Aptitude - Decimal Fraction - Discussion

Discussion Forum : Decimal Fraction - General Questions (Q.No. 4)
4.
The value of 0.1 x 0.1 x 0.1 + 0.02 x 0.02 x 0.02 is:
0.2 x 0.2 x 0.2 + 0.04 x 0.04 x 0.04
0.0125
0.125
0.25
0.5
Answer: Option
Explanation:
Given expression = (0.1)3 + (0.02)3 = 1 = 0.125
23 [(0.1)3 + (0.02)3] 8
Discussion:
34 comments Page 2 of 4.

Sumon said:   8 years ago
Explanation.

0.1^3+0.2^3/0.2^3+0.4^3 look here,
.04^3 means.0.2^3*0.2^3.
So, 0.1/2^3.
(2)

Shiva kumar said:   8 years ago
Friends its very simple first remove decimals then you get.

(1^3+2^3/2^3+4^3) = 1+8/8+64 = 9/72 = 1/8.
Dividing you get 0.125.
(3)

Saddam said:   8 years ago
(0.1)^3+(0.2)^3=0.9 /(0.2)^3+(0.4)^3 = 0.70,
So, 0.9/0.70 = 0.125.

Anupama said:   8 years ago
0.2 = 2/10 = 2 * (0.1).
And 0.04 = 4/100 = 2(2/100) = 2 * (0.02).

Taking 2 in common, expression can be written as given explanation.

Vasu said:   9 years ago
2((0.1)^3 + (0.02)^3) = (0.2)^3 + (0.04)^3 why do we have to take 2^3 out of it?

Jeyendran-EEE said:   9 years ago
We take root of 1/8,

Then we get the answer 0.125.

Chakresh patel said:   9 years ago
Thanks @Hema.

Ezra mike said:   9 years ago
Simple to learn with the given explanations. Thanks.

Hema said:   9 years ago
Here

2 * (0.1) = 0.2
2 * (0.02) = 0.04

Then the question we get;

(0.1)^3 + (0.02)^3 / (2(0.1))^3 + (2(0.02))^3.

Then the denominator we can take 2 in common,

(0.1)^3 + (0.02)^3 / 2^3[(0.1)^3 + (0.02)^3].
Then, we can get 1/2^3.
We know 1/8, So we get the answer is 0.125.

SIDHARTHAN M said:   9 years ago
How to convert .008 to 1 and .000064 to 8?


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