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Fractions and Decimals

Fractions and Decimals
? / .0025 = 800

1
4
3
2

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let k / .0025=800 Then, k = 800 x .0025= ( 800 x 25 ) / 10000 = 2

Fractions and Decimals
8.32 x 0.999 = ?

831.168
8311.68
8.31168
83.1168

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression = 8.32 x 0.999= 8.32 x (1-0.001) = 8.32 - 8.32 x 0.001=8.32 - .00832 = 8.31168

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) = ?

0.014
0.14
14
1.4

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
(3.65 x 3.65 + 2.35 x 2.35 - 2 x 2.35 x 3.65) / 1.69 = ?

3
4
1
2

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression=[(3.65)² + (2.35)² -2 x 3.65 x 2.35 ] / 1.69=a² + b² - 2ab / 1.69, Where a = 3.65 and b = 2.35=(a - b)² / 1.69 = (3.65 - 2.35)² / 1.69 = (1.3)² / 1.69 = 1.69 / 1.69 = 1

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
1000.5 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
A person was asked to state his age in years. His reply was , "Take my age 3 years hence, multiply it by 3 and subtract 3 times my age 3 years ago and you will know how old I am." What was the age of

17
19
18
16

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the present age of person be   x years.Then, 3(x + 3) - 3(x - 3 ) = x  <=> (3x + 9) - (3x - 9) = x  <=> x = 18

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