Fractions and Decimals 999.99 + 25.012 = ? - 174.469 116 215 56 14 116 215 56 14 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ? = (999.99)/25.012 + 174.469 = (1000/25) + 174.469= (40 + 174.469) = 214.469 = 215
Fractions and Decimals What will be the vulgar fraction of 0.75 ? 3/4 1 1/4 2 3/4 1 1/4 2 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 0.75 = 75/100 = 3/4
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 0.014 14 1.4 0.14 0.014 14 1.4 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 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. 7 2/3 2 2/3 9 2/3 5 2/3 7 2/3 2 2/3 9 2/3 5 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 A boy on being asked 13/14 of a certain fraction had made the mistake of dividing the fraction by 14/13 and so got an answer that exceeded the correct answer by 3/65. The correct fraction is ? 13/45 16/45 19/45 None of these 13/45 16/45 19/45 None of these ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the fraction be N.Then, N / (13/14) - (13/14) x N = 3/65⇒ 14N/13 - 13N/14 = 3/65⇒ (196N - 169N)/182 = 3/65⇒ 27N/182 = 3/65∴ N = (3 x 182) / (27 x 65) = 14/45So, correct answer will be (13/14) x (14/45) = 13/45
Fractions and Decimals (0.29)2 - (0.01)2/0.3 = ? 0.30 0.32 0.28 0.34 0.30 0.32 0.28 0.34 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
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