Directions : Each of the questions given below consists of a statement and/or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is/are sufficient to answer the given question. Read both the statements and Give answer (a) if the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question; Give answer (b) if the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question; Give answer (c) if the data either in Statement I or in Statement II alone are sufficient to answer the question; Give answer (d) if the data even in both Statements I and II together are not sufficient to answer the question; Give answer (e) if the data in both Statements I and II together are necessary to answer the question. What is the capacity of a cylindrical tank? I. Radius of the base is half of its height which is 28 metres. II. Area of the base is 616 sq. metres and its height is 28 metres.
Verbal Reasoning
Data Sufficiency
Difficulty: Easy
Choose an option
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Aif the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question
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Bif the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question
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Cif the data either in Statement I or in Statement II alone are sufficient to answer the question
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Dif the data even in both Statements I and II together are not sufficient to answer the question
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Eif the data in both Statements I and II together are necessary to answer the question
Answer
Correct Answer: if the data either in Statement I or in Statement II alone are sufficient to answer the question
Explanation
### Concept & Formula
The capacity of a cylindrical tank is equivalent to its volume. Calculating volume requires knowing the radius of the base and the height of the cylinder.
$$Capacity = \pi r^2 h$$
### Step-by-Step Solution
1. Evaluate Statement I alone: The statement gives the height as $28\text{ metres}$ and establishes a relationship to find the radius ($r = 28 / 2 = 14\text{ m}$). With both $r$ and $h$ known, capacity can be fully calculated. Statement I is sufficient.
2. Evaluate Statement II alone: The statement provides the area of the base ($616\text{ sq. m}$) and the height ($28\text{ m}$). Since $Volume = Base\ Area \times Height$, we have all necessary components to calculate the capacity ($616 \times 28$). Statement II is also independently sufficient.
### Exam Strategy & Shortcut
Look for the variables needed. Volume needs a base parameter (radius, diameter, or area) and a height parameter. If a statement gives both (or a base area + height directly), it is sufficient immediately without requiring manual computation.
### Common Pitfall
Performing the complex calculations (like calculating $616 \times 28$) is a massive time sink. In Data Sufficiency, your goal is only to determine *if* an answer can be found, not to find it.
### Final Answer
Therefore, the correct answer is **if the data either in Statement I or in Statement II alone are sufficient to answer the question**.