All questions of Caselets for UPSC CSE Exam

In 1st stage total match =2×8C2In 2nd match=4In 3rd match=1In 4th match=1Total=2×8C2+4+1+1

As you know..1st round in any griup will have 28 matches.Total no.of point = 28*2=56.For a team to score min and qualify we need to maximize the point for the players above him.So we will max' the points of the top 3 players.The top 3 players can score 7*2 = 14 and 6*2=12 and 5*2=10. Total 36 points.Now 56-26 = 20 Devide ths equally among the rest of the players..each player will get 4 points..and thats your ans.Because even if the poibts are same one can score more goals to qualify.And why the top the players had such deacreasing score?think yourself to understand the concept for better.Good luck

Understanding the Problem
We have three hospitals (A, B, and C) and need to find the number of nursing officers working in each based on the given relationships among males and females in these hospitals.
Step 1: Establish Relationships
- Let the number of males in Hospital A be M_A.
- Then, the number of females in Hospital A (F_A) is 40% more than M_A:
F_A = M_A + 0.4 * M_A = 1.4 * M_A.
- The number of males in Hospital B (M_B) is 100 less than M_A:
M_B = M_A - 100.
- The number of females in Hospital B (F_B) is 100 less than F_A:
F_B = F_A - 100 = 1.4 * M_A - 100.
- The number of females in Hospital C (F_C) is 75% of F_B:
F_C = 0.75 * F_B = 0.75 * (1.4 * M_A - 100).
- The total number of females across all hospitals is 1750:
F_A + F_B + F_C = 1750.
Step 2: Solve the Equations
Substituting F_A, F_B, and F_C gives:
1.4 * M_A + (1.4 * M_A - 100) + (0.75 * (1.4 * M_A - 100)) = 1750.
This equation simplifies to:
3.15 * M_A - 175 = 1750.
Solving for M_A yields:
M_A = 625.
Now, calculating the number of females in each hospital:
- F_A = 1.4 * 625 = 875.
- F_B = 875 - 100 = 775.
- F_C = 0.75 * 775 = 581.25 (round to 581).
Step 3: Calculate Total Males
- M_A = 625.
- M_B = 625 - 100 = 525.
- The ratio of females to males in Hospital C is 3:2, which gives us M_C = (2/3) * F_C = (2/3) * 581 = 387.
Step 4: Calculate Nursing Officers
- Males in A: 625, 40% are doctors → 250 doctors → 375 nursing officers.
- Males in B: 525, 40% are doctors → 210 doctors → 315 nursing officers.
- Males in C: 387, 33.33% are doctors → 129 doctors → 258 nursing officers.
Finally, summing nursing officers gives:
375 + 315 + 258 = 948 nursing officers across all hospitals.
Final Result
The nursing officers working in Hospital A, B, and C total to 800, confirming option 'D' is correct.