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

Question

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.

shoumkrish · Answer

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)

RLokesh · Answer

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.

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

chetan2u  or  Bunuel , plz confirm if I am right.

chetan2u · Answer

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

push12345 · Answer

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

Posted from my mobile device

Princ · Answer

push12345  Check Expert's explanation above.

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

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

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