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100 families planned wedding on 21st December 2020 at 9 pm, an auspicious day and time in New Delhi and booked a marriage hall online in Chattarpur Farms. Due to a technical glitch the hall was booked simultaneously for 64 families who received a confirmation with a deposit of ₹ 1 Lakh each. The managementon identifying the glitch was troubled and contacted the families for a refund but the families were not ready to accommodate. The managementand the families then mutually agreed to have a toss in order to decide which family will be finally allotted the venue. Certain directions regarding holdingthe toss are as follows:
1. The families were allotted a number from 1 to 64 in alphabetical ascending order of their names.
2. It was further decided, Family 1 will have a toss with Family 64 andis considered as Toss 1. Toss 2 will be between Family 2 and Family 63 and Toss 3 between Family 3 and Family 62 and so on.
3. The winner of each toss moves to the next round and the winner of Toss 1 will now have a toss with winner of Toss 32, winner of Toss 2 with Toss 31 and so on.
4. The remaining rounds of toss are in ascending order i.e. winner of Toss 1 with Toss 2, winner of Toss 3 with Toss 4 and so till there is one winner.
5. It was also decided that if the final winner withdrawsand hands over the venue to the other finalist, the winner will be given ₹ 1.5 Lakh over and above the refund amount.
If family 57 is in the finals, then which family in ascending order can propose to withdraw and take an amount of 1.5 Lakh along with the refund.
1. 35
2. 47
3. 39
4. 58
The below table shows the matching of families in each round as per the given conditions.
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First, we will trace the matches of 57 to find who he will replace in the final round [1 or 9].
Round 1: 8, Round 2: 25, Round 3: 7, Round 4: 5, Round 5: 1, Round 6: 9.
Thus, 57 will take the place of 1 in round 6.
Thus, we will have to check which family among the options take the place of 9.
- 35
Let’s trace the matches of 35 in all the rounds.
Round 1: 30, Round 2: 3, Round 3: 4, Round 4: 3, Round 5: 1, Round 6: 9.
Thus, 35 will also take the place of 1 round 6. Therefore, it cannot be the answer.
Similarly, we can find that 39 and 58 also take the place of 1 in round 6. Thus, they are also ruled out.
2. 47
Round 1: 18, Round 2: 16, Round 3: 15, Round 4: 13, Round 5: 9, Round 6: 1
Thus, 47 will take the place of 9 in the sixth round.
Hence, the answer is option B.
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