Fractions and Decimals [ .6 x .6 x .6 x .4 x .4 x .4 + 3 x .6 x .4 x (.6 + .4 )] = ? 4 1 2 3 4 1 2 3 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Given expression =(.6)³ + (.4) ³ + 3 x .6 x .4 x (.6 + .4)= a³ + b³ + 3ab (a+b) = (a+b)³= (.6 + .4)³ = 1³ = 1
Fractions and Decimals The value of 47 / 10000 is ? 0.047 0.47 0.0047 0.00047 0.047 0.47 0.0047 0.00047 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 47/10000 = .0047
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 ? None of these 13/45 19/45 16/45 None of these 13/45 19/45 16/45 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 9.75 x 9.75 - 2 x 9.75 x 5.75 + 5.75 x 5.75 = ? 18 15 16 17 18 15 16 17 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Given expression = a² -2ab + b² Where a =9.75 and b=5.75= (a-b)² = (9.75 - 5.75)² = 4²=16
Fractions and Decimals (0.16)² - (0.12)² = ? 1.12 0.0112 .112 11.2 1.12 0.0112 .112 11.2 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 When 0.232323.... is converted into a fraction , then the result is 25/99 23/99 26/99 24/99 25/99 23/99 26/99 24/99 ANSWER DOWNLOAD EXAMIANS APP
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