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.
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)
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
[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
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.
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.
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)
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.
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.
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)
Manjula said:
1 decade ago
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.
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.
Anupama said:
8 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.
And 0.04 = 4/100 = 2(2/100) = 2 * (0.02).
Taking 2 in common, expression can be written as given explanation.
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)
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