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Fractions and Decimals

Fractions and Decimals
[12 / (0.09 of 0.3)] x 2=?

8000/9
800/90
800/9
8000/90

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression = ( 12/ 0.027) x 2= ( 12 / 0.027) x 2 = 24000/27 = 8000/9

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:

0.125
12.5
1.25
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
The value of (489.1375 x 0.0483 x 1.956) / (0.0873 x 92.581 x 99.749) is closest to:

0.6
None of these
6
0.06

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

(489.1375 x 0.0483 x 1.956) / (0.0873 x 92.581 x 99.749)= (489 x 0.05 x 2) / (0.09 x 93 x 100)= 489 / (9 x 93 x 10)= (163 / 279) x (1 / 10)= 0.58 / 10= 0.058  or 0.06

Fractions and Decimals
By how much does 7/(8/9) exceeds (7/8)/9 ?

8 7/9
7 7/9
5 7/9
6 7/9

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Here, we have to find the value of 7/(8/9) - (7/8)/9.(7 x 9/8) - [(7/(8 x 9)]63/8 - 7/72[(63 x 9) - 7] / 72567 - 7/72 = 560/72 = 70/9 = 7 7/9.Hence, 7/(8/9) is greater than (7/8)/9 by 7 7/9.

Fractions and Decimals
9.99 x 9.9 x 9 ÷ 9.9 ÷ 0.3 = ?

2.22
4.44
1.11
3.33

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

? = (9.99 x 9.9 x 9)/(9.9 x 0.9 x 0.3) = 3.33

Fractions and Decimals
A vessel, full of water, weighs 16.5 kg. When the vessel is (1/4)th full, it weight 5.25 kg. Then, weight of the empty vessel (in kg) is ?

100.5 kg
1000.5 kg
10.5 kg
1.5 kg

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the weight of vesel = x kg Then, 1/4 of volume of water = (5.25 - x)kg Full volume of water = (16.5 - x)∴ 4(5.25 - x) = (16.5 - x)⇒ 21 - 4x = 16.5 - x ⇒ 21 - 16.5 = 3x ∴ x = 4.5/3 = 1.5 kg 

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