Aptitude - Volume and Surface Area - Discussion

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 the both 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.

4. 

What is the height of a circular cone?

I. 

The area of that cone is equal to the area of a rectangle whose length is 33 cm.

 II. 

The area of the base of that cone is 154 sq. cm.

[A]. I alone sufficient while II alone not sufficient to answer
[B]. II alone sufficient while I alone not sufficient to answer
[C]. Either I or II alone sufficient to answer
[D]. Both I and II are not sufficient to answer
[E]. Both I and II are necessary to answer

Answer: Option D

Explanation:

II gives the value of r.

But, in I, the breadth of rectangle is not given.

So, we cannot find the surface area of the cone.

Hence, the height of the cone cannot be determined.

Correct answer is (D).


Karthik said: (Aug 28, 2012)  
How the II will give the value of r?

Bharath said: (Aug 15, 2015)  
Area of the base of that cone = r^2.

Asad said: (Aug 26, 2015)  
Rectangle can be shaped into so we have hypotenuse and base through base and height can be found out.

Amiya said: (Oct 16, 2015)  
By area of cone do we mean total surface area or curved surface area?

Ramesh said: (Dec 29, 2016)  
Can anybody explain how II gives the value of 'r'?

Goku said: (Jul 3, 2017)  
Here in the 1st option, we can calculate the slant height irrespective of whether it is curved or total surface area as we have a radius.

Nehu said: (Sep 2, 2017)  
Why not E?

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