Fractions and Decimals If two-third of two-seventh of a number is 60, then two-fifteenth of that number is 56 42 71 34 56 42 71 34 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be X.Then 2/3 x 2/7 x X =60X = 60 x 7 x 3 / 4 = 315Then, 2/15 of 315 = 2/15 x 315 = 42.Hence the required number is 42
Fractions and Decimals [(0.05)² + (0.41)² +(0.073)²] / [(0.005)² + (0.041)² + (0.0073)²] = ? 100 10000 1000 100000 100 10000 1000 100000 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Given expression = [(0.05)² + (0.41)² +(0.073)²] / [(0.005)² + (0.041)² + (0.0073)²] Which is in form of [(a² + b² + c²)] /[ (a/10)² + (b/10)² + (c/10)²] = 100 x (a² + b² + c²) / (a²+b²+c²) = 100
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) = ? 0.14 1.4 0.014 14 0.14 1.4 0.014 14 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 475.124 x 15.98 ÷ 8.001 + 33.33 = ? 983.578 1083.578 1183.578 883.578 983.578 1083.578 1183.578 883.578 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ? = 475.124 x (15.98 ÷ 8.001) + 33.33= (475.124 x 16/8) + 33.33 = 950.248 + 33.33 = 983.578
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 10.5 kg 1000.5 kg 100.5 kg 1.5 kg 10.5 kg 1000.5 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 When 0.36 is written in simplest form, the sum of the numerator and the denominator is : 45 23 34 12 45 23 34 12 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 0.36 = 36/100 = 9/25.Sum of the numerator and denominator is 9 + 25 = 34
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