Aptitude - Square Root and Cube Root - Discussion

Discussion Forum : Square Root and Cube Root - General Questions (Q.No. 6)
6.

If a = 0.1039, then the value of 4a2 - 4a + 1 + 3a is:

0.1039
0.2078
1.1039
2.1039
Answer: Option
Explanation:

4a2 - 4a + 1 + 3a = (1)2 + (2a)2 - 2 x 1 x 2a + 3a

   = (1 - 2a)2 + 3a

   = (1 - 2a) + 3a

   = (1 + a)

   = (1 + 0.1039)

   = 1.1039

Discussion:
71 comments Page 4 of 8.

G Anirudh said:   8 years ago
Let me help you guys.

Here the given question can have 2 different answers as;

(1-2a)^2 = 4a^2-4a+1= (2a-1)^2.

Hence for questions like these, try to verify with both the answers and select the given option.
here answers are -0.4805 and 1.1039. so since all options are +ve we select the +ve ans i.e. 1.1039.

Amitabha Das said:   8 years ago
It can also be (2a-1)^2.

Maurya said:   8 years ago
Since all the options are positive we have to choose (1-2a).

Shrikant T. said:   8 years ago
Here you have given the formula (x-y)^2.

If we take the value of x = 2a and value of b = 1 then,
(x-y)^2 = x^2 -2xy + y^2.
i.e 4a^2 - 4a + 1.

But here you have taken (1-2a)^2, which yields the completely different equation.
Please correct and clarify.

Surya said:   7 years ago
Why not 2a-1?

How can 1-2a?

Siri said:   5 years ago
I am not understanding this whole solution, can someone explain to me in an easy manner?

Rahul said:   1 decade ago
+*- = -

Then how it bcmz (1-2a)+3a = 1+a ?

Anyone can tell?

Joginder said:   1 decade ago
I have the same doubt, why cant it be (2a-1)2.

Sid said:   1 decade ago
Who goes for the answer anyone solving this would go for the formula asq - 2ab + bsq which will give (2a - 1)sq.

I don't think (1-2a)sq can be the way out.

Mannoj kumar said:   1 decade ago
I agree with sayani. We need to see the options also.


Post your comments here:

Your comments will be displayed after verification.