BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

DS

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
User avatar
Senior | Next Rank: 100 Posts
Posts: 36
Joined: Thu Jun 02, 2011 10:28 am

DS

by dell2 » Mon Jun 27, 2011 4:01 am
Is x > 10^10 ?

(1) x > 2^34
(2) x = 2^35


OA D
How we solve such Big square root in GMAT ?
Top
Source: — Data Sufficiency |
Legendary Member
Posts: 1448
Joined: Tue May 17, 2011 9:55 am
Location: India
Thanked: 375 times
Followed by:53 members

by Frankenstein » Mon Jun 27, 2011 4:07 am
Hi,
2^34 = 2^30*2^4 = (2^10)^3*2^4
We know that 2^10 = 1024 > 10^3
So, (2^10)^3 > (10^3)^3 = 10^9
24 = 16> 10
So, 2^30*2^4 > 10^9*10 =10^10
As 2^34 > 10^10.
x is greater than 10^10 in each of the two statements
Cheers!

Things are not what they appear to be... nor are they otherwise
Top
Post new topic Post Reply
• Page 1 of 1