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amanvermagmat
A rectangular tank of dimensions 35 inches, 16 inches and 'X' inches respectively is completely filled with water. All its water is emptied into a cylindrical tank of radius 14 inches. What is the height of the cylindrical tank?

(1) X = 11

(2) Rectangular tank has a volume of 6160 cubic inches

Solution:
Pre Analysis:
  • Dimension of the cuboidal tank is 35 inches, 16 inches, and 'X' inches
  • Radius of cylindrical tank \(= 14\) inches
  • Let us assume the height of the cylindrical tank be \(= h\)
  • We are given that the cuboidal tank is completely filled with water
  • Thus the amount of water will be = volume of cuboidal tank \(=35\times 16\times X\)
  • This water is being transferred to the cylindrical tank
    • TRAP!! we don't know if the water is completely filling the cylindrical tank or not
  • So, we cannot yet say that volume of cuboidal tank = volume of the cylindrical tank
  • To get the answer, we need the value of X and the amount of the cylindrical tank getting filled

Statement 1: X = 11
  • This statement is only giving us the value of X and no information on the amount of cylindrical tank getting filled
  • Thus, statement 1 alone is not sufficient and we can eliminate options A and D

Statement 2: Rectangular tank has a volume of 6160 cubic inches
  • Accordign to this statement, \(6160=35\times 16\times X\)
  • Using this we can get \(X=11\)
  • This statement is only giving us the value of X and no information on the amount of cylindrical tank getting filled
  • Thus, statement 2 alone is also not sufficient

Combining:
  • Even after combining, we only get the value of X from both the statement

Hence the right answer is Option E
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