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

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Math Revolution GMAT Instructor
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Is the total of the sales prices of 3 products greater than $23?  [#permalink]

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New post 16 Apr 2018, 00:53
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A
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D
E

Difficulty:

  25% (medium)

Question Stats:

82% (00:56) correct 18% (01:36) wrong based on 33 sessions

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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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Re: Is the total of the sales prices of 3 products greater than $23?  [#permalink]

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New post 16 Apr 2018, 04:45
MathRevolution wrote:
[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.


1) The price of the cheapest of the 3 products is at least $8

If all products are at least $8, then the total will be at least $24

We know for certain that total is greater than $23

Sufficient

2) The price of the second cheapest of the 3 products is at least $12

If we consider the two cheapest products are $12, then total will be $24. For sure any third one will be higher.

We know for certain that total is greater than $23

Sufficient

Answer: D
Math Revolution GMAT Instructor
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Joined: 16 Aug 2015
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Re: Is the total of the sales prices of 3 products greater than $23?  [#permalink]

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New post 18 Apr 2018, 04:52
=>

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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Re: Is the total of the sales prices of 3 products greater than $23? &nbs [#permalink] 18 Apr 2018, 04:52
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