If we follow backward approach, it can be easy to find the answer.
each sister lost one game in the alphabetical order, so in 1st round Suvarna lost, in 2nd round Tara lost, in 3rd round Uma lost & in 4th or last round Vibha lost.
ROUND |
Suvarna |
Tara |
Uma |
Vibha |
4th (Vibha lost) |
32 |
32 |
32 |
32 |
3rd (Uma lost) |
32 / 2
=16
|
32 / 2
=16
|
32 / 2
=16
|
32+16+16+16
=80
|
2nd (Tara lost) |
16 / 2
=8
|
16 / 2
=8
|
16+40+8+8
=72
|
80 / 2
=40
|
1st (Suvarna lost) |
8 / 2
=4
|
8+4+36+20
=68
|
72 / 2
=36
|
40 / 2
=20
|
Initial |
4+34+18+10
=66
|
68 /2
=34
|
36 /2
=18
|
20 /2
=10
|
Therefore, Suvarna started with the highest amount.(A)