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rashedBhai
29 Jan 2019, 03:59
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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:
45%
(medium)
Question Stats:
66% (02:02) correct
34%
(02:06)
wrong
based on 286
sessions
History
Date
Time
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Not Attempted Yet
What is the tens digit of the three-digit positive integer n?
(1) The tens digit of (n+5) is 5.
(2) The tens digit of n is less than the tens digit of 10n
Posted from my mobile device
(1) The tens digit of (n+5) is 5.
(2) The tens digit of n is less than the tens digit of 10n
Posted from my mobile device
Updated on: 29 Jan 2019, 04:44
Originally posted by GMATinsight on 29 Jan 2019, 04:12.
Last edited by GMATinsight on 29 Jan 2019, 04:44, edited 1 time in total.
Last edited by GMATinsight on 29 Jan 2019, 04:44, edited 1 time in total.
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rashedBhai
Question: What is the tens digit of the three-digit positive integer n?
Statement 1: The tens digit of (n+5) is 5.
by adding 5 in any number the ten's digit may change (if unit digit is greater than 4) or may remain same (if unit digit of number is less than 5) hence, the ten's digit of n may be 5 or 4 based on unit digit
since we have multiple values hence
NOT SUFFICIENT
Statement 2: The tens digit of n is less than the tens digit of 10n
i.e. ten's digit of n is less than the unit digit of n (because by multiplying 10 in the number, the unit digit of number shifts to the tens place of result)
NOT SUFFICIENT
Combining the two statements
ten's digit of n (which may be either 4 or 5) is less than unit's digit of n
i.e. unit digit of n is may vary from 5 to 9
in every case, adding 5 in n will change the ten's digit of number which becomes 5 after addition of 5 in n hence
ten's digit of n = 5-1 = 4
SUFFICIENT
Answer: Option C
General Discussion
Archit3110
Major Poster
Updated on: 29 Jan 2019, 04:32
Originally posted by Archit3110 on 29 Jan 2019, 04:29.
Last edited by Archit3110 on 29 Jan 2019, 04:32, edited 1 time in total.
Last edited by Archit3110 on 29 Jan 2019, 04:32, edited 1 time in total.
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rashedBhai
from the given info
we know n= 100a+10b+c
3 digit no
#1
tens digit n+5 is 5
so n can be 145,146,147,148,149 ; addition of 5 would given tens digit as 5
also when 150,151,152,153,154 ; addition of 5 would given tens digit as 5
in sufficient
#2
tens digit of n < 10n , tens digit
not sufficient
from 1& 2
we can say that value of n would be from 145-149 and tens digit would be 4 ...
IMO C sufficient
