Aptitude - 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.

2. 

The area of a rectangle is equal to the area of right-angles triangle. What is the length of the rectangle?

I. 

The base of the triangle is 40 cm.

 II. 

The height of the triangle is 50 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:

Given: Area of rectangle = Area of a right-angles triangle.

l x b = 1 x B x H
2

I gives, B = 40 cm.

II gives, H = 50 cm.

Thus, to find l, we need b also, which is not given.

Given data is not sufficient to give the answer.

Correct answer is (D).


Arc said: (Jan 10, 2012)  
can anybody explain why the data is not sufficient as only the length is asked?

Ram said: (Jun 22, 2014)  
Can't height of triangle be the length of rectangle? Sorry that the answer to the question would be E.

Pragnya said: (Jan 9, 2015)  
Area of rectangle = Area of right angled triangle.

l*b = 1/2 (b*h).

(so b is given as 40 and h is given as 50. So substitute the both values in above formula).

Hence,

l*40 = 1/2(40*50).
l = 40*50/2*40.
l = 25.

To prove the statement of area of rectangle is equal to right angled triangle you can just substitute in the formulas.

Area of rectangle = l*b = 25*40 = 1000.

Area of right angled triangle = 1/2(b*h) = 1/2(40*50) = 1000.

Hence, both are equal the statement is proved.

So the answer is E.

Hope you guys understood!

Kiran said: (Jan 9, 2019)  
I think the correct answer is E.

Post your comments here:

Name *:

Email   : (optional)

» Your comments will be displayed only after manual approval.