Question:medium

A tank is filled with certain amount of water upto its top edge. Is the volume of tank greater than 514 m3?
Statement 1: The amount of water in the tank is 1000 litres
Statement 2: The outer surface of tank is in the form of a cube of length 10 m

Updated On: Jan 13, 2026
  • Statement (1) alone is sufficient to answer the question
  • Statement (2) alone is sufficient to answer the question
  • Both the statements together are needed to answer the question
  • Either statement (1) alone or statement (2) alone is sufficient to answer the question
  • Neither statement (1) nor statement (2) suffices to answer the question
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The Correct Option is

Solution and Explanation

The correct answer is option (E):
Neither statement (1) nor statement (2) suffices to answer the question

The question asks if the volume of the tank is greater than 514 m3. We need to determine if we can calculate the tank's volume based on the given statements.

Statement 1 tells us the amount of water in the tank is 1000 litres. However, knowing the amount of water *in* the tank doesn't tell us the tank's total volume. The tank could be partially filled. We also need to know the units match up and we need to know how to convert litres to cubic meters. 1000 litres is equal to 1 cubic meter. Even if the tank was completely filled, knowing it holds 1 m3 of water does not allow us to determine if the volume is greater than 514 m3. Therefore, Statement 1 alone is insufficient.

Statement 2 tells us the *outer surface* of the tank is a cube with a length of 10 m. If we assume the question refers to the entire volume of the tank, and if the tank's wall is very thin, we can calculate the volume as 10 m * 10 m * 10 m = 1000 m3. If this volume is 1000 m3, the question would be answered yes. If we do not make the assumption about the walls, we still do not know if the interior volume is greater than 514 m3. Therefore, Statement 2 alone is sufficient.

Since Statement 1 cannot answer the question on its own, and Statement 2 can answer the question on its own, the appropriate response should be either of them is sufficient.

Let's break it down again. Statement 1 gives us the amount of water. That does not define the size of the tank, only what is currently in it. Statement 2, assuming a thin wall, does define the outside dimensions and would allow us to calculate volume. But it could still have a thin layer, an interior space, or it could have thick walls and we would not know how to answer the question. It seems that there is a key part that is missing here.

The correct answer is: Neither statement (1) nor statement (2) suffices to answer the question.
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