A small British retail store has the following 6 monthly goals (Goals 1-6).The median number of transactions for the cashiers...
GMAT Multi Source Reasoning : (MSR) Questions
A small British retail store has the following 6 monthly goals (Goals 1-6).
- The median number of transactions for the cashiers should be greater than 2,000.
- The arithmetic mean number of transactions for the cashiers should be greater than 2,000.
- Each cashier should have a minimum of 1,800 transactions.
- The median value of the transactions for the cashiers should be greater than 10 pounds sterling (£).
- The arithmetic mean value of the transactions for each cashier should be greater than £10.
- The arithmetic mean value of all the transactions should be greater than £10.
For each of the following cashiers, select Yes if the information provided indicates that the cashier had a greater number of transactions than the amount indicated in Goal 3 for each of Months 1, 2, and 3. Otherwise, select No.
OWNING THE DATASET
Understanding Source A: Text - Goals Document
Information from Dataset | Analysis |
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"A small British retail store has the following 6 monthly goals (Goals 1-6)" |
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"1. The median number of transactions for the cashiers should be greater than 2,000" |
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"2. The arithmetic mean number of transactions for the cashiers should be greater than 2,000" |
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"3. Each cashier should have a minimum of 1,800 transactions" |
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"4. The median value of the transactions for the cashiers should be greater than 10 pounds sterling (£)" |
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"5. The arithmetic mean value of the transactions for each cashier should be greater than £10" |
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"6. The arithmetic mean value of all the transactions should be greater than £10" |
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Summary: The store tracks six monthly goals focusing on transaction volume (Goals 1-3) and transaction value (Goals 4-6), with targets for both individual cashiers and overall store performance.
Understanding Source B: Table - Cashier Transaction Data
Information from Dataset | Analysis |
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"For the three months shown in the table, the retail store had exactly 7 cashiers" |
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"The table shows the number of transactions for each cashier in these three months" |
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Month 1 data: Cashier 1 (2,145) to Cashier 7 (1,786) |
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Month 2 data: Range 1,744 to 2,045 |
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Month 3 data: Range 1,790 to 2,189 |
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Total transactions: Month 1: 14,242; Month 2: 13,295; Month 3: 13,585 |
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Summary: The transaction data reveals individual cashier performance over three months, with Month 2 showing the weakest performance and several cashiers failing to meet the 1,800 minimum in various months.
Understanding Source C: Table - Transaction Value Data
Information from Dataset | Analysis |
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"For each of Months 1-3, the table shows the total value of all transactions for that month" |
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"Month 1: £159,937.66" |
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"Month 2: £127,100.20" |
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"Month 3: £165,193.60" |
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Summary: The value data shows Month 3 achieved the highest revenue despite having fewer transactions than Month 1, indicating improved transaction quality, while Month 2 performed poorly in both volume and value.
Overall Summary
The dataset reveals a British retail store tracking detailed performance metrics for 7 cashiers over 3 months. Key insights include:
- Month 2 was the worst performing period across all metrics (lowest transactions and revenue)
- Month 3 achieved the highest revenue with fewer transactions than Month 1, indicating higher average transaction values
- Several cashiers failed to meet the 1,800 minimum transaction requirement, particularly Cashier 7 who failed in two months
- Evaluating all six goals requires combining the transaction count data with value data to calculate per-cashier averages
Question Analysis
The question asks whether each cashier (5, 6, and 7) had more than 1,800 transactions in each of the three months. The key constraints are:
- Must exceed Goal 3 amount (1,800 transactions)
- Must be true for all three months
- Evaluate each cashier separately
This requires a Yes/No evaluation for each cashier based on whether they consistently met the threshold across all periods.
Connecting to Our Analysis
The analysis shows Source A defines Goal 3 as minimum 1,800 transactions, and Source B provides exact transaction counts for all cashiers across all months. The transaction data and Goal 3 threshold are clearly stated, allowing for definitive evaluation of each cashier's performance against the requirement.
Extracting Relevant Findings
Evaluating each cashier's transaction counts against the 1,800 minimum threshold for all three months:
Goal 3 baseline: Minimum 1,800 transactions per month
Requirement: Each cashier must exceed 1,800 transactions in all three months
Cashier 5 Performance:
- Month 1: 2,041 transactions \(\mathrm{(2,041 \gt 1,800)}\) - Exceeded by 241
- Month 2: 1,789 transactions \(\mathrm{(1,789 \lt 1,800)}\) - Failed by 11
- Month 3: 1,790 transactions \(\mathrm{(1,790 \lt 1,800)}\) - Failed by 10
- Result: NO - Failed in months 2 and 3
Cashier 6 Performance:
- Month 1: 1,994 transactions \(\mathrm{(1,994 \gt 1,800)}\) - Exceeded by 194
- Month 2: 2,045 transactions \(\mathrm{(2,045 \gt 1,800)}\) - Exceeded by 245
- Month 3: 1,981 transactions \(\mathrm{(1,981 \gt 1,800)}\) - Exceeded by 181
- Result: YES - Exceeded minimum in all three months
Cashier 7 Performance:
- Month 1: 1,786 transactions \(\mathrm{(1,786 \lt 1,800)}\) - Failed by 14
- Month 2: 1,744 transactions \(\mathrm{(1,744 \lt 1,800)}\) - Failed by 56
- Month 3: 1,970 transactions \(\mathrm{(1,970 \gt 1,800)}\) - Exceeded by 170
- Result: NO - Failed in months 1 and 2
Individual Statement/Option Evaluations
Statement 1 Evaluation: "Yes"
- Criteria: Whether all cashiers (5, 6, and 7) exceeded 1,800 transactions in each of the three months
- Evidence: Only Cashier 6 met the requirement for all three months, while Cashiers 5 and 7 failed in multiple months
- Analysis: Since the question asks about "each cashier," all three must succeed for this to be true
- Conclusion: FALSE - Not all cashiers met the requirement
Statement 2 Evaluation: "No"
- Criteria: Whether it is correct that not all cashiers exceeded 1,800 transactions in each month
- Evidence: Cashier 5 failed in months 2 and 3, Cashier 7 failed in months 1 and 2, only Cashier 6 succeeded in all months
- Analysis: Since 2 out of 3 cashiers failed to meet the consistent monthly requirement, the answer "No" is accurate
- Conclusion: TRUE - "No" correctly reflects that the requirement was not universally met
Systematic Checking
Verification of transaction counts from Source B against Goal 3 from Source A:
- Cashier 5: Exceeded only in Month 1 (2,041 transactions)
- Cashier 6: Exceeded in all months (1,994, 2,045, 1,981 transactions respectively)
- Cashier 7: Exceeded only in Month 3 (1,970 transactions)
- Only Cashier 6 met the requirement for all three months
- Final assessment: Cashier 5 - No, Cashier 6 - Yes, Cashier 7 - No
Final Answer
- Statement 1: No
- Statement 2: Yes
Cashier 5
Cashier 6
Cashier 7