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Fractions and Decimals

Fractions and Decimals
13.065 x 13.065 - 3.065 x 3.065 =?

16.13
1613
1.613
161.3

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression =(13.065)²-(3.065)² =(13.065 + 3.065) x (13.065 - 3.065)=16.13 x 10 = 161.3

Fractions and Decimals
From a rope 30 m long, a person cuts off as many pieces as possible, each 3 1/4 m long. What fraction of the whole will be left ?

1/5
1/3
1/2
1/4

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Length of each piece = 3 1/4 = 13/4 m Maximum pieces that can be cut = 30/(13/4) = 9 ∴ Rope left = 30 - 13/4 x 9 = 120 - 117/4 = 3/4 m∴ Required fraction = 3/4/30 = 1/4 

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
6
0.06
None of these

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
If 1.5x = 0.04y, then the value of ( (y - x) / (y+x) ) is :

71/74
73/77
61/63
65/67

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

x / y  = 0.04 / 1.5 = 4 / 150 = 2 / 75.= > ( (y - x) / (y+x) ) = (1 - (x / y)) / ( 1 + ( x / y)) = (1 - 2/75) / (1 + 2/75) = 73/77.

Fractions and Decimals
16.001 x 11.999 x 99.989 x 0.9 = ?

17280
20924
19347
18764

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

? = 16 x 12 x 100 x 0.9 ? = 17280

Fractions and Decimals
3420 / 19 = ( ? / 0.01) x 7

9/30
9/40
9/35
9/45

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let 3420 / 19 = (y / 0.01) x 7Then , y = ( 3420 / 19) x (0.01 / 7) = 180 / 700 = 9/35

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