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Fractions and Decimals

Fractions and Decimals
(0.16)² - (0.12)² = ?

11.2
0.0112
1.12
.112

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

? = a² - b² = (a + b)(a - b)Hence, (0.16)² - (0.12)²= (0.16 + 0.12)(0.16 - 0.12)= 0.28 x 0.04 = 0.0112

Fractions and Decimals
(.24 x .35 ) / (.14 x .15 x .02) is equal to ?

182
200
188
176

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

(.24 x .35) / (.14 x .15 x .02)= (24 x 35 x 100 ) / (14 x 15 x 2)=200 

Fractions and Decimals
(369.99)² = ?

1369
None of these
1369 x 10²
1369 x 10

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

1369 x 10²

Fractions and Decimals
By how much is 12% of 24.2 more than 10% of 14.2 ?

1.884
1.684
1.484
1.284

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Required difference = (12 x 24.2) / 100 - (10 x 14.2) / 100= 2.904 -1.42 = 1.484

Fractions and Decimals
(44.99)² - (15.01)² = ?

1500
1800
1100
700

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

a² - b² = (a + b)(a - b)Hence, (44.99)² - (15.01)² = (44.99 + 15.01)(44.99 - 15.01)= 60 x 29.98 = 60 x 30 = 1800

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
100.5 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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