Fractions and Decimals The value of [(0.96)³- (0.1)³] / [(0.96)² + 0.096 + (0.1)²] is : 0.56 0.36 0.46 0.86 0.56 0.36 0.46 0.86 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Given expression=[(0.96)³ - (0.1)³] / [(0.96)² + (0.96 x 0.1) + (0.1)²]= [(a³ - b³) / (a² + ab + b²)] = (a - b)= (0.96 - 0.1)= 0.86
Fractions and Decimals (0.16)² - (0.12)² = ? 0.0112 11.2 .112 1.12 0.0112 11.2 .112 1.12 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 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 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 The fraction ( 101 * 27/100000 ) in decimal form is : 10100.027. 1010.0027 101.00027 101000.27 10100.027. 1010.0027 101.00027 101000.27 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 101 * 27 / 100000 = 101 + 27 / 100000 = 101 + .00027 = 101.00027.
Fractions and Decimals Evaluate : [(2.39)² - (1.61)²] / [2.39 - 1.61] 4 3 6 2 4 3 6 2 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Given Expression=(a² - b²) / (a - b)=[(a + b)(a - b)] / (a - b)= (a + b)= (2.39 + 1.61)= 4
Fractions and Decimals If two-third of two-seventh of a number is 60, then two-fifteenth of that number is 42 34 71 56 42 34 71 56 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
EXAMIANS