现已上线！2025 年 Telegram 研究 — 年度关键洞察 
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频道帖子
| 2 | 没有文字... | 35 |
| 3 | 没有文字... | 29 |
| 4 | 没有文字... | 25 |
| 5 | All the first-year students in the computer science (CS) department in a university take both the courses (i) Al and (ii) ML. Students from other departments (non-CS students) can also take one of these two courses, but not both. Students who fail in a course get an F grade;others pass and are awarded A or B or C grades depending on their performance. The following are some additional facts about the number of students who took these two courses this year and the grades they obtained.
1. The numbers of non-CS students who took Al and ML were in the ratio 2: 5.
2. The number of non-CS students who took either Al or ML was equal to the number of CS students.
3. The numbers of non-CS students who failed in the two courses were the same and their total is equal to the number of CS students who got a C grade in ML.
4. In both the courses, 50% of the students who passed got a B grade. But, while the numbers of students who got A and C grades were the same for Al, they were in the ratio 3:2 for ML.
5. No CS student failed in Al, while no non-CS student got an A grade in Al.
6. The numbers of CS students who got A, B and C grades respectively in Al were in the ratio 3:5:2, while in ML the ratio was 4:5:2.
7. The ratio of the total number of non-CS students failing in one of the two courses to the number of CS students failing in one of the two courses was 3: 1.
8. 30 students failed in ML. | 29 |
| 6 | 没有文字... | 44 |
| 7 | 没有文字... | 41 |
| 8 | 没有文字... | 32 |
| 9 | 没有文字... | 45 |
| 10 | 没有文字... | 45 |
| 11 | Six IPL teams - CSK, RCB, MI, RR, KKR, and GT are selected to participate in a domestic league in which each team plays against every other team exactly once. The winner of a match gets 4 points, while the loser gets 0 points. In case of a tie, each team gets 1 point.
The total points earned by five teams are as follows:
CSK - 10
RCB - 12
MI - 10
RR - 8
GT-12 | 44 |
| 12 | https://youtu.be/xewVJbVVuE4?si=divMPvEVdGW4V3oi | 52 |
| 13 | 没有文字... | 57 |
| 14 | https://youtu.be/w8JCCMrXwhQ?si=i9vps2j_NngUXUxV | 70 |
| 15 | 没有文字... | 94 |
| 16 | 没有文字... | 74 |
| 17 | 没有文字... | 61 |
| 18 | Thus the user can decide only the first bulb he/she wants to switch on. Other bulbs are switched on according to the rules given above.
If all the five bulbs can be switched on, the system of bulbs works well. However, if due to any reason, all the five bulbs cannot be switched on, an error occurs, which leads to a short circuit. The bulbs are to be placed on the vertices in such a way that a rational user will be able to switch on all the five bulbs and avoid a short circuit. | 58 |
| 19 |  没有文字... | 65 |
| 20 |  没有文字... | 67 |
