If A=15^12 and B=10^16 which of the following is true? : PS Archive
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# If A=15^12 and B=10^16 which of the following is true?

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If A=15^12 and B=10^16 which of the following is true?  [#permalink]

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01 Mar 2007, 07:30
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If A=15^12 and B=10^16 which of the following is true?

(I) A>B
(II) When written in decimal notation, A+B has more digits than does the smaller of {A,B}.
(III) A+B is divisible by 10

(A) I only
(B) II only
(C) I and III
(D) II and III
(E) I and II
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01 Mar 2007, 08:11
I say B

I) B is clearly going to be bigger as it is to the 16th power rather than the 12th power. Sorry this isnt a good explanation its just kind of intuitive.

II) The smaller of the 2 is A and its going to have less digits than B, so when you add them together it is still going to have less digits.

III) 15 times itself any number of times will always end in 5. 10 times itself any number of times will always end in 0. Added together, it will end in 5 and not be divisible by 10.
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01 Mar 2007, 16:39
I say B too.

I think burningskulls explained II and III

To be sure on I and to calculate it fast...(so that we dont have rely on intuition)

I did it this way

15 ^ 12 = (10 ^ 12) * (1.5 ^ 12)
10 ^ 16 = (10 ^ 12) * (10 ^ 4 )

So effectively you cancel out (10 ^12)

1.5 ^ 12 = 2.25 ^ 6 = 4.xx ^ 3 which we know for sure is less than 10 ^ 4
01 Mar 2007, 16:39
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The text passage contains a mathematical question and does not provide an answer to it.
single_question
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
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If A=15^12 and B=10^16 which of the following is true? : PS Archive
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# If A=15^12 and B=10^16 which of the following is true?

Author Message
GMAT Instructor
Joined: 04 Jul 2006
Posts: 1264
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Kudos [?]: 298 [0], given: 0

If A=15^12 and B=10^16 which of the following is true?  [#permalink]

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01 Mar 2007, 07:30
00:00

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions

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This topic is locked. If you want to discuss this question please re-post it in the respective forum.

If A=15^12 and B=10^16 which of the following is true?

(I) A>B
(II) When written in decimal notation, A+B has more digits than does the smaller of {A,B}.
(III) A+B is divisible by 10

(A) I only
(B) II only
(C) I and III
(D) II and III
(E) I and II
Manager
Joined: 04 Oct 2006
Posts: 189
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01 Mar 2007, 08:11
I say B

I) B is clearly going to be bigger as it is to the 16th power rather than the 12th power. Sorry this isnt a good explanation its just kind of intuitive.

II) The smaller of the 2 is A and its going to have less digits than B, so when you add them together it is still going to have less digits.

III) 15 times itself any number of times will always end in 5. 10 times itself any number of times will always end in 0. Added together, it will end in 5 and not be divisible by 10.
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wall street...bulls, bears, people from connecticut

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Joined: 29 Jan 2007
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01 Mar 2007, 16:39
I say B too.

I think burningskulls explained II and III

To be sure on I and to calculate it fast...(so that we dont have rely on intuition)

I did it this way

15 ^ 12 = (10 ^ 12) * (1.5 ^ 12)
10 ^ 16 = (10 ^ 12) * (10 ^ 4 )

So effectively you cancel out (10 ^12)

1.5 ^ 12 = 2.25 ^ 6 = 4.xx ^ 3 which we know for sure is less than 10 ^ 4
01 Mar 2007, 16:39
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The text passage contains a mathematical question and does not provide an answer to it.

TYPE: SINGLE_QUESTION