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655-705 (Hard)|   Geometry|      
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R1 and R2 are two rectangular tanks. Which one of them has a greater 11 Apr 2018, 09:05
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55% (hard)

Question Stats:

49% (01:38) correct 51% (01:11) wrong based on 64 sessions

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R1 and R2 are two rectangular tanks. Which one of them has a greater capacity? 

(1) Height of R1 is twice the height of R2. 

(2) R2 has a square base of perimeter same as the perimeter of base of R1.
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E
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R1 and R2 are two rectangular tanks. Which one of them has a greater 11 Apr 2018, 11:04
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R1 and R2 are two rectangular tanks. Which one of them has a greater capacity? 

(1) Height of R1 is twice the height of R2. 

(2) R2 has a square base of perimeter same as the perimeter of base of R1.
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Capacity = a*b*h

(1) We know about the heights but know nothing about the other two sides of the base. Insufficient.

(2) Again we do not know about the sides of the base.
Eg- If we assume the base is of perimeter 20, the two sides could be 5,5 or 7,3.
Insufficient.

Combining both the options, we do not have sufficient information about the sides to measure the capacity.

(E)
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R1 and R2 are two rectangular tanks. Which one of them has a greater 19 Apr 2018, 06:57
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Square maximizes the area for a given perimeter. Hence if the square and rectangle have the same perimeter, the area formed by the square base would be greater than the area formed by the rectangular base.

Hence combining 1 & 2, Option C must be the answer.

chetan2u or Bunuel, plz confirm if I am right.
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R1 and R2 are two rectangular tanks. Which one of them has a greater 19 Apr 2018, 08:39
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RLokesh
Square maximizes the area for a given perimeter. Hence if the square and rectangle have the same perimeter, the area formed by the square base would be greater than the area formed by the rectangular base.

Hence combining 1 & 2, Option C must be the answer.

chetan2u or Bunuel, plz confirm if I am right.
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Lokesh we are looking for CAPACITY, which is AREA of base * height..
you are right area of square is MAX for any rectangle with given perimeter..

but we do not know of height as height of square base is LESSER than the other..

example..
1) SQUARE:-
perimeter = 16
area = 4*4=16 and let height = 1
capacity = 16*1=16

2) RECTANGLE
(a)rectangle of base 7*1
perimeter = 16
area = 7*1=7 and height = 1*2=2
capacity = 7*2=14....
so Square>rectangular base

(b) but let the rectangle be of base 6*2
perimeter = 16
area = 6*2=12 and height = 1*2=2
capacity = 12*2=24....
so Square<rectangular base

different possiblities

Insuff

E
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R1 and R2 are two rectangular tanks. Which one of them has a greater Updated on: 06 May 2018, 01:12
Originally posted by push12345 on 22 Apr 2018, 18:25.
Last edited by push12345 on 06 May 2018, 01:12, edited 1 time in total.
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I) only height given nothing about area.

II)area is given only but A1>A2 as A1 has square base square area >rectangle area could be possibility and rectangle area>square area
Check eg of chetan2u above for this

Combining both no result
Answer E

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R1 and R2 are two rectangular tanks. Which one of them has a greater 23 Apr 2018, 23:47
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push12345
I) only height given nothing about area.

II)area is given only but A1>A2 as A1 has square base square area >rectangle area

Combining both
Answer C

Posted from my mobile device
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push12345 Check Expert's explanation above.

Statement 2 implies that
II)area is given only but A1 A2>A2 A1 asA1 A2 has square base square area >rectangle area.
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