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22 Dec 2014, 07:29
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
80% (01:02) correct
20%
(01:12)
wrong
based on 194
sessions
History
Date
Time
Result
Not Attempted Yet
If (500)(7,000) = (350)(100^x), what is the value of x?
(A)5
(B)4
(C)3
(D)2
(E)1
(A)5
(B)4
(C)3
(D)2
(E)1
22 Dec 2014, 10:38
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(500)(7,000) = (350)(100^x)
=> (500)(7,000)/350 = 100^x
=> 10,000 = 100^x
=> 100^2 = 100^x
Since, base is same so powers will be same too.
So, x=2
Answer will be D
Hope it helps!
=> (500)(7,000)/350 = 100^x
=> 10,000 = 100^x
=> 100^2 = 100^x
Since, base is same so powers will be same too.
So, x=2
Answer will be D
Hope it helps!
uday1409
22 Dec 2014, 14:59
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Hi uday1409,
When multiplying numbers that end in 0, there's a great "math shortcut" that you can use:
Here, we're told...
(500)(7000) = 350(100^X) and we're asked for the value of X...
Let's start with the "left side" of the equation:
(5)(7) = 35
There are two 0s in the first parentheses) and three 0s in the second parentheses, so we'll have FIVE 0s in total (following the 35):
3,500,000
On the "right side" of the equation:
We have 350, which is 35 with one 0. We need FOUR MORE 0s for the equation to equal...
(100) has two 0s
(100^2) = (100)(100) has four 0s
So, X MUST = 2....
(350)(100)(100) =
3,500,000
Final Answer
GMAT assassins aren't born, they're made,
Rich
When multiplying numbers that end in 0, there's a great "math shortcut" that you can use:
Here, we're told...
(500)(7000) = 350(100^X) and we're asked for the value of X...
Let's start with the "left side" of the equation:
(5)(7) = 35
There are two 0s in the first parentheses) and three 0s in the second parentheses, so we'll have FIVE 0s in total (following the 35):
3,500,000
On the "right side" of the equation:
We have 350, which is 35 with one 0. We need FOUR MORE 0s for the equation to equal...
(100) has two 0s
(100^2) = (100)(100) has four 0s
So, X MUST = 2....
(350)(100)(100) =
3,500,000
Final Answer
GMAT assassins aren't born, they're made,
Rich
