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 |
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 1 of 4.
Sowmie said:
7 years ago
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.
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.
(14)
Jyoti shah said:
4 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.
Please explain in detail.
(6)
Vishwajanani said:
6 months ago
1*1*1* + 2*2*2 / 2*2*2 + 4*4*4,
1+8 / 8+64 = 9/72.
1/8 = 0.125.
1+8 / 8+64 = 9/72.
1/8 = 0.125.
(5)
Vikram said:
3 years ago
Anyone, tell how it's came 1/8 = 0.125?
Please explain.
Please explain.
(4)
Mun said:
6 years ago
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.
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.
(4)
Sahil said:
7 years ago
0.5 can be the answer.
(4)
Shiva kumar said:
8 years ago
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.
(1^3+2^3/2^3+4^3) = 1+8/8+64 = 9/72 = 1/8.
Dividing you get 0.125.
(3)
Prayag k babu said:
7 years ago
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.
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.
(2)
Sumon said:
8 years ago
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.
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.
(2)
Saurabh said:
2 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.
(0.1)^3 + (0.02)^3/2^3(0.1^3+0.02^3),
= 1/2^3 = 1/8,
= 0.125.
(1)
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