Fractions and Decimals (.58 x .58 x .58 - .42 x .42 x .42 - 3 x .58 x .42 x .16) = ? 4.096 0.4096 0.04096 0.004096 4.096 0.4096 0.04096 0.004096 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Given Expression = (.53)³ - (.42)³- 3 x .58 x .42 x (.58-.42)= a³-b³ -3ab(a - b) = (a - b)³(where a = .58 and b=.42)= (.58 - .42 )³ = .16 x .16 x .16 = 0.004096
Fractions and Decimals If 1.5x = 0.04y, then the value of ( (y - x) / (y+x) ) is : 71/74 73/77 61/63 65/67 71/74 73/77 61/63 65/67 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x / y = 0.04 / 1.5 = 4 / 150 = 2 / 75.= > ( (y - x) / (y+x) ) = (1 - (x / y)) / ( 1 + ( x / y)) = (1 - 2/75) / (1 + 2/75) = 73/77.
Fractions and Decimals If a fraction is multiplied by itself and then divided by the reciprocal of the same fraction, the result is 18 26/27. Find the fraction. 5 2/3 2 2/3 7 2/3 9 2/3 5 2/3 2 2/3 7 2/3 9 2/3 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP If the required fraction be P According to the question (P x P) / (1/P) = 18 26/27⇒ P³ = 512/27∴ P = 8/3 = 2 2/3
Fractions and Decimals ( 17.28 / ? ) / (3.6 x 0.2) = 200 0.12 0.11 0.13 0.10 0.12 0.11 0.13 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.
Fractions and Decimals (1.04 x 1.04 + 1.04 x 0.04 + 0.04 x 0.04) / (1.04 x 1.04 x 1.04 - 0.04 x 0.04 x 0.04) = ? 3 0 2 1 3 0 2 1 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Given Expression = (1.04)² + 1.04 x 0.04 + (0.04)² / (1.04)³ - (0.04)³= (a² + ab + b²) / (a³ - b³) = (a² + ab + b²) / [(a-b) (a² + ab + b²)]= 1 / (a - b)= 1/ (1.04 - 0.04) = 1
Fractions and Decimals 450.271 + 369.422 ÷ 0.03 - 108.612 x 2.001 = ? 12532 13532 14532 15532 12532 13532 14532 15532 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ? = 450.271 + (369.422 ÷ 0.03) - (108.612 x 2.001)= 450 + 369/0.03 - (109 x 2) = 450 + 12300 - 218 = 12532
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