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01 Feb 2021, 11:25
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
85%
(hard)
Question Stats:
49% (02:49) correct
51%
(02:46)
wrong
based on 59
sessions
History
Date
Time
Result
Not Attempted Yet
What is the value of a + b?
(1) The difference between 3.ab4 and 4.b4a after rounding them to tenth place is 1.5
(2) Sum of 3.ab4 and 4.b4a after rounding them to hundredth place is 7.80
(1) The difference between 3.ab4 and 4.b4a after rounding them to tenth place is 1.5
(2) Sum of 3.ab4 and 4.b4a after rounding them to hundredth place is 7.80
solikon
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01 Feb 2021, 14:42
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Statement A
What prompt basically says us, is that b couldn't be any other but 7, and a couldn't be any other number but 1. Why?
We know that if both numbers would be rounded to its tenths, then the delta between numbers has to be 1.5. There is no other option than having b=7 and a=1 because 4 in the hundredths digits implies that we round down.
On the other hand, we know that b has to be more than 5 so our first term would be round up.
If we take these two premises together we now know that only b=7 and a=1 works here.
So statement A is enough to answer the question as a+b = 8
Statement B
The same logic applies to this statement too but in the hundredths places. This time the only viable solution is b=6 and a=1.
Again, we can definitely answer the question, as only one set of numbers works.
But we have two different numbers for b in these statements, which makes me feel this a defective and likely not a GMAT question.
So statement B is enough to answer the question as a+b = 7
If different values of b don't matter then the answer should be D.
What prompt basically says us, is that b couldn't be any other but 7, and a couldn't be any other number but 1. Why?
We know that if both numbers would be rounded to its tenths, then the delta between numbers has to be 1.5. There is no other option than having b=7 and a=1 because 4 in the hundredths digits implies that we round down.
On the other hand, we know that b has to be more than 5 so our first term would be round up.
If we take these two premises together we now know that only b=7 and a=1 works here.
So statement A is enough to answer the question as a+b = 8
Statement B
The same logic applies to this statement too but in the hundredths places. This time the only viable solution is b=6 and a=1.
Again, we can definitely answer the question, as only one set of numbers works.
But we have two different numbers for b in these statements, which makes me feel this a defective and likely not a GMAT question.
So statement B is enough to answer the question as a+b = 7
If different values of b don't matter then the answer should be D.
01 Feb 2021, 19:39
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Statement A
1. There are multiple scenarios that satisfy this statement -
i. A=5,B=0
ii. A=6,B=1
iii. A=7, B=2.. and so on upto A=9 and B=3.
Hence, insufficient
Statement B
1. There is only 1 scenario here, b=6 and a=1.
Hence, this statement is sufficient.
The answer is B
IMO, this question was pretty difficult and took me around 5 minutes.
1. There are multiple scenarios that satisfy this statement -
i. A=5,B=0
ii. A=6,B=1
iii. A=7, B=2.. and so on upto A=9 and B=3.
Hence, insufficient
Statement B
1. There is only 1 scenario here, b=6 and a=1.
Hence, this statement is sufficient.
The answer is B
IMO, this question was pretty difficult and took me around 5 minutes.
