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:
35 comments Page 2 of 4.
Prayag k babu said:
8 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)
Shiva kumar said:
9 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)
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.
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.
And 0.04 = 4/100 = 2(2/100) = 2 * (0.02).
Taking 2 in common, expression can be written as given explanation.
Vasu said:
9 years ago
2((0.1)^3 + (0.02)^3) = (0.2)^3 + (0.04)^3 why do we have to take 2^3 out of it?
Jeyendran-EEE said:
9 years ago
We take root of 1/8,
Then we get the answer 0.125.
Then we get the answer 0.125.
Chakresh patel said:
9 years ago
Thanks @Hema.
Ezra mike said:
9 years ago
Simple to learn with the given explanations. Thanks.
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.
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