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

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What is the last two digits of (11^10) - 9 ?  [#permalink]

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New post 07 Mar 2017, 19:27
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Question Stats:

74% (01:17) correct 26% (01:08) wrong based on 110 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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Re: What is the last two digits of (11^10) - 9 ?  [#permalink]

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New post 07 Mar 2017, 22:15
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1
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
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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
1
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
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What is the last two digits of (11^10) - 9 ?  [#permalink]

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New post 25 Jul 2018, 10:50
rohit8865 wrote:
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


rohit8865 hey there :-) how is it possible that \(11^0\) has last 2 digits 01 :? whats the logic behind it ? looking at \(11^0\) i simply see 11 last as two digits :D...

even if any number raised to exponent zero is 1 ,,,, but how about 0 01 ..it says \(11^0\) has last 2 digits 01

should nt we start from here 11^1= 11 ? instead of \(11^0\)

perhaps you pushpitkc could explain :-)
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Re: What is the last two digits of (11^10) - 9 ?  [#permalink]

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New post 25 Jul 2018, 22:19
1
dave13 wrote:
rohit8865 wrote:
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


rohit8865 hey there :-) how is it possible that \(11^0\) has last 2 digits 01 :? whats the logic behind it ? looking at \(11^0\) i simply see 11 last as two digits :D...

even if any number raised to exponent zero is 1 ,,,, but how about 0 01 ..it says \(11^0\) has last 2 digits 01

should nt we start from here 11^1= 11 ? instead of \(11^0\)

perhaps you pushpitkc could explain :-)


Hey dave13

Any number, when raised to the power of 0 is 1, which can also be written as 00000001
Zero has no value when used before any number ;) (That's the explanation that the last two digits of \(11^0\) is 01)

This is also the reason for considering the pattern from 11^0!

Hope this clears your confusion!
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Re: What is the last two digits of (11^10) - 9 ? &nbs [#permalink] 25 Jul 2018, 22:19
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