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 4 of 4.

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.


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