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kiran120680
Moderator - Masters Forum
Joined: 18 Feb 2019
Last visit: 27 Jul 2022
Posts: 706
Given Kudos: 276
Location: India
Schools: AGSM '20 EDHEC Sept 2019 Intake Great Lakes '21 IE
GMAT 1: 460 Q42 V13
GPA: 3.6
07 Mar 2019, 01:25
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
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Question Stats:
62% (01:59) correct
38%
(02:14)
wrong
based on 91
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In a newly constructed city, plots were rectangular in shape with a length being 2 units more than the breadth. If the area of all the plots are between 25 sq. units and 400 sq. units, which of the following can be the minimum and the maximum possible breadth of any plot? (length and breadth are integers)
A. 5,19
B. 4,19
C. 5,21
D. 6,21
E. 6,19
A. 5,19
B. 4,19
C. 5,21
D. 6,21
E. 6,19
07 Mar 2019, 07:20
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kiran120680
Let the length be l, where l=b+2, and breadth be b...
so area = l*b=b(b+2)
The range of area 25<b(b+2)<400...
We have two values
MINIMUM => b(b+2)>25....
In the options we have 4, 5 and 6. Since we are looking for minimum, let us test the smallest 4, so area = 4(4+2)=24<25... NOT possible
Next value is 5, so area = 5(5+2)=35>25... possible value So, 5 is the least
MAXIMUM => b(b+2)<400....
In the options we have 19 and 21. Since we are looking for maximum, let us test the largest 21, so area = 21(21+2)>400... NOT possible
Next value is 19, so area = 19(19+2)<400... possible value So, 5 is the least
Value 5, 19
A
07 Mar 2019, 07:31
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We can right away delete answer options B, C and D...
The area is between 25 and 400 .. if the breadth is 21.. then length would be 23.. and area would be way more than 400.
If the breadth is 4 , length would be 6 and area would be less than 25..
Thus leaving us with options A AND E... option A would be the right one because 5<6.
Posted from my mobile device
The area is between 25 and 400 .. if the breadth is 21.. then length would be 23.. and area would be way more than 400.
If the breadth is 4 , length would be 6 and area would be less than 25..
Thus leaving us with options A AND E... option A would be the right one because 5<6.
Posted from my mobile device
