains a total of 400 tickets that come in five colours: blue, green, red, yellow and orange. The ratio of blue to green to red tickets is 1 : 2 : 4. The ratio of green to yellow to orange tickets is 1 : 3 : 6. What is the smallest number of tickets that must be drawn to ensure that at least 50 tickets of one colour have been selected?

\( \textbf{(A)}\ 50\qquad \textbf{(B)}\ 246\qquad \textbf{(C)}\ 148\qquad \textbf{(D)}\ 196\qquad \textbf{(E)}\ 115\qquad\)