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 4 of 4.

Jyoti shah said:   5 years ago
Sir, I really don't understand that how can we pick .0.2 common from only one denominator when there's another denominator as 0.04.

Please explain in detail.
(6)

Vikram said:   3 years ago
Anyone, tell how it's came 1/8 = 0.125?

Please explain.
(4)

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)

Vishwajanani said:   1 year ago
1*1*1* + 2*2*2 / 2*2*2 + 4*4*4,
1+8 / 8+64 = 9/72.
1/8 = 0.125.
(11)

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

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

Aravind said:   2 weeks ago
The answer is 0.125 and another answer came 0.25.

I prove the answer, first, by converting the decimal numbers into numbers.
0.1 * 10 = 1.
0.2 * 10 = 2.
0.04 * 100 = 4.
Hence , it is;
1^3 = 1
2^3 = 2 * 2 * 2 = 8.
4^3 = 4 * 4 * 4 = 64.
1/8 adding to 8/64 = 9/72 = 1/8 = 0.125.
And another way is 1/8 and adding 8/64.
16/64 = 1/4
= 0.25.
(1)


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