Source: Veritas Prep
Is g+h > 3.6?
1) 1.612 < g < 1.718
2) 1.987 < h < 2.803
Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked
Both statements (1) and (2) TOGETHER are sufficient to answer the question asked; but NEITHER statement ALONE is sufficient
EACH statement ALONE is sufficient to answer the question asked
Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed
Here if we combine both statemens
Taking minimum value of g= 1.613 and h= 1.988
g+h = 3.601 (which is > 3.6)
so C should be the answer. Please explain wt I am missing here.
Is g+h > 3.6?
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Statements combined:eitijan wrote:Source: Veritas Prep
Is g+h > 3.6?
1) 1.612 < g < 1.718
2) 1.987 < h < 2.803
Inequalities can be ADDED TOGETHER.
Adding together 1.612 < g < 1.718 and 1.987 < h < 2.803, we get:
1.612 + 1.987 < g+h < 1.718 + 2.803
3.599 < g+h < 4.521.
If g+h = 3.5991, then the answer to the question stem is NO.
If g+h = 3.61, then the answer to the question stem is YES.
Since the answer is NO in the first case but YES in the second case, INSUFFICIENT.
The correct answer is E.
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Hi eitijan,
This DS question can be solved by TESTing VALUES.
We're asked if G+H > 3.6 This is a YES/NO question.
1) 1.612 < G < 1.718
Fact 1 tells us nothing about the value of H, so it's possible that G+H is greater than 3.6 (a YES answer), but it's also possible that G+H is not greater than 3.6 (a NO answer).
Fact 1 is INSUFFICIENT
2) 1.987 < H < 2.803
Fact 2 tells us nothing about the value of G, so it's possible that G+H is greater than 3.6 (a YES answer), but it's also possible that G+H is not greater than 3.6 (a NO answer).
Fact 2 is INSUFFICIENT
Combined, we know...
1.612 < G < 1.718
1.987 < H < 2.803
IF...
G = 1.6121
H = 1.9871
G+H = 3.5992 and the answer to the question is NO
IF...
G = 1.7
H = 2.8
G+H = 4.5 and the answer to the question is YES
Combined, INSUFFICIENT
Final Answer: E
GMAT assassins aren't born, they're made,
Rich
This DS question can be solved by TESTing VALUES.
We're asked if G+H > 3.6 This is a YES/NO question.
1) 1.612 < G < 1.718
Fact 1 tells us nothing about the value of H, so it's possible that G+H is greater than 3.6 (a YES answer), but it's also possible that G+H is not greater than 3.6 (a NO answer).
Fact 1 is INSUFFICIENT
2) 1.987 < H < 2.803
Fact 2 tells us nothing about the value of G, so it's possible that G+H is greater than 3.6 (a YES answer), but it's also possible that G+H is not greater than 3.6 (a NO answer).
Fact 2 is INSUFFICIENT
Combined, we know...
1.612 < G < 1.718
1.987 < H < 2.803
IF...
G = 1.6121
H = 1.9871
G+H = 3.5992 and the answer to the question is NO
IF...
G = 1.7
H = 2.8
G+H = 4.5 and the answer to the question is YES
Combined, INSUFFICIENT
Final Answer: E
GMAT assassins aren't born, they're made,
Rich
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Don't feel too bad. This is a very common mistake on this problem in the Veritas Prep GMAT Question Bank. More than 2,500 students have attempted this question, and nearly half have incorrectly picked C!eitijan wrote: Here if we combine both statemens
Taking minimum value of g= 1.613 and h= 1.988
g+h = 3.601 (which is > 3.6)
so C should be the answer. Please explain wt I am missing here.
(click on the image to expand)If you still don't feel confident about this question, check out this "Good, Better, Best" mini-lesson on inequalities to learn more about combining inequalities to solve for a range:
https://www.youtube.com/watch?v=qkPUHuwJkOE
