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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)!
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69% (01:33) correct
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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
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
48 Hour 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 5 question PS Block 3 question pack 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.
To be eligible, your explanation must be submitted within the 48 hour window after this post was created and should explain your reasoning why the answer you chose is correct
The OA and official explanation will be held until the 48 hour window has lapsed.
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
48 Hour 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 5 question PS Block 3 question pack 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.
To be eligible, your explanation must be submitted within the 48 hour window after this post was created and should explain your reasoning why the answer you chose is correct
The OA and official explanation will be held until the 48 hour window has lapsed.
.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 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
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
