Explanation:

- 55% of candidates in the exam were boys, leaving 45% as girls.

- 60% of the boys passed the examination.

- 75% of the girls passed the examination.

- 315 girls failed, meaning 25% of the girls equals 315 since 75% passed.

- Calculate the total number of girls:

$$

\text{Total girls} = \frac{315}{0.25} = 1260

$$

- Total candidates in the examination. Calculate the total using the proportion of girls:

$$

\text{Girls are 45% of total} \rightarrow 0.45 \times \text{Total} = 1260

$$

$$

\text{Total Candidates} = \frac{1260}{0.45} = 2800

$$

- Boys count is 55% of total:

$$

\text{Total boys} = 0.55 \times 2800 = 1540

$$

- 60% of Boys passed:

$$

\text{Boys passed} = 0.6 \times 1540 = 924

$$

Hence, the correct option for total boys is ? Option 2: 632.

.