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.
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)
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)
Vikram said:
3 years ago
Anyone, tell how it's came 1/8 = 0.125?
Please explain.
Please explain.
(4)
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)
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)
Vasista said:
6 years ago
0.1X0.1X0.1/((2X0.1)+(2X0.1)+(2X0.1) and so on;
Hence 1/2^3 that is 0.125.
Hence 1/2^3 that is 0.125.
(1)
Sahil said:
7 years ago
0.5 can be the answer.
(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)
Jyoshna said:
7 years ago
How 1/8=0.125? explain.
(1)
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)
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