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State true or false for each of the following statements and justify in each case: (i) $2 \times 3 \times 5 \times 7 + 7$ is a composite number. (ii) $2 \times 3 \times 5 \times 7 + 1$ is a composite number.
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(i) True, $\because 2 \times 3 \times 5 \times 7 + 7 = 7 \times (2 \times 3 \times 5 + 1)$ has more than two factors.
(ii) False, $\because 2 \times 3 \times 5 \times 7 + 1 = 211$ has only two factors.
(ii) False, $\because 2 \times 3 \times 5 \times 7 + 1 = 211$ has only two factors.