Aptitude — Decimal Fraction — Discussion

Discussion :: Decimal Fraction — General Questions ( Q.No.4 )

Answer: Option B

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

Then numerator and denominator having same value so they canceled each other 2^3 means 8
1/8 =0.125

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.

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.

If you calculate with calculator than is the answer is same ?

Can anybody explain it in simple way.

Thus taking 2 common.

Actual answer is 0.017730666.

Then how is possible 1/8 = 0.0025.

Given problem = [(0.1)^3+(0.02)^3]/[(0.2)^3+(0.04)^3].

2 * (0.1) = 0.2
2 * (0.02) = 0.04

Then the question we get;

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.

We take root of 1/8,

Then we get the answer 0.125.

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.

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.

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.

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.

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