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17 Mar 2024, 21:36
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Product A: Sufficient
Product B: Sufficient
Product C: Sufficient
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
95%
(hard)
Question Stats:
47% (02:58) correct
53%
(03:05)
wrong
based on 1344
sessions
History
Date
Time
Result
Not Attempted Yet
For each of 18 recent purchases that included each of Products A–D, the table shows the product subtotals (the unit price for that product multiplied by the number of units bought as part of that purchase). For example, the table shows that, in the purchase corresponding to Receipt 1, €14.0 of the total purchase was due to the purchase of units of Product D. For each product, the number of units bought was always an integer and the unit price was the same for each of the 18 purchases.
For each of the following products, select Sufficient if the information provided is sufficient to determine whether the unit price of the product exceeds €3. Otherwise, select Insufficient.
GMAT-Club-Forum-30vdhzvu.png [ 22.89 KiB | Viewed 4330 times ]
| Product subtotals (in €) | |||||
| Receipt | A | B | C | D | |
|---|---|---|---|---|---|
| 1 | 60 | 50 | 24 | 14 | |
| 2 | 60 | 35 | 21 | 63 | |
| 3 | 57 | 10 | 18 | 59.5 | |
| 4 | 54 | 30 | 3 | 21 | |
| 5 | 54 | 27.5 | 16.5 | 35 | |
| 6 | 48 | 15 | 12 | 70 | |
| 7 | 42 | 45 | 30 | 49 | |
| 8 | 36 | 30 | 24 | 17.5 | |
| 9 | 36 | 20 | 27 | 35 | |
| 10 | 30 | 50 | 12 | 49 | |
| 11 | 24 | 7.5 | 24 | 42 | |
| 12 | 18 | 45 | 12 | 56 | |
| 13 | 18 | 30 | 12 | 49 | |
| 14 | 18 | 25 | 9 | 63 | |
| 15 | 18 | 5 | 18 | 14 | |
| 16 | 12 | 42.5 | 18 | 35 | |
| 17 | 12 | 30 | 6 | 7 | |
| 18 | 6 | 40 | 18 | 70 | |
For each of the following products, select Sufficient if the information provided is sufficient to determine whether the unit price of the product exceeds €3. Otherwise, select Insufficient.
ID: 700238
Attachment:
GMAT-Club-Forum-30vdhzvu.png [ 22.89 KiB | Viewed 4330 times ]
| Sufficient | Insufficient | |
| Product A | ||
| Product B | ||
| Product C |
ShowHide Answer
Official Answer
Product A: Sufficient
Product B: Sufficient
Product C: Sufficient
30 Jul 2024, 23:28
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ashutosh_73
The units of any product bought are a positive integer value.
Product A - In a receipt, someone bought x units and gave €54. In another receipt, someone bought more than x units and gave €57.
This means that the one who gave €3 extra bought 1 or 2 or 3 or 4 or 5 etc. units of A extra.
So cost of each unit of A is at most €3 and can go down to €0.01 per unit theoretically. Hence cost of each unit of A is not more than €3.
Select Sufficient
Product B - In a receipt, someone bought x units and gave €27.5. In another receipt, someone bought more than x units and gave €30.
This means that the one who gave €2.5 extra bought 1 or 2 or 3 or 4 or 5 etc. units of B extra.
So cost of each unit of B is at most €2.5 and can go down to €0.01 per unit theoretically. Hence cost of each unit of B is not more than €3.
Select Sufficient
Product C - In a receipt, someone bought x units and gave €16.5. In another receipt, someone bought more than x units and gave €18.
This means that the one who gave €1.5 extra bought 1 or 2 or 3 or 4 or 5 etc. units of C extra.
So cost of each unit of C is at most €1.5 and can go down to €0.01 per unit theoretically. Hence cost of each unit of C is not more than €3.
Select Sufficient
Attachment:
GMAT-Club-Forum-nm5qqkgj.png [ 22.89 KiB | Viewed 5379 times ]
18 Mar 2024, 04:13
Kudos
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Product A
Check Receipt 3 in which total spend for Product A is 57 which is 19*3 (both prime numbers)
All numbers in Product A column are multiples of 3
i.e. Each product price must be €3
SUFFICIENT
Product B
Check Receipt 5, 11, 15 in which total spend for Product B are 27.5, 7.5, 5 i.e. GCD is 2.5
All numbers in Product B column are multiples of 2.5
i.e. Each product price must be €2.5
SUFFICIENT
Product C
Check Receipt 4 & 5 in which total spend for Product C are 3 and 16.5 i.e. GCD is 1.5
All numbers in Product A column are multiples of 1.5
i.e. Each product price must be €1.5
SUFFICIENT
GMAT-Club-Forum-r1lhcjlq.png [ 22.89 KiB | Viewed 5046 times ]
Check Receipt 3 in which total spend for Product A is 57 which is 19*3 (both prime numbers)
All numbers in Product A column are multiples of 3
i.e. Each product price must be €3
SUFFICIENT
Product B
Check Receipt 5, 11, 15 in which total spend for Product B are 27.5, 7.5, 5 i.e. GCD is 2.5
All numbers in Product B column are multiples of 2.5
i.e. Each product price must be €2.5
SUFFICIENT
Product C
Check Receipt 4 & 5 in which total spend for Product C are 3 and 16.5 i.e. GCD is 1.5
All numbers in Product A column are multiples of 1.5
i.e. Each product price must be €1.5
SUFFICIENT
ashutosh_73
Attachment:
GMAT-Club-Forum-r1lhcjlq.png [ 22.89 KiB | Viewed 5046 times ]
