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QUANT 4-PACK SERIES Problem Solving Pack 2 Question 2 A day-trader plans to invest...A day-trader plans to invest a total of $23,500 into 15 separate investments. If each investment requires a minimum deposit of $1,400, then which of the following is the maximum amount that she could put into any one investment?
A) $2,800
B) $3,000
C) $3,500
D) $3,800
E) $3,900
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This question is part of the Quant 4-Pack seriesScroll Down For Official Explanation Hi All,
From the prompt, we know that a certain amount of money ($23,500) has to be spread across 15 different accounts (and the minimum amount of money for each account is $1400). We're then asked for the MAXIMUM amount of money that could be deposited into any one account.
Typically, when a question asks for the minimum or maximum possibility, we need to consider how to maximize or minimize OTHER factors in the question.
Here, we know that 15 accounts each require $1400 at the minimum, so let's start there:
(15)($1,400) = $21,000
That $21,000 will cover the minimum amount of each account. The remaining money can then be added to ONE of the accounts...
$23,500 - $21,000 = $2500 of 'extra money'
$1400 + $2500 = $3900 = maximum amount
Final Answer:
GMAT assassins aren't born, they're made,
Rich