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20 Sep 2021, 07:45
Kudos
Bookmarks
B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
93% (01:31) correct
7%
(01:33)
wrong
based on 82
sessions
History
Date
Time
Result
Not Attempted Yet
Three daughters and two sons inherit land from their parents. The older son inherits 1/4 of the land and the oldest daughter inherits 1/3. The three remaining children equally share the remaining land. What fraction of the land does the younger son inherit?
(A) 1/12
(B) 5/36
(C) 5/21
(D) 7/36
(E) 7/21
(A) 1/12
(B) 5/36
(C) 5/21
(D) 7/36
(E) 7/21
20 Sep 2021, 08:17
Kudos
Bookmarks
Bunuel
For this question it might be useful to assign a "nice" value to the area of the land being distributed among the children.
Let's say there's 36 acres of land.
The older son inherits 1/4 of the land and the oldest daughter inherits 1/3
1/4 of 36 = 9, so the older son inherits 9 acres of land
1/3 of 36 = 12, so the oldest daughter inherits 12 acres of land
So the area of the land remaining = 36 - 9 - 12 = 15 acres
The three remaining children equally share the remaining land.
So the three remaining children are equally sharing the remaining 15 acres
This means each of those remaining children receives 5 acres
What fraction of the land does the younger son inherit?
The younger son receives 5 acres out of the original 36 acres
Fraction = 5/36
Answer: B
20 Sep 2021, 09:13
Kudos
Bookmarks
Bunuel
Total Land = X
Oldest Son inherits \(\frac{X}{4}\) and oldest daughter \(\frac{X}{3}\), so remaining X-\(\frac{X}{3}\)-\(\frac{X}{4}\)=\(\frac{5X}{12}\)
The other 3 equally shared remaining land, so, (5X/12)/3=\(\frac{5X}{36}\). Simplifying from X we get \(\frac{5}{36}\)
Ans. B
