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:
37 comments Page 2 of 4.

Jyoshna said:   7 years ago
How 1/8=0.125? explain.
(1)

Vasista said:   7 years ago
0.1X0.1X0.1/((2X0.1)+(2X0.1)+(2X0.1) and so on;

Hence 1/2^3 that is 0.125.
(1)

Saurabh said:   3 years ago
Just simply take 2^3 as common in the denominator.
(0.1)^3 + (0.02)^3/2^3(0.1^3+0.02^3),
= 1/2^3 = 1/8,
= 0.125.
(1)

Anusha said:   1 decade ago
In denominator 0.2 three times multiplied means (0.2)^3 and 0.04 also three times multiplied means (0.04)^3 so from both fractions we taking 2^3 common

[0.2)^3+(0.04)^3]
2^3[(0.1)^3+(0.02)^3

Then numerator and denominator having same value so they canceled each other 2^3 means 8
1/8 =0.125
(1)

Ashrafalmaas said:   4 months ago
By dividing 1/8=0.125.

Sheershika said:   2 months ago
Thanks all for explaining the answer.

Jeyendran-EEE said:   10 years ago
We take root of 1/8,

Then we get the answer 0.125.

Saddam said:   9 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:   9 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.

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].


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