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22 Jan 2019, 10:07
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
72% (02:19) correct
28%
(02:33)
wrong
based on 498
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Chris’s plot of land for his garage is \(\frac{1}{4}\) the size of his plot of land for his house. If Chris plans to sell \(\frac{1}{2}\) of the plot of land for his house and \(\frac{3}{4}\) of his plot of land for his garage, what fraction of his land will remain unsold?
A) \(\frac{1}{4}\)
B) \(\frac{1}{3}\)
C) \(\frac{9}{20}\)
D) \(\frac{1}{2}\)
E) \(\frac{11}{20}\)
A) \(\frac{1}{4}\)
B) \(\frac{1}{3}\)
C) \(\frac{9}{20}\)
D) \(\frac{1}{2}\)
E) \(\frac{11}{20}\)
22 Jan 2019, 11:00
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total plot size (house + garage) = 1+1/4 = 5/4
Unsold house plot = 1/2
Unsold garage plot = 1/4of(1/4 of house plot) = 1/16
total unsold = 9/16
fraction of unsold plot = (9/16)*(4/5) = 9/20
Answer C
Unsold house plot = 1/2
Unsold garage plot = 1/4of(1/4 of house plot) = 1/16
total unsold = 9/16
fraction of unsold plot = (9/16)*(4/5) = 9/20
Answer C
22 Jan 2019, 11:20
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CAMANISHPARMAR
Let the plot of land for the house be 16 units
So, Plot of land for Garage is 4 units
Total plot of land for garage and House is 20 units
Chris sells 1/2 of the plot of land of house So he sells 8 units and is left with 8 units of land for house
And, He sells 3/4thplot of land of garafe , so he sells 3 units and is left with 1 unit..
Thus, Part of land left unsold is ( 8 + 1 )/20 = 9/20, Thus Answer must be (C) \(\frac{9}{20}\)
