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Updated on: 22 Oct 2019, 23:16
Originally posted by EMPOWERgmatRichC on 11 Oct 2019, 18:16.
Last edited by EMPOWERgmatRichC on 22 Oct 2019, 23:16, edited 1 time in total.
Last edited by EMPOWERgmatRichC on 22 Oct 2019, 23:16, edited 1 time in total.
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
73% (01:32) correct
27%
(01:39)
wrong
based on 167
sessions
History
Date
Time
Result
Not Attempted Yet
EMPOWERgmat PS Series:
Pack 3, Question 1
The value of (0.4)^4 – (0.4)^3 is between
A. -1 and -1/2
B. -1/2 and 0
C. 0 and 1/2
D. ½ and 1
E. 1 and 2
2 Week Window To Win An $85 EMPOWERgmat Tuition Credit (1 Month Free!)
Share your explanation! The GMAT Club member with the most verified Kudos in total on the 10 question PS & DS Block 3 question packs will win an $85 EMPOWERgmat tuition credit, which will entitle the winner to a full month of complete access to the EMPOWERgmat system. Even if you're not sure about your answer or your rationale, share your explanation to help boost your learning and earn a chance to win. We have increased the contest window to 2 weeks from the posted date of the question - so that you can maximize your chances and answer all of the questions in each set!
To be eligible, your explanation must be submitted within the 2 week window after this post was created and should explain your reasoning why the answer you chose is correct
The OA will be held until a 1 week window has lapsed.
Links to the entire list of Quant and Verbal questions can be found here: EMPOWERgmat Forum Contest!...
Pack 3, Question 1
The value of (0.4)^4 – (0.4)^3 is between
A. -1 and -1/2
B. -1/2 and 0
C. 0 and 1/2
D. ½ and 1
E. 1 and 2
2 Week Window To Win An $85 EMPOWERgmat Tuition Credit (1 Month Free!)
Share your explanation! The GMAT Club member with the most verified Kudos in total on the 10 question PS & DS Block 3 question packs will win an $85 EMPOWERgmat tuition credit, which will entitle the winner to a full month of complete access to the EMPOWERgmat system. Even if you're not sure about your answer or your rationale, share your explanation to help boost your learning and earn a chance to win. We have increased the contest window to 2 weeks from the posted date of the question - so that you can maximize your chances and answer all of the questions in each set!
To be eligible, your explanation must be submitted within the 2 week window after this post was created and should explain your reasoning why the answer you chose is correct
The OA will be held until a 1 week window has lapsed.
Links to the entire list of Quant and Verbal questions can be found here: EMPOWERgmat Forum Contest!...
11 Oct 2019, 18:41
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EMPOWERgmatRichC
.4^3(.4-1)= .064*(-.6)= -.0384
IMO B
Posted from my mobile device
11 Oct 2019, 19:18
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EMPOWERgmatRichC
The better way would be to convert into fractions..
\((0.4)^4 – (0.4)^3=(\frac{4}{10})^4-(\frac{4}{10})^3=(\frac{2}{5})^4-(\frac{2}{5})^3=(\frac{2}{5})^3((\frac{2}{5})-1)=\frac{8}{125}*\frac{-3}{5}=\frac{-24}{625}\)
So between 0 and -1/2
Also 4/10 <1/2 and it will keep reducing as we increase the power, so (0.4)^4 < (0.4)^3 and answer will be negative..
The value of both (0.4)^4 – and (0.4)^3 will be way lesser than 1/2 and when we subtract them, they will surely remain less than 1/2
So between 0 and -1/2
