Fractions and Decimals [(3.537 - .948)² + (3.537 + .948)²] / [(3.537)² + (.948)²] = ? 0 2 3 1 0 2 3 1 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Given expression = [(3.537 - .948)² + (3.537 + .948)²] / [(3.537)² + (.948)²] = [(a - b)² + (a + b)²] / (a²+ b²) (Where a = 3.537 and b = 0.948)= 2(a² +b²) / (a² +b²) = 2
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 100.5 kg 10.5 kg 1.5 kg 1000.5 kg 100.5 kg 10.5 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 ( .009 / ?) = .01 0.9 9 0.009 0.09 0.9 9 0.009 0.09 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let .009 / x = .01; Then x = .009 / .01=.9 / 1= .9
Fractions and Decimals 5 x 0.25 x 6.301 x 0.00394=? 31.0324250 0.0310324250 3.10324250 0.310324250 31.0324250 0.0310324250 3.10324250 0.310324250 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Here 5 x 25 x 6301 x 394=310324250Total decimal places = (2+3+5) = 10 ∴ 5 x 0.25 x 6.301 x 0.00394 = 0.0310324250
Fractions and Decimals (44.99)² - (15.01)² = ? 1100 1500 700 1800 1100 1500 700 1800 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 ( 17.28 / ? ) / (3.6 x 0.2) = 200 0.13 0.12 0.11 0.10 0.13 0.12 0.11 0.10 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let (17.28 / y) / (3.6 x 0.2) = 200Then,17.28 / y = 200 x 3.6 x 0.2∴ y = 17.28 / (200 x 3.6 x 0.2) = 1728 / 200 x 36 x 2 = 0.12.
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