"Modi invited six of his ministers (Arun, Manohar, Nirmala, Prakash, Ravishankar, Suresh) to review
their budget demands. He had initially allocated P,Q,R,S,T,U (in thousand crores) rupees as their
budget respectively. Each of them wanted more.
Modi thought the best way to resolve the issue is to make the six ministers play a game. He explained
the rules of the game to them
You will play six rounds of the game
If you score the lowest in a given round, you will double the budget of the other five ministers from
your own budget
After six rounds,
- Modi noticed that each minister had lost exactly one game, that too in the alphabetical order of their
names.
Instead of P,Q,R,S,T,U, now, each had an equal amount which is 64 thousand crores each."
What was the maximum budget allocation Prakash got during the game play?
0 193 thousand crores
0 196 thousand crores
O 200 thousand crores
Answers
Given : Who score the lowest in a given round, you will double the budget of the other five ministers from his own budget
each had an equal amount which is 64 thousand crores each at end
each minister had lost exactly one game, that too in the alphabetical order of their names.
To find : What was the maximum budget allocation Prakash got during the game play
Solution:
initial Budget
Arun, P
Manohar, Q
Nirmala, R
Prakash, S
Ravishankar, T
Suresh U
Total Budget = 64 * 6 = 384 thousand crores
P + Q + R + S + T + U = 384 thousand crores
after 6th round
Arun, 64
Manohar, 64
Nirmala, 64
Prakash, 64
Ravishankar, 64
Suresh 64
Each who did not loose has 64/2 before 6th round & rest budget with who lost
Before 6th round (in 6th round Suresh Lost)
Arun, 32
Manohar, 32
Nirmala, 32
Prakash, 32
Ravishankar, 32
Suresh 64 + 32*5 = 224 or 384 - ( 5 * 32 ) = 224
Before 5th round (in 5th round Ravishankar lost )
Arun, 16
Manohar, 16
Nirmala, 16
Prakash, 16
Ravishankar, 32 + 4 * 16 + 112 = 208 or ( 384 - 4*16 - 112)
Suresh 112
Before 4th round (in 4th round Prakash lost ,)
Arun, 8
Manohar, 8
Nirmala, 8
Prakash, 200 (16 + 3 * 8 + 104 + 56 ) or ( 384 - 3 * 8 - 104 - 56)
Ravishankar, 104
Suresh 56
Similarly further :
Before 3rd round (in 3rd round Nirmala lost ,)
Arun, 4
Manohar, 4
Nirmala, 196
Prakash, 100
Ravishankar, 52
Suresh 28
Before 2nd round (in 2nd round Manohar lost ,)
Arun, 2
Manohar, 194
Nirmala, 98
Prakash, 50
Ravishankar, 26
Suresh 14
Before 1st round (in 1st round Arun lost ,)
Arun, 193
Manohar, 97
Nirmala, 49
Prakash, 25
Ravishankar, 13
Suresh 7
maximum budget allocation Prakash got during the game play = 200 thousand crore after 3rd round
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