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Is the total of the sales prices of 3 products greater than

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Is the total of the sales prices of 3 products greater than

by Max@Math Revolution » Sun Apr 15, 2018 11:48 pm

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[GMAT math practice question]

Is the total of the sales prices of 3 products greater than $23?

1) The price of the cheapest of the 3 products is at least $8
2) The price of the second cheapest of the 3 products is at least $12.
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Source: — Data Sufficiency |
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by Max@Math Revolution » Wed Apr 18, 2018 3:45 am

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Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution.

If a question includes the expression "greater than", we should determine the smallest possible value, since all other possibilities are greater than the minimum. Each of the conditions includes the expression "at least", so this gives us some minimum values.

Condition 1)
Since the cheapest of the three products costs at least $8, the minimum total cost of the three products is
$8 + $8 + $8 = $24 > $23.
Thus, condition 1) is sufficient.

Condition 2)
Since the second cheapest of the three products costs at least $12, the minimum total cost of the three products is
$0 + $12 + $12 = $24 > $23.
Thus, condition 2) is sufficient.

Answer: D
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