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Updated on: 01 Feb 2019, 04:19
Originally posted by DebbieChats on 01 Feb 2019, 04:15.
Last edited by Bunuel on 01 Feb 2019, 04:19, edited 1 time in total.
Last edited by Bunuel on 01 Feb 2019, 04:19, edited 1 time in total.
Renamed the topic and edited the question.
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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:
35%
(medium)
Question Stats:
64% (01:43) correct
36%
(01:55)
wrong
based on 110
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The decimal representation of the number n is 0.ab where a and b are distinct digits. What is the value of b?
(1) 8.2 < 10n < 8.7
(2) 4 < 5n < 4.2
(1) 8.2 < 10n < 8.7
(2) 4 < 5n < 4.2
Analyze the Question Stem:
This is a Value question. The digit b represents the hundredths digit of n, where a and b are distinct. For sufficiency, a single value for the hundredths place must be determined.
Evaluate the Statements:
Statement (1): The statement as it is presented, 8.2 < 10n < 8.7, can be simplified by dividing each component by 10. The possible range for n becomes 0.82 < n < 0.87. This means that b could be 3, 4, 5, or 6, and the statement is therefore Insufficient. Eliminate choices (A) and (D).
Statement (2): The statement as it is presented, 4 < 5n < 4.2, can be simplified by dividing each component by 5. The possible range for n becomes 0.8 < n < 0.84. Therefore b could be 1, 2, or 3, and the statement is Insufficient. Eliminate choice (B).
Combined: When taken together the statements are Sufficient. The only digit the two statements share in common is 3, which must be the value of b; Answer Choice (C) is correct.
Finding the logic quite convoluted which yields the answer E . thoughts?
This is a Value question. The digit b represents the hundredths digit of n, where a and b are distinct. For sufficiency, a single value for the hundredths place must be determined.
Evaluate the Statements:
Statement (1): The statement as it is presented, 8.2 < 10n < 8.7, can be simplified by dividing each component by 10. The possible range for n becomes 0.82 < n < 0.87. This means that b could be 3, 4, 5, or 6, and the statement is therefore Insufficient. Eliminate choices (A) and (D).
Statement (2): The statement as it is presented, 4 < 5n < 4.2, can be simplified by dividing each component by 5. The possible range for n becomes 0.8 < n < 0.84. Therefore b could be 1, 2, or 3, and the statement is Insufficient. Eliminate choice (B).
Combined: When taken together the statements are Sufficient. The only digit the two statements share in common is 3, which must be the value of b; Answer Choice (C) is correct.
Finding the logic quite convoluted which yields the answer E . thoughts?
KanishkM
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01 Feb 2019, 04:39
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DebbieChats
Initially i had marked E, but if you look at the combination of both
1) 8.2 < 10n < 8.7
0.82 < n < 0.87, here n can be 0.8345 as well
2) 4 < 5n < 4.2
0.8 < n < 0.84, here n can 0.81 or 0.82 no fix value
Combine both the statements
Here n can be 0.83 or 0.823( I think this cannot exist for the question, because if we round this up to the hundredth place, it wont lie in the range of Statement 1)
Making it C.
01 Feb 2019, 05:06
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0.82 < n < 0.87 --- n = 0.83, 0.84, 0.85, 0.86
0.8 < n < 0.84 n = 0.81, 0.82, 0.83
From the above they are drawing the conclusion that last digit is 3 as 0.83 is the only overlap..
Apply that same logic to an inequality question
Statement 1 - a= 3 or -4
Statement 2 a< -2
1+2 the only overlap is -4 so a = -4 So choice should be C
Here the choice turns out to be E
GMAT logic is very illogical I have to say
0.8 < n < 0.84 n = 0.81, 0.82, 0.83
From the above they are drawing the conclusion that last digit is 3 as 0.83 is the only overlap..
Apply that same logic to an inequality question
Statement 1 - a= 3 or -4
Statement 2 a< -2
1+2 the only overlap is -4 so a = -4 So choice should be C
Here the choice turns out to be E
GMAT logic is very illogical I have to say
