A man was watching four web series on a binge. Each web series has some episodes (not equal necessarily). Given bar graph shows percentage distribution of number of episodes of each web series out of total number of episodes of all four-web series and percentage of watched episodes of given series by man. Time length of each episode of these web series is 20 minutes. Read the data carefully and answer the questions.

|![image.png](https://res.cloudinary.com/aptidude/image/upload/v1759830115/aptidude_questions/u2vwqcu3wnoyc1k5o0le.png)

Note: (i) Total number of episodes of all four-web series is N. (ii) Average of total watched content of web series A and D by the man is (N – 192). (iii) Daily watch time for the man is 35 minutes, 25 minutes, 18 minutes and 21 minutes for web series A, B, C & D respectively. (iv) Everyday, the man watches each web series in numerical order. For example, man watches 1st episode of web series A, then he starts 2nd episode of web series A on same day only after watching 1st episodes of each web series of completing his quota of watch time of other web series, whichever is earlier. Same order applies for other web series as well.
(iv) Everyday, the man watches each web series in numerical order. For example, man starts watching 1st episode of web series A, after watching 20 min, episode 1 complete, then he watches only 15 min of 2nd episode. Now he starts to watch web series B and so on. Next day he starts watching web series A and watch 5 min of 2nd episode and so on.

**Question:** What is the difference between the number of days taken by the man to watch $25$ episodes of series B and $20$ episodes of series C?

Choose the correct option.

Question

A man was watching four web series on a binge. Each web series has some episodes (not equal necessarily). Given bar graph shows percentage distribution of number of episodes of each web series out of total number of episodes of all four-web series and percentage of watched episodes of given series by man. Time length of each episode of these web series is 20 minutes. Read the data carefully and answer the questions.

|![image.png](https://res.cloudinary.com/aptidude/image/upload/v1759830115/aptidude_questions/u2vwqcu3wnoyc1k5o0le.png)

Note: (i) Total number of episodes of all four-web series is N. (ii) Average of total watched content of web series A and D by the man is (N – 192). (iii) Daily watch time for the man is 35 minutes, 25 minutes, 18 minutes and 21 minutes for web series A, B, C & D respectively. (iv) Everyday, the man watches each web series in numerical order. For example, man watches 1st episode of web series A, then he starts 2nd episode of web series A on same day only after watching 1st episodes of each web series of completing his quota of watch time of other web series, whichever is earlier. Same order applies for other web series as well.
(iv) Everyday, the man watches each web series in numerical order. For example, man starts watching 1st episode of web series A, after watching 20 min, episode 1 complete, then he watches only 15 min of 2nd episode. Now he starts to watch web series B and so on. Next day he starts watching web series A and watch 5 min of 2nd episode and so on.

**Question:** What is the difference between the number of days taken by the man to watch $25$ episodes of series B and $20$ episodes of series C?

Choose the correct option.

Accepted Answer

**Solution:**

1. **Given Data:**
   - Total episodes = $N$
   - Distribution of episodes:
     - A = 20\% of $N$ = $0.20N$
     - B = 60\% of $N$ = $0.60N$
     - C = 30\% of $N$ = $0.30N$
     - D = 10\% of $N$ = $0.10N$

2. **Watched episodes:**
   - A watched = 10\% of $0.20N$ = $0.10 	imes 0.20N = 0.02N$
   - D watched = 5\% of $0.10N$ = $0.05 	imes 0.10N = 0.005N$

3. **Average watched episodes of A and D:**
   
   $$\frac{0.02N + 0.005N}{2} = N - 192$$

$$\Rightarrow 0.0125N = N - 192$$

$$\Rightarrow N - 0.0125N = 192$$

$$\Rightarrow 0.9875N = 192$$

$$\Rightarrow N = \frac{192}{0.9875} = 194.46 \approx 194$$

4. **Number of episodes in each series:**
   - A = $0.20 	imes 194 = 38.8 \approx 39$
   - B = $0.60 	imes 194 = 116.4 \approx 116$
   - C = $0.30 	imes 194 = 58.2 \approx 58$
   - D = $0.10 	imes 194 = 19.4 \approx 19$

5. **Daily watch time per series:**
   - A = 35 min
   - B = 25 min
   - C = 18 min
   - D = 21 min

6. **Time to watch one episode:** 20 minutes

7. **Calculate days to watch 25 episodes of B:**
   - Total time needed = $25 	imes 20 = 500$ minutes
   - Daily watch time on B = 25 minutes
   - Days needed = $\frac{500}{25} = 20$ days

8. **Calculate days to watch 20 episodes of C:**
   - Total time needed = $20 	imes 20 = 400$ minutes
   - Daily watch time on C = 18 minutes
   - Days needed = $\frac{400}{18} \approx 22.22$ days

9. **Difference in days:**
   $$22.22 - 20 = 2.22 \approx 3 	ext{ days}$$

**Answer:** 3 days

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