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

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Senior Manager
Joined: 22 Feb 2018
Posts: 411
R1 and R2 are two rectangular tanks. Which one of them has a greater  [#permalink]

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11 Apr 2018, 08:05
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Difficulty:

65% (hard)

Question Stats:

39% (01:23) correct 61% (01:11) wrong based on 56 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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Location: India
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Re: R1 and R2 are two rectangular tanks. Which one of them has a greater  [#permalink]

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11 Apr 2018, 10:04
Princ wrote:
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.

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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Joined: 27 Aug 2016
Posts: 15
Re: R1 and R2 are two rectangular tanks. Which one of them has a greater  [#permalink]

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19 Apr 2018, 05:57
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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Joined: 02 Aug 2009
Posts: 7106
Re: R1 and R2 are two rectangular tanks. Which one of them has a greater  [#permalink]

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19 Apr 2018, 07:39
RLokesh wrote:
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.

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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1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html

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R1 and R2 are two rectangular tanks. Which one of them has a greater  [#permalink]

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Updated on: 06 May 2018, 00:12
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

Posted from my mobile device
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Originally posted by push12345 on 22 Apr 2018, 17:25.
Last edited by push12345 on 06 May 2018, 00:12, edited 1 time in total.
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Joined: 22 Feb 2018
Posts: 411
Re: R1 and R2 are two rectangular tanks. Which one of them has a greater  [#permalink]

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23 Apr 2018, 22:47
push12345 wrote:
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

Posted from my mobile device

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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Re: R1 and R2 are two rectangular tanks. Which one of them has a greater &nbs [#permalink] 23 Apr 2018, 22:47
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