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.

Sunilkumar said:   1 decade ago
Here,

2*[0.1] = 0.2.
2*[0.02] = 0.04.

Thus taking 2 common.

==> 23 [(0.1)3 + (0.02)3].

Sankar said:   1 decade ago
We know the formula, (a^m x b^m) = (ab)^m. In the denominator, take 2^3 common & apply above formula.

Gobi said:   1 decade ago
Actual answer is 0.017730666.

Then how is possible 1/8 = 0.0025.

Bangaru Sathish said:   1 decade ago
Given problem = [(0.1)^3+(0.02)^3]/[(0.2)^3+(0.04)^3].

Then [(0.1)^3+(0.02)^3]/[(2(0.1))^3+(2(0.02))^3.

Then [(0.1)^3+(0.02)^3]/2^3[(0.1)^3+(0.02)^3].

Then 1/2^3.

Finally 1/8.

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

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.

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

Chakresh patel said:   9 years ago
Thanks @Hema.

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

Then we get the answer 0.125.

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?


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