# Aptitude - Decimal Fraction - Discussion

### Discussion :: 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

 [A]. 0.0125 [B]. 0.125 [C]. 0.25 [D]. 0.5

Explanation:

 Given expression = (0.1)3 + (0.02)3 = 1 = 0.125 23 [(0.1)3 + (0.02)3] 8

 Acharya said: (Apr 14, 2011) How is it explain please.

 Sarada said: (Aug 19, 2011) How can you common 2^3 from denominator?

 Sukeshani Kadam said: (Sep 9, 2011) I don't understand this proble. Please explain

 Anusha said: (Sep 15, 2011) 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

 Vikram Grandhi143 said: (Oct 3, 2012) It is just take the common of 0.2 on denominator.

 Prasanna said: (Feb 7, 2013) It simple guys. Just divide (0.1) hole power 3 and (0.02) hole power 3 and take cube of 2 so we get the answer 1/8.

 Manjula said: (May 24, 2013) Hai friends, They just take 2 common in denominator. (0.2)^3+(0.4)^3 they take 2^3 common. So, 2^3(0.1)^3+(0.2)^3.It is cancelled. 1/8 = 0.125.

 Maulik said: (Jan 31, 2014) If you calculate with calculator than is the answer is same ? Can anybody explain it in simple way.

 Chandu said: (May 29, 2014) First answer is good one we must take the common 2 so we can get the answer essay.

 Manuj said: (Sep 12, 2014) Can anyone explain the numerator?

 Sunilkumar said: (Nov 25, 2014) Here, 2*[0.1] = 0.2. 2*[0.02] = 0.04. Thus taking 2 common. ==> 23 [(0.1)3 + (0.02)3].

 Sankar said: (Nov 26, 2014) We know the formula, (a^m x b^m) = (ab)^m. In the denominator, take 2^3 common & apply above formula.

 Gobi said: (Dec 26, 2014) Actual answer is 0.017730666. Then how is possible 1/8 = 0.0025.

 Bangaru Sathish said: (Feb 19, 2015) 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: (Apr 13, 2016) How to convert .008 to 1 and .000064 to 8?

 Hema said: (Jul 11, 2016) 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: (Jul 13, 2016) Simple to learn with the given explanations. Thanks.

 Chakresh Patel said: (Aug 14, 2016) Thanks @Hema.

 Jeyendran-Eee said: (Aug 14, 2016) We take root of 1/8, Then we get the answer 0.125.

 Vasu said: (Sep 4, 2016) 2((0.1)^3 + (0.02)^3) = (0.2)^3 + (0.04)^3 why do we have to take 2^3 out of it?

 Anupama said: (Feb 23, 2017) 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.

 Saddam said: (Apr 8, 2017) (0.1)^3+(0.2)^3=0.9 /(0.2)^3+(0.4)^3 = 0.70, So, 0.9/0.70 = 0.125.

 Shiva Kumar said: (Apr 25, 2017) 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.

 Sumon said: (Sep 4, 2017) 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.

 Prayag K Babu said: (Feb 17, 2018) Hi guys, We take 2 common in the denominator so that we can cancel the numerator and denominator and post that we are only left with 1/2 and not 1/2^3. Hence the answer is 1/2 that is 0. 5. If you don't understand just take an example. We have denominator as 8*8*8+4*4*4. So let's take 2 commons, So it will be 2[4*4*4+2*2*2]. Which is nothing but 2[4^3+2^3]. The 2 which we took as common cannot have power 3. Hope this helps you.

 Jyoshna said: (Aug 28, 2018) How 1/8=0.125? explain.

 Sowmie said: (Dec 1, 2018) Just multiply 0.1 * 10 we get 1. Then 0.2 * 10=2 so 2^3 is 8. Then 0.04 * 100=4 so 4^3 Is 64. Then 0.02 * 100=2 so 2^3 is 8. Now, 1 + 8/8 + 64 = 9/72 = 1/8 = 0.125.

 Sahil said: (Dec 14, 2018) 0.5 can be the answer.

 Vasista said: (Aug 12, 2019) 0.1X0.1X0.1/((2X0.1)+(2X0.1)+(2X0.1) and so on; Hence 1/2^3 that is 0.125.

 Mun said: (Dec 16, 2019) Easy : We can take cube for above question: 1st remove decimal and take cube 10^3 = 1000 and 2^3 = 8 / 20^3=8000 and 4^3 = 64. Then 10000+8/8000+64. Then we get 1/8 and. 0. 125 answer.