Fractions and Decimals (0.29)2 - (0.01)2/0.3 = ? 0.34 0.30 0.32 0.28 0.34 0.30 0.32 0.28 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP a² - b² = (a + b)(a - b)Hence,(0.29)² - (0.01)²/0.3 = (0.29 + 0.01)(0.29 - 0.01)/0.3= (0.3 x 0.28)/0.3 = 0.28
Fractions and Decimals Two times of the third of three consecutive even integers is three times of the first. Then the second integer is 10 7 1 4 10 7 1 4 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the consecutive three integers be X, X + 2 and X + 4Then, 2(X + 4) = 3XX = 8Now X + 2 = 10The required second integer is 10
Fractions and Decimals 16.7 + 12.38 - ? =10.09 14.99 18.99 20.99 16.99 14.99 18.99 20.99 16.99 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let 16.7 + 12.38 - x =10.09∴ x = 16.7 + 12.38 - 10.09 = 18.99
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) = ? 1 2 3 0 1 2 3 0 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 What will be the value of (25.732)² - (15.732)² 414.64 418.64 416.64 420.64 414.64 418.64 416.64 420.64 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Can be easily solved with following formula= (25.732 - 15.732 ) x (25.732 + 15.732)=414.64
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) = ? 1.4 14 0.14 0.014 1.4 14 0.14 0.014 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
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