Fractions and Decimals Find the sum 3/10 + 5/100 + 8/1000 in decimal form ? 3.58 0.358 35.8 None of these 3.58 0.358 35.8 None of these ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 3/10 + 5/100 + 8/1000= 0.3 + 0.05 + 0.008 = 0.358
Fractions and Decimals The product of 3.5413 x 2.1 is 743.673 7.43673 None of these 74.3673 743.673 7.43673 None of these 74.3673 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP For the product of 3.5413 x 2.1Consider 35413 x 21 = 743673Total decimal places = 4 + 1∴ 3.5413 x 2.1=7.43673
Fractions and Decimals If the numerator of a fraction is increased by 2 and the denominator is increased by 1, the fraction because 5/8 and if the numerator of the same fraction is increased by 3 and the denominator is incr 3/7 2/7 4/7 1/7 3/7 2/7 4/7 1/7 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the original fraction be p/q Then, (p + 2) / (q + 1) = 5/8⇒ 8p - 5q = 11 .....(i)Again (p + 3) / (q + 1) = 3/4⇒ 4p - 3q = 9 ...(ii)Solving equations , (i) and (ii), we get ,p = 3 and q = 7∴ Fraction = 3/7
Fractions and Decimals [(0.87)³ + (0.13)³] / [(0.87)² - 0.87 x 0.13 + (0.13)²] = ? 4 3 1 2 4 3 1 2 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Given Expression = ( a³ + b³ )/ (a² + b² - ab) where = 0.87 and b = 0.13= [(a + b ) (a² + b² - ab)] / (a² + b² - ab) = a + b = 0.87 + 0.13= 1
Fractions and Decimals (1.1 + 1.1 + 1.1 + 1.1) x 1.1 x 1.1 = ? = ? x 0.121 54 33 44 64 54 33 44 64 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ? = (1.1 + 1.1 + 1.1 + 1.1) x 1.1 x 1.1/0.121 = (4.4 x 1.1 x 1.1)/0.121 = 44
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 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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