1. Express the following according to the 24 - hour clock : \( \begin{array}{lll}\text { (a) } 10: 15 \mathrm{a} . \mathrm{m} & \text { (b) } 9: 05 \mathrm{a} . \mathrm{m} & \text { (c) } 10: 00 \mathrm{a} . \mathrm{m} \\ \text { (e) } 6: 20 \mathrm{p} . \mathrm{m} & \text { (f) } 9: 45 \mathrm{p} . \mathrm{m} & \text { (g) } 11: 10 \mathrm{p} . \mathrm{m} \\ \text { (i) } 12: 15 \mathrm{p} . \mathrm{m} & \text { (j) } 12: 35 \mathrm{a} . \mathrm{m} & \end{array} \)

Sure! Here are the times expressed in the 24-hour clock format: \[ \begin{array}{lll} \text{(a)}\ 10:15 \ \text{a.m.} & =\ 10\:15 \\ \text{(b)}\ 9:05 \ \text{a.m.} & =\ 09\:05 \\ \text{(c)}\ 10:00 \ \text{a.m.} & =\ 10\:00 \\ \text{(e)}\ 6:20 \ \text{p.m.} & =\ 18\:20 \\ \text{(f)}\ 9:45 \ \text{p.m.} & =\ 21\:45 \\ \text{(g)}\ 11:10 \ \text{p.m.} & =\ 23\:10 \\ \text{(i)}\ 12:15 \ \text{p.m.} & =\ 12\:15 \\ \text{(j)}\ 12:35 \ \text{a.m.} & =\ 00\:35 \\ \end{array} \] **Explanation:** - **a, b, c:** Times in the morning (a.m.) remain the same, except leading zeros are added if necessary. - **e, f, g:** Times in the evening (p.m.) are converted by adding 12 to the hour component. - **i:** 12:15 p.m. remains 12:15 in 24-hour format. - **j:** 12:35 a.m. is midnight plus 35 minutes, which is represented as 00:35.