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Fractions and Decimals

Fractions and Decimals
0.8 x ? =0.0004

0.00005
0.005
0.0005
0.05

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let 0.8y = 0.0004Then,y = 0.0004 / 0.8 = 0.004 / 8= .0005

Fractions and Decimals
If x/y = 0.3, then (2x - y)/(2x + y) = ?

0.5
0.25
0.5
0.15

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

x = 0.3y Then, (y - 2x)/(y + 2x)= y - 2(0.3y)/y + 2(0.3y)= y - 0.6y/y + 0.6y= 0.4y/1.6y= 0.4/1.6 = 0.25

Fractions and Decimals
Find the integer which when decreased by 2 is 80 times the reciprocal of the same number

12
10
13
11

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be X Decreasing 2 from XX - 2 = 80 x (1/X)X^2 - 2X = 80X^2 -2x -80 = 0(X-10)(X+8) = 0x=10,-8X has two values, but among the given options X value should be 10

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 ?

1000.5 kg
1.5 kg
10.5 kg
100.5 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 

Fractions and Decimals
(.58 x .58 x .58 - .42 x .42 x .42 - 3 x .58 x .42 x .16) = ?

0.04096
4.096
0.004096
0.4096

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given Expression = (.53)³ - (.42)³- 3 x .58 x .42 x (.58-.42)= a³-b³ -3ab(a - b) = (a - b)³(where a = .58 and b=.42)= (.58 - .42 )³ = .16 x .16 x .16 = 0.004096

Fractions and Decimals
When 0.232323.... is converted into a fraction , then the result is

26/99
24/99
23/99
25/99

ANSWER DOWNLOAD EXAMIANS APP
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