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Fractions and Decimals

Fractions and Decimals
(.125 + .027) / (.5 x .5 - 1.5 + .09) = ?

0.8
80
8
800

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression = [(0.5)³ + (0.3)³] / [(0.5)² - 0.5 x 0.3 + (0.3)²]= [a³ + b³] / [a² - ab + b²]=[(a + b)(a² - ab + b²)]/ [a² -ab + b²]= a+b = 0.5 + 0.3 = 0.8

Fractions and Decimals
If 1 / 3.718 = .2689, then the value of 1 / .0003718 is ?

268
2689
268903
26890

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

1 / .003718 = 10000 / 3.718 = 10000 x ( 1/3.718)= 10000 x .2689 = 2689.

Fractions and Decimals
[( 3.242 x 14 ) / 100] = ?

4.5388
0.45388
45.388
0.045388

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Multiplying 3.242 x 14=4.5388Now divide 4.5388 by 100So, 4.5388 ÷ 100= 0.045388∴ Shift the decimal two places to the left as 100

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

10
13
11
12

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
16.7 + 12.38 - ? =10.09

16.99
20.99
14.99
18.99

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let 16.7 + 12.38 - x =10.09∴ x = 16.7 + 12.38 - 10.09 = 18.99

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 ?

1.5 kg
100.5 kg
10.5 kg
1000.5 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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