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# Is x > 10^10 ? (1) x > 2^34 (2) x = 2^35

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Manager
Joined: 07 May 2007
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Is x > 10^10 ? (1) x > 2^34 (2) x = 2^35  [#permalink]  01 Jul 2007, 09:21
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Is x > 10^10 ?

(1) x > 2^34

(2) x = 2^35

Edited the post

Last edited by iamba on 01 Jul 2007, 11:18, edited 1 time in total.
Manager
Joined: 03 Mar 2007
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I agree with B.

statement 2 tells you that it's less than 1,010.
VP
Joined: 08 Jun 2005
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statement 1

5^3 = 125

2^7 = 128

so:

2^34 > 10^10 =

2^10*2^24 > 2^10*5^10 =

2^24 > 5^10 =

2^7*2^7*2^7*2^3 > 5^3*5^3*5^3*5 =

128*128*128*8 > 125*125*125*5 = true

meaning: if X is greater then 2^34 it has to be greater then 10^10.

sufficient

statement 2

5^3 = 125

2^7 = 128

same logic as in statement 1

128*128*128*16 > 125*125*125*5 = true

meaning: if X is equal to 2^35 it has to be greater then 10^10.

sufficient

Senior Manager
Joined: 28 Feb 2007
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before the Question was edited the answer was B. Now D.
Plz be careful while writing the problem,otherwise it makes others feel uncomfortable. Thanks
Manager
Joined: 07 May 2007
Posts: 181
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Apologise if anyone felt unconfortable. Copy+paste did not show the ^ sign.

OA is D

Point to note is that we need not spend time expanding the second statement. Since its equality, its sufficient to say whether 2^35 is greater than 10^10
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