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Updated on: 24 Jun 2013, 03:31
Originally posted by aimingformba on 15 Jul 2010, 12:40.
Last edited by Bunuel on 24 Jun 2013, 03:31, edited 2 times in total.
Last edited by Bunuel on 24 Jun 2013, 03:31, edited 2 times in total.
Edited the question and added the OA
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
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67% (02:09) correct
33%
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If 3/4 of the mineral deposits in a reservoir of water are removed every time a water filtration unit completes a cycle, what fraction of the total minerals present in the water will have been removed after 3 complete filtration cycles?
A. 63/64
B. 25/32
C. 13/16
D. 9/32
E. 1/64
A. 63/64
B. 25/32
C. 13/16
D. 9/32
E. 1/64
15 Jul 2010, 15:00
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aimingformba
If 3/4 of the mineral deposits in a reservoir of water are removed every time a water filtration unit completes a cycle, what fraction of the total minerals present in the water will have been removed after 3 complete filtration cycles?
a. A – 63/64
b. B – 25/32
c. C – 13/16
d. D – 9/32
e. E – 1/64
a. A – 63/64
b. B – 25/32
c. C – 13/16
d. D – 9/32
e. E – 1/64
"3/4th of the mineral deposits are removed after 1 cycle" means that 1/4th of mineral deposits are remained after 1 cycle.
After 3 cycles \((\frac{1}{4})^3=\frac{1}{64}\)th of the minerals will remain thus\(1-\frac{1}{64}=\frac{63}{64}\) will be removed.
Answer: A.
13 Dec 2010, 09:01
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krishnasty
Bunuel
aimingformba
If 3/4 of the mineral deposits in a reservoir of water are removed every time a water filtration unit completes a cycle, what fraction of the total minerals present in the water will have been removed after 3 complete filtration cycles?
a. A – 63/64
b. B – 25/32
c. C – 13/16
d. D – 9/32
e. E – 1/64
a. A – 63/64
b. B – 25/32
c. C – 13/16
d. D – 9/32
e. E – 1/64
"3/4th of the mineral deposits are removed after 1 cycle" means that 1/4th of mineral deposits are remained after 1 cycle.
After 3 cycles \((\frac{1}{4})^3=\frac{1}{64}\)th of the minerals will remain thus\(1-\frac{1}{64}=\frac{63}{64}\) will be removed.
Answer: A.
Brunel, the ans doesnt come by going the straight way..i.e. if 3/4 of the minerals are removed in one cycle, then in 3 cycles = (3/4)^3 would be removed..now we know this is not the right ans...so what exactly went wrong here?
When you say that for example after 2 cycles we removed (3/4)^2 of the total that is not true as (3/4)^2<3/4 which means that after 2 cycles we removed less part of the total then after 1 cycle. Whereas when we say that after 1 cycle 1/4 of the total is left and after 2 cycles 1/16 it's true as the remaining part is always 1/4 of the previous.
Hope it's clear.
