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PriyankaPalit7
Joined: 28 May 2018
Last visit: 13 Jan 2020
Posts: 117
Given Kudos: 883
Location: India
Schools: ISB '21 (A)
GMAT 1: 640 Q45 V35
GMAT 2: 670 Q45 V37
GMAT 3: 730 Q50 V40
20 Mar 2019, 09:31
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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:
41% (02:06) correct
59%
(01:48)
wrong
based on 68
sessions
History
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Time
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Not Attempted Yet
What is the value of \(n\)?
1) The tens’ digit of \(11^n\) is 4
2) The hundreds’ digit of \(5^n\) is 6
1) The tens’ digit of \(11^n\) is 4
2) The hundreds’ digit of \(5^n\) is 6
20 Mar 2019, 10:10
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From S1:
\(11^n\)'s tens digit is 4.
\(11^1 = 11\)
\(11^2 = 121\)
\(11^3 = 1331\)
\(11^4 = 14641\)
.
.
.
\(11^{14} = .....241\)
Here, n has two different values.
Hence S1 is Insufficient.
From S2:
\(5^n\)'s hundreds digit is 6.
\(5^4 = 625\)
\(5^8 = ...645.\)
Here also n has two different values.
Hence S2 is Insufficient.
Combining also is insufficient.
E is the answer.
\(11^n\)'s tens digit is 4.
\(11^1 = 11\)
\(11^2 = 121\)
\(11^3 = 1331\)
\(11^4 = 14641\)
.
.
.
\(11^{14} = .....241\)
Here, n has two different values.
Hence S1 is Insufficient.
From S2:
\(5^n\)'s hundreds digit is 6.
\(5^4 = 625\)
\(5^8 = ...645.\)
Here also n has two different values.
Hence S2 is Insufficient.
Combining also is insufficient.
E is the answer.
20 Mar 2019, 11:26
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from I, the tenth digit of 11^n can never be 4, so not A, neither D.
From II, for n=4, 6... (and more), the hundredth digit will be 6, so not B
combining, 11^n x 5^n will have a units digit of 5 but no other information is available, so not C.
Answer is E.
From II, for n=4, 6... (and more), the hundredth digit will be 6, so not B
combining, 11^n x 5^n will have a units digit of 5 but no other information is available, so not C.
Answer is E.
