Four Sisters Money Game
CAT 1995 Slot 1 · DILR · Hard · Logical Reasoning
Passage / data set
Four sisters — Suvarna, Tara, Uma and Vibha are playing a game such that the loser doubles the money of each of the other players from her share. They played four games and each sister lost one game in alphabetical order (Suvarna lost 1st, Tara 2nd, Uma 3rd, Vibha 4th). At the end of the fourth game, each sister had Rs. 32.
Question 1 of 4
How many rupees did Suvarna start with?
- A.
Rs. 60
- B.
Rs. 34
- C.
Rs. 66
- D.
Rs. 28
C
Explanation
Working backward from the end: After Round 4: Suvarna=32, Tara=32, Uma=32, Vibha=32. Before Round 4 (Vibha lost): Suvarna=16, Tara=16, Uma=16, Vibha=32 + 16*3 = 80. Before Round 3 (Uma lost): Suvarna=8, Tara=8, Vibha=40, Uma=16 + 8+8+40 = 72. Before Round 2 (Tara lost): Suvarna=4, Uma=36, Vibha=20, Tara=8 + 4+36+20 = 68. Before Round 1 (Suvarna lost): Tara=34, Uma=18, Vibha=10, Suvarna=4 + 34+18+10 = 66. Suvarna started with Rs. 66.
Question 2 of 4
Who started with the lowest amount?
- A.
Suvarna
- B.
Tara
- C.
Uma
- D.
Vibha
D
Explanation
Initial amounts: Suvarna = Rs. 66, Tara = Rs. 34, Uma = Rs. 18, Vibha = Rs. 10. Vibha started with the lowest amount.
Question 3 of 4
Who started with the highest amount?
- A.
Suvarna
- B.
Tara
- C.
Uma
- D.
Vibha
A
Explanation
Initial amounts: Suvarna = Rs. 66, Tara = Rs. 34, Uma = Rs. 18, Vibha = Rs. 10. Suvarna started with the highest amount.
Question 4 of 4
What was the amount with Uma at the end of the second round?
- A.
36
- B.
72
- C.
16
- D.
None of these
B
Explanation
At the end of Round 2 (which is before Round 3 starts), Uma had Rs. 72.
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