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21 Nov 2016, 09:38
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
75%
(hard)
Question Stats:
53% (02:05) correct
47%
(02:05)
wrong
based on 311
sessions
History
Date
Time
Result
Not Attempted Yet
If N is a positive, three-digit integer, what is the hundreds digit of N?
(1) The hundreds digit of N + 120 is 7.
(2) The tens digit of N + 15 is 9.
(1) The hundreds digit of N + 120 is 7.
(2) The tens digit of N + 15 is 9.
19 Jan 2018, 09:11
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Bunuel
Target question: What is the hundreds digit of N?
Statement 1: The hundreds digit of N+120 is 7
Let's examine the range of possible values for N.
N can be as small as 580 (since 580+120=700) and N can be as large as 679 (since 679+120=799)
So, 580 < N < 679
As we can see, the hundreds digit of N can be either 5 or 6
Since we cannot answer the target question with certainty, statement 1 is NOT SUFFICIENT
Statement 2: The tens digit of N+15 is 9
Since there's no information about the hundreds digit, we immediately know that statement 2 is NOT SUFFICIENT.
However, let's see what we can conclude from statement 2.
If the tens digit of N+15 is 9, then N can be as small as ?75 (since ?75+15=?90), and N can be as large as ?84 (since ?84+15=?99)
Aside: The question mark represents the unknown hundreds digit
So, ?75 < N < ?84
Statements 1 and 2 combined
Statement 1 tells us that 580 < N < 679
Statement 2 tells us that ?75 < N < ?84
At this point, we can spot some possible values of N that will yield conflicting answers to the target question.
Case a: N = 582, in which case the hundreds digit is 5
Case b: N = 679, in which case the hundreds digit is 6
Since we cannot answer the target question with certainty, the combined statements are NOT SUFFICIENT
Answer = E
Cheers,
Brent
General Discussion
21 Nov 2016, 11:04
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Bunuel
N = HTU
FROM STATEMENT - I ( INSUFFICIENT )
HTU + 120 = 7XY
If T > 8 ,H = 5
But, If T < 8 ,H = 6
So, HTU + 120 = 7XY
Thus we ca not have a unique value
FROM STATEMENT - II ( INSUFFICIENT )
HTU + 15 = A9B
If U > 5, T = 7
But if U < 5 , T = 8
Thus we ca not have a unique value
FROM STATEMENT I & II ( INSUFFICIENT )
Since we can not have a unique value of N we can not solve the question using statement I and II...
Thus, Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed , answer will be (E)
