Question:
In a coaching class, some students register online, and some others register offline. No student registers both online and offline; hence the total registration number is the sum of online and offline registrations. The following facts and table pertain to these registration numbers for the five months - January to May of 2023. The table shows the minimum, maximum, median registration numbers of these five months, separately for online, offline and total number of registrations. The following additional facts are known.
1. In every month, both online and offline registration numbers were multiples of 10 .
2. In January, the number of offline registrations was twice that of online registrations.
3. In April, the number of online registrations was twice that of offline registrations.
4. The number of online registrations in March was the same as the number of offline registrations in February.
5. The number of online registrations was the largest in May. Minimum Maximum Median online 40 100 80 Offline 30 80 50 Total 110 130 120
What was the total number of registrations in April? (This Question was asked as TITA)
In a coaching class, some students register online, and some others register offline. No student registers both online and offline; hence the total registration number is the sum of online and offline registrations. The following facts and table pertain to these registration numbers for the five months - January to May of 2023. The table shows the minimum, maximum, median registration numbers of these five months, separately for online, offline and total number of registrations. The following additional facts are known.
1. In every month, both online and offline registration numbers were multiples of 10 .
2. In January, the number of offline registrations was twice that of online registrations.
3. In April, the number of online registrations was twice that of offline registrations.
4. The number of online registrations in March was the same as the number of offline registrations in February.
5. The number of online registrations was the largest in May.
What was the total number of registrations in April? (This Question was asked as TITA)
1. In every month, both online and offline registration numbers were multiples of 10 .
2. In January, the number of offline registrations was twice that of online registrations.
3. In April, the number of online registrations was twice that of offline registrations.
4. The number of online registrations in March was the same as the number of offline registrations in February.
5. The number of online registrations was the largest in May.
| Minimum | Maximum | Median | |
|---|---|---|---|
| online | 40 | 100 | 80 |
| Offline | 30 | 80 | 50 |
| Total | 110 | 130 | 120 |
Updated On: Jul 21, 2025
- 90 Registration
- 110 Registration
- 120 Registration
- 100 Registration
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The Correct Option is C
Solution and Explanation
To solve this problem, we analyze the data month by month based on given constraints:
- Let January's online registrations be \( 2x \), so offline = \( 4x \). Total = \( 6x \).
- In March, online registrations equal February's offline, say \( y \).
- In April, online = \( 2z \), offline = \( z \), so total = \( 3z \).
- In May, online = 100 (maximum).
From the table, we are given:
- Online min = 40, max = 100, median = 80
- Offline min = 30, max = 80, median = 50
- Total min = 110, max = 130, median = 120
To satisfy April's condition (online = 2 × offline), assume:
- Total in April = 120
- \( 3z = 120 \Rightarrow z = 40 \)
- Therefore, offline = 40, online = 80
This matches all the given statistics and constraints.
Answer: April registrations = 120
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