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27 Nov 2018, 08:02
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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:
15%
(low)
Question Stats:
77% (00:55) correct
23%
(00:59)
wrong
based on 1203
sessions
History
Date
Time
Result
Not Attempted Yet
Exactly how many bonds does Bob have?
(1) Of Bob’s bonds, exactly 21 are worth at least $5,000 each
(2) Of Bob’s bonds, exactly 65 percent are worth less than $5,000 each
(1) Of Bob’s bonds, exactly 21 are worth at least $5,000 each
(2) Of Bob’s bonds, exactly 65 percent are worth less than $5,000 each
27 Nov 2018, 09:19
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gmatbusters
Target question: Exactly how many bonds does Bob have?
Statement 1: Of Bob’s bonds, exactly 21 are worth AT LEAST $5,000 each
We have no idea how many of Bob's bonds are worth LESS THAN $5000 each
Statement 1 is NOT SUFFICIENT
Statement 2: Of Bob’s bonds, exactly 65 percent are worth LESS THAN $5,000 each
There are infinitely many scenarios that satisfy statement 2. Here are two:
Case a: Bob as a total of 100 bonds, 65 of which are worth less than $5,000 each, and 35 of which are worth at least $5,000 each. In this case, the answer to the target question is Bob has 100 bonds
Case b: Bob as a total of 200 bonds, 130 of which are worth less than $5,000 each, and 70 of which are worth at least $5,000 each. In this case, the answer to the target question is Bob has 200 bonds
Since we cannot answer the target question with certainty, statement 2 is NOT SUFFICIENT
Statements 1 and 2 combined
Statement 2 tells us that 65% of the bonds are worth less than $5,000 each, which also means 35% of the bonds are worth at least $5,000 each
Statement 1 tells us that 21 bonds are worth at least $5,000 each
Let T = the total number of bonds that Bob owns
So, we can write: 35% of T = 21
In other words, 0.35T = 21
Since we COULD solve this equation for T, we COULD answer the target question with certainty
As such, the combined statements are SUFFICIENT
Answer: C
Cheers,
Brent
General Discussion
09 Sep 2021, 07:18
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Correct option : C
Statements (1 + 2)
Statement 1 : 21 bonds are worth at least $5,000/-
Statement 2 : 65% of the bonds are worth < $5,000/-
T = The total number of bonds that Bob owns : (100%- 65% of T) = 21 = (0.35T = 21)
The combined statements are SUFFICIENT
Statements (1 + 2)
Statement 1 : 21 bonds are worth at least $5,000/-
Statement 2 : 65% of the bonds are worth < $5,000/-
T = The total number of bonds that Bob owns : (100%- 65% of T) = 21 = (0.35T = 21)
The combined statements are SUFFICIENT
