GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2508
Given Kudos: 1053
GPA: 3.39
Which integer values of b would give the number 2002 ÷ 10−b a value be
[#permalink]
20 Feb 2021, 08:13
20 Feb 2021, 08:13
1
Expert Reply
00:00
Question Stats:
87% (01:11) correct
12% (02:27) wrong based on 8 sessions
Hide Show timer Statistics
Which integer values of \(b\) would give the number \(2002 ÷ 10^{−b}\) a value between 1 and 100?
A. {−2, −3}
B. {2, −3}
C. {−2, 3}
D. {2, 3}
E. {−2, 2}
A. {−2, −3}
B. {2, −3}
C. {−2, 3}
D. {2, 3}
E. {−2, 2}
Which integer values of b would give the number 2002 ÷ 10−b a value be
[#permalink]
20 Feb 2021, 09:00
20 Feb 2021, 09:00
1
\(2002 ÷ 10^{−b}\)
We need the value between 1 - 100
Let's simplify it.
\(\frac{2002}{10^{-b}}\)
\(2002 * 10^b\)
Put b = -2, \(2002 * 10^{−2}\) = 20.02
Put b = -3, \(2002 * 10^{−3}\) = 2.002
Answer A
We need the value between 1 - 100
Let's simplify it.
\(\frac{2002}{10^{-b}}\)
\(2002 * 10^b\)
Put b = -2, \(2002 * 10^{−2}\) = 20.02
Put b = -3, \(2002 * 10^{−3}\) = 2.002
Answer A
Retired Moderator
Joined: 16 Apr 2020
Status:Founder & Quant Trainer
Affiliations: Prepster Education
Posts: 1546
Given Kudos: 172
Location: India
WE:Education (Education)
Which integer values of b would give the number 2002 ÷ 10−b a value be
[#permalink]
20 Feb 2021, 12:27
20 Feb 2021, 12:27
GeminiHeat wrote:
Which integer values of \(b\) would give the number \(2002 ÷ 10^{−b}\) a value between 1 and 100?
A. {−2, −3}
B. {2, −3}
C. {−2, 3}
D. {2, 3}
E. {−2, 2}
A. {−2, −3}
B. {2, −3}
C. {−2, 3}
D. {2, 3}
E. {−2, 2}
\(1 < \frac{2002}{10^{-b}} < 100\)
\(1 < (2002)(10^b) < 100\)
The only values of \(b\) satisfying this inequality would be: \(-2\) and \(-3\)
For \(b = -2\)
\(1 < 20.20 < 100\)
For \( b = -3;\)
\(1 < 2.002 < 100\)
Hence, option A
