The value of $m$ which changes $m (m + 1) = 30$ into a true statement is

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Detailed Solution

$m (m + 1) = 30$

when $m = 6$

$\begin{array}{l} 6 (6 + 1) = 30 \\ 6 (7) = 30 \\ 42 = 30 \\ L . H . S \neq R . H . S \end{array}$

When $m = 5$

$\begin{array}{l} 5 (5 + 1) = 30 \\ 5 (6) = 30 \\ 30 = 30 \\ L . H . S = R . H . S \end{array}$

When $m = 4$

$\begin{array}{l} m (m + 1) = 30 \\ 4 (4 + 1) = 30 \\ 4 (5) = 30 \\ 20 = 30 \\ L . H . S \neq R . H . S \end{array}$

When $m = 5$

$\begin{array}{l} - 5 (- 5 + 1) = 30 \\ - 5 (- 4) = 30 \\ 20 = 30 \\ L . H . S = R . H . S \\ If m = 5 then m (m + 1) = 30 \end{array}$

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