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Zorluk: OrtaSorting and Multi-Column Ordering

The table below lists operational and financial metrics for 8 tech startups evaluated by a venture capital firm.

StartupSectorAnnual Revenue Growth (%)Customer Retention Rate (%)Burn MultipleEmployee Headcount
AlphaTechAI140851.845
BetaDataFinTech110921.460
GammaCloudSaaS140881.280
DeltaHealthHealthTech165782.135
EpsilonCyberCybersecurity110921.150
ZetaRoboticsAI140851.540
EtaPayFinTech165841.670
ThetaSecureCybersecurity110891.355

Suppose the table is sorted in descending order by Annual Revenue Growth (%). For any startups tied in Annual Revenue Growth (%), the table is secondary sorted in descending order by Customer Retention Rate (%). If a tie still remains, the table is tertiary sorted in ascending order (lowest to highest) by Burn Multiple. Which startup will appear in the 4th position from the top after this multi-column sort?

  1. A
    AlphaTech
  2. B
    GammaCloud
  3. ZetaRoboticsCevap
  4. D
    DeltaHealth
  5. E
    EpsilonCyber

Cevap

ZetaRobotics is in the 4th position from the top.
To determine the 4th startup after the multi-column sort:
1. Primary Sort (Annual Revenue Growth %, Descending):
- 165%: EtaPay, DeltaHealth
- 140%: GammaCloud, AlphaTech, ZetaRobotics
- 110%: BetaData, EpsilonCyber, ThetaSecure

2. Secondary Sort (Customer Retention Rate %, Descending):
- For the 165% group: EtaPay (84%) is 1st, DeltaHealth (78%) is 2nd.
- For the 140% group: GammaCloud (88%) is 3rd. AlphaTech (85%) and ZetaRobotics (85%) remain tied for 4th and 5th.

3. Tertiary Sort (Burn Multiple, Ascending):
- ZetaRobotics has a Burn Multiple of 1.5.
- AlphaTech has a Burn Multiple of 1.8.
- Since 1.5 is lower than 1.8, ZetaRobotics comes first among the tied pair, placing it in the 4th position overall.

Adım Adım Çözüm

1
Primary Sort: Order startups by Annual Revenue Growth (%) in descending order.
The highest growth rate is 165% (EtaPay, DeltaHealth), followed by 140% (AlphaTech, GammaCloud, ZetaRobotics), and 110% (BetaData, EpsilonCyber, ThetaSecure).
Groups must first be organized by the primary sorting column.
2
Evaluate the 165% Revenue Growth group to determine positions 1 and 2.
EtaPay (Retention 84%) and DeltaHealth (Retention 78%). Sorting by Customer Retention Rate descending puts EtaPay 1st and DeltaHealth 2nd.
Secondary sorting dictates that within ties, higher retention rates come first.
3
Evaluate the 140% Revenue Growth group to determine positions 3, 4, and 5.
GammaCloud has Retention 88% (ranks 3rd). AlphaTech and ZetaRobotics both have Retention 85% and remain tied.
GammaCloud has the highest secondary value in this group.
4
Apply the tertiary sort to break the tie between AlphaTech and ZetaRobotics for positions 4 and 5.
Sort by Burn Multiple ascending (lowest to highest): ZetaRobotics has a Burn Multiple of 1.5, while AlphaTech has 1.8. Thus, ZetaRobotics ranks 4th and AlphaTech ranks 5th.
Lower Burn Multiple takes priority in ascending tertiary order.

Anahtar Kavram

Multi-column hierarchical sorting with tie-breaker logic
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