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Fractions and Decimals

Fractions and Decimals
The value of [0.1 x 0.1 x 0.1 + 0.02 x 0.02 x 0.02] / [0.2 x 0.2 x 0.2 + 0.04 x 0.04 x 0.04] is:

1.25
0.125
12.5
125

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression=[(0.1)³ + (0.02)³] / 2³ [(0.1)³ + (0.02)³]=1/8= 0.125

Fractions and Decimals
(0.47 x 0.47 x 0.47 - 0.33 x 0.33 x 0.33) / (0.47 x 0.47 + 0.47 x 0.33 + 0.33 x 0.33) = ?

1.4
0.014
14
0.14

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression = [(0.47)³ - (0.33)³] / [(0.47)² + 0.47 x 0.33 + (0.33)²]= [a³ - b³ ] / [ a² + ab + b²] = [(a-b) (a² + ab + b²)] / [(a² + ab + b²)]= (a - b) = (0.47 - 0.33) = 0.14

Fractions and Decimals
When 52416 divided by 312 , the quotient is 168. What will be the quotient when 52.416 is divided by 0.0168 ?

312
312000
3120
31200

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given, 52416 / 312 = 168.<=>  52416 / 168 = 312.52.416 / 0.0168 = 524160 / 168 = 3120.

Fractions and Decimals
What will come in place of question mark in the following equation ? 54.(?)3 + 543 + 5.43 = 603.26

5
3
8
7

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let x + 543 + 5.43 = 603.26.Then, x = 603.26 - (543 + 5.43) = 603.26 - 548.43 =54.83Missing digit = 8.

Fractions and Decimals
What should be subtracted from the multiplication of 0.527 and 2.013 to get 1 ?

None of these
60.851
6085.1
0.060851

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

∵ 0.527 x 2.013 = 1.060851Hence, the required number = 1.060851 - 1 = 0.060851.

Fractions and Decimals
The number 0.127 is how much greater than 1/8 ?

1/500
1/1000
1/300
1/800

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

0.127 expressed as a fraction = 127/10001/8 can also be expressed as (1 x 125) / (8 x 125) = 125/1000The difference is 2/1000, which is 1/500

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