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Difference between the smallest and greatest possible integer value of
[#permalink]
19 Aug 2021, 05:41
19 Aug 2021, 05:41
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Question Stats:
38% (02:45) correct
61% (02:43) wrong based on 81 sessions
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\(m^2 < 225\) and \(n − m= −10\)
A. Quantity A is greater
B. Quantity B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
Quantity A |
Quantity B |
Absolute difference between the smallest and greatest possible integer value of \(3m + 2n\) |
140 |
A. Quantity A is greater
B. Quantity B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
Retired Moderator
Joined: 19 Nov 2020
Posts: 326
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GRE 1: Q160 V152
Re: Difference between the smallest and greatest possible integer value of
[#permalink]
19 Aug 2021, 08:42
19 Aug 2021, 08:42
1
\(|m|<15\) and \(m=n+10\)
\(|n+10|<15\)
\(m<15\) and \(m>-15\)
\(n+10<15\) and \(n+10>-15\)
\(n<5\) and \(n>-25\) ---> \(-25<n<5\) ALSO \(-15<m<15\)
\(-45-50<3m+2n<45+10\) ---> \(-95<3m+2n<55\)
the required is \(|-95-55|=150\)
IMO, answer is A
\(|n+10|<15\)
\(m<15\) and \(m>-15\)
\(n+10<15\) and \(n+10>-15\)
\(n<5\) and \(n>-25\) ---> \(-25<n<5\) ALSO \(-15<m<15\)
\(-45-50<3m+2n<45+10\) ---> \(-95<3m+2n<55\)
the required is \(|-95-55|=150\)
IMO, answer is A
KarunMendiratta wrote:
\(m^2 < 225\) and \(n − m= −10\)
A. Quantity A is greater
B. Quantity B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
Quantity A |
Quantity B |
Absolute difference between the smallest and greatest possible integer value of \(3m + 2n\) |
140 |
A. Quantity A is greater
B. Quantity B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
Retired Moderator
Joined: 16 Apr 2020
Status:Founder & Quant Trainer
Affiliations: Prepster Education
Posts: 1546
Given Kudos: 172
Location: India
WE:Education (Education)
Re: Difference between the smallest and greatest possible integer value of
[#permalink]
19 Aug 2021, 09:29
19 Aug 2021, 09:29
1
Bookmarks
motion2020 wrote:
\(|m|<15\) and \(m=n+10\)
\(|n+10|<15\)
\(m<15\) and \(m>-15\)
\(n+10<15\) and \(n+10>-15\)
\(n<5\) and \(n>-25\) ---> \(-25<n<5\) ALSO \(-15<m<15\)
\(-45-50<3m+2n<45+10\) ---> \(-95<3m+2n<55\)
the required is \(|-95-55|=150\)
IMO, answer is A
\(|n+10|<15\)
\(m<15\) and \(m>-15\)
\(n+10<15\) and \(n+10>-15\)
\(n<5\) and \(n>-25\) ---> \(-25<n<5\) ALSO \(-15<m<15\)
\(-45-50<3m+2n<45+10\) ---> \(-95<3m+2n<55\)
the required is \(|-95-55|=150\)
IMO, answer is A
KarunMendiratta wrote:
\(m^2 < 225\) and \(n − m= −10\)
A. Quantity A is greater
B. Quantity B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
Quantity A |
Quantity B |
Absolute difference between the smallest and greatest possible integer value of \(3m + 2n\) |
140 |
A. Quantity A is greater
B. Quantity B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
Good Explanation but we cannot use 55 and -95 as per the inequality
So, The difference has to be |-94 - (54)| = |-148| = 148
