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What is the last two digits of (11^10) - 9 ?

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Senior Manager
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Joined: 24 Apr 2016
Posts: 333
What is the last two digits of (11^10) - 9 ? [#permalink]

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New post 07 Mar 2017, 19:27
1
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A
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Difficulty:

  25% (medium)

Question Stats:

67% (01:02) correct 33% (00:58) wrong based on 69 sessions

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What is the last two digits of (11^10) - 9 ?

A. 52

B. 72

C. 92

D. 02

E. 62
Director
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P
Joined: 05 Mar 2015
Posts: 971
Re: What is the last two digits of (11^10) - 9 ? [#permalink]

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New post 07 Mar 2017, 22:15
quantumliner wrote:
What is the last two digits of (11^10) - 9 ?

A. 52

B. 72

C. 92

D. 02

E. 62



11^0 = 01 (last 2 digits)
11^1= 11
11^2 =...21
11^3= ...31
...
11^9 = ...91
11^10 = ........01
11^11= ......11

the sequence of last two digits repeats as above
thus last to digit of 11^10 = 01 when subtacted by 9 ,last digit we obtain as 92

Ans C
Senior Manager
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Joined: 05 Jan 2017
Posts: 427
Location: India
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Re: What is the last two digits of (11^10) - 9 ? [#permalink]

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New post 08 Mar 2017, 02:12
11^1 =11
11^2 = 121 last two is 21
11^3 = 1331 last two is 31
.
.
.
11^9 last two digit will be 91
11^10 last two digit will be 01

from abc01 subtract 9, we will get 92 as last two digit

Option C
Re: What is the last two digits of (11^10) - 9 ?   [#permalink] 08 Mar 2017, 02:12
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What is the last two digits of (11^10) - 9 ?

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