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14 Feb 2026, 05:32
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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:
70% (02:48) correct
30%
(02:30)
wrong
based on 81
sessions
History
Date
Time
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Not Attempted Yet
Harry, a farmer, decided to divide all his possessions among his three sons - Adam, Bill and Carl. He made sure that none of his sons received anything more or less than any other in value at the time he made the division.
It is known that:
An acre of land was valued at twice the price of an ounce of gold.
Ten bushels of wheat were worth half the price of an adult sheep
At market prices prevailing at the time of the division, how many adult sheep was one acre of land worth?
(1) Adam's share was worth as much as 60 bushels of wheat
(2) Bill received 10 acres of land, 1 adult sheep, and 1 ounce of gold as his share.
It is known that:
An acre of land was valued at twice the price of an ounce of gold.
Ten bushels of wheat were worth half the price of an adult sheep
At market prices prevailing at the time of the division, how many adult sheep was one acre of land worth?
(1) Adam's share was worth as much as 60 bushels of wheat
(2) Bill received 10 acres of land, 1 adult sheep, and 1 ounce of gold as his share.
14 Feb 2026, 06:04
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This is a classic Data Sufficiency problem that tests your ability to set up equations from word problems. The key concept here is equal distribution — since each son received the same total value, we can use that as our anchor.
Step 1: Define the relationships
From the given info:
• 1 acre land = 2 ounces of gold (in value)
• 10 bushels wheat = 0.5 adult sheep (in value), so 20 bushels wheat = 1 adult sheep
Step 2: Evaluate Statement (1)
Adam got 60 bushels of wheat. Using our conversion: 60 bushels = 3 adult sheep worth of value.
Since all three sons got equal value, each son's share = 3 sheep equivalent. But we need to find how many sheep equals one acre of land, and we only know Adam's share. We don't know what Bill or Carl received.
Statement (1) alone: INSUFFICIENT
Step 3: Evaluate Statement (2)
Bill received 10 acres + 1 sheep + 1 ounce gold.
Converting everything to the same unit (let's use ounces of gold):
• 10 acres = 20 ounces gold
• 1 ounce gold = 1 ounce gold
• 1 sheep = ? (this is what we're trying to find!)
Bill's total = 21 ounces gold + 1 sheep
Statement (2) alone: INSUFFICIENT (we still don't know the relationship)
Step 4: Combine both statements
Now we know Adam's value = Bill's value (equal distribution)
• Adam: 60 bushels = 3 sheep equivalent
• Bill: 21 gold ounces + 1 sheep
Setting them equal and solving gives us the sheep-to-gold conversion, which then tells us how many sheep = 1 acre.
Answer: C (both together sufficient)
Common trap: Students often forget that Data Sufficiency isn't asking you to solve completely — just determine IF you CAN solve. Many people waste time doing full calculations when they should be testing sufficiency.
Takeaway: In equal distribution DS problems, always look to create equations by setting the equal portions against each other. The individual statements often give you partial info, but combining them creates the system of equations you need.
Step 1: Define the relationships
From the given info:
• 1 acre land = 2 ounces of gold (in value)
• 10 bushels wheat = 0.5 adult sheep (in value), so 20 bushels wheat = 1 adult sheep
Step 2: Evaluate Statement (1)
Adam got 60 bushels of wheat. Using our conversion: 60 bushels = 3 adult sheep worth of value.
Since all three sons got equal value, each son's share = 3 sheep equivalent. But we need to find how many sheep equals one acre of land, and we only know Adam's share. We don't know what Bill or Carl received.
Statement (1) alone: INSUFFICIENT
Step 3: Evaluate Statement (2)
Bill received 10 acres + 1 sheep + 1 ounce gold.
Converting everything to the same unit (let's use ounces of gold):
• 10 acres = 20 ounces gold
• 1 ounce gold = 1 ounce gold
• 1 sheep = ? (this is what we're trying to find!)
Bill's total = 21 ounces gold + 1 sheep
Statement (2) alone: INSUFFICIENT (we still don't know the relationship)
Step 4: Combine both statements
Now we know Adam's value = Bill's value (equal distribution)
• Adam: 60 bushels = 3 sheep equivalent
• Bill: 21 gold ounces + 1 sheep
Setting them equal and solving gives us the sheep-to-gold conversion, which then tells us how many sheep = 1 acre.
Answer: C (both together sufficient)
Common trap: Students often forget that Data Sufficiency isn't asking you to solve completely — just determine IF you CAN solve. Many people waste time doing full calculations when they should be testing sufficiency.
Takeaway: In equal distribution DS problems, always look to create equations by setting the equal portions against each other. The individual statements often give you partial info, but combining them creates the system of equations you need.
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