Explanation:

- Let the number of candidates who passed be $5x$ and those who failed be $2x$.

- If the number of failed candidates increased by 14, the ratio of passed to failed becomes 4:3.

- So, $\frac{5x}{2x+14}=\frac{4}{3}$.

- Solving for x:

$15x=8x+56$

$7x=56$

$x=8$

- Number of passed candidates $=5x=40$.

- Number of failed candidates $=2x=16$.

- Total candidates = $40+16=56$.

- None of the given options match 56. Let's double-check.

- After adding 14 failed candidates, failed becomes 30.

- Re-evaluate: Correctly setup ratio and solve.

- Further adjustment confirms total candidates $=5x+3x=56$.

- Confirm calculations with given options.

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