Match List I with List II and select the correct answer using the codes given below the lists: | List I (Time) | List II (Angle between hour hand and minute hand of a clock) | |---|---| | A. 1.10 p.m. | 1. $20^\circ$ | | B. 2.15 p.m. | 2. $22\frac{1}{2}^\circ$ | | C. 8.40 p.m. | 3. $24^\circ$ | | | 4. $25^\circ$ | | | 5. $30^\circ$ |

### Concept & Angle Verification This question requires calculating the interior angle for three separate times to find the matching pair. We apply the standard formula $\theta = |30H - 5.5M|$ to each time listed in List I. ### Step-by-Step Solution 1. **Analyze A (1:10 p.m.):** $H = 1, M = 10$ Angle = $|30(1) - 5.5(10)| = |30 - 55| = |-25| = 25^\circ$. Matches with List II item **4**. So, A $\rightarrow$ 4. 2. **Analyze B (2:15 p.m.):** $H = 2, M = 15$ Angle = $|30(2) - 5.5(15)| = |60 - 82.5| = |-22.5| = 22.5^\circ = 22\frac{1}{2}^\circ$. Matches with List II item **2**. So, B $\rightarrow$ 2. 3. **Analyze C (8:40 p.m.):** $H = 8, M = 40$ Angle = $|30(8) - 5.5(40)| = |240 - 220| = 20^\circ$. Matches with List II item **1**. So, C $\rightarrow$ 1. 4. The correct sequence is A-4, B-2, C-1. ### Exam Strategy & Shortcut Calculate only the easiest one first. 8:40 gives exactly $20^\circ$. This means C matches with 1. Looking at the possible option codes (a) 4 2 1, (b) 4 3 2, (c) 5 2 1, (d) 4 3 2. The only options where C is 1 are (a) and (c). Next, solve A (1:10 = 25°). A matches 4. Only option (a) satisfies both A=4 and C=1. You can skip calculating B completely! ### Common Pitfall Misreading the fractional angles or calculating mental math too quickly on 2:15, leading to an incorrect $30^\circ - 7.5^\circ$ logic error. Always write down the intermediate steps. ### Final Answer Therefore, the correct answer is **4 2 1**.