What is the greatest integer \(k\) for which \(32.45\cdot\)

Jay@ManhattanReview: GMAT Instructor; Posts: 3008; Joined: Mon Aug 22, 2016 6:19 am; Location: Grand Central / New York; Thanked: 470 times; Followed by:34 members

by Jay@ManhattanReview » Thu Sep 19, 2019 9:11 pm

swerve wrote:What is the greatest integer \(k\) for which \(32.45\cdot 10^{k}\) is less than 1?

A. -2
B. -1
C. 0
D. 1
E. 2

The OA is A

Source: GMAT Prep

For 32.45 x 10^k to be less than 1, we need to move the decimal between 2 and 4 two places to the left. For that to happen, we must at least divide 32.45 by 100. Thus, the greatest integer value of k would be -2.

The correct answer: A

Hope this helps!

-Jay
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Scott@TargetTestPrep: GMAT Instructor; Posts: 8086; Joined: Sat Apr 25, 2015 10:56 am; Location: Los Angeles, CA; Thanked: 43 times; Followed by:29 members

by Scott@TargetTestPrep » Tue Sep 24, 2019 10:21 am

swerve wrote:What is the greatest integer \(k\) for which \(32.45\cdot 10^{k}\) is less than 1?

A. -2
B. -1
C. 0
D. 1
E. 2

The OA is A

Source: GMAT Prep

Since 0.3245 is less than one, the largest possible value of k is -2 since 32.45 x 10^-2 = 0.3245.

Answer: A

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