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) = ? 0 3 2 1 0 3 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 Find the integer which when decreased by 2 is 80 times the reciprocal of the same number 10 12 13 11 10 12 13 11 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be X Decreasing 2 from XX - 2 = 80 x (1/X)X^2 - 2X = 80X^2 -2x -80 = 0(X-10)(X+8) = 0x=10,-8X has two values, but among the given options X value should be 10
Fractions and Decimals 5 x 0.25 x 6.301 x 0.00394=? 3.10324250 31.0324250 0.0310324250 0.310324250 3.10324250 31.0324250 0.0310324250 0.310324250 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Here 5 x 25 x 6301 x 394=310324250Total decimal places = (2+3+5) = 10 ∴ 5 x 0.25 x 6.301 x 0.00394 = 0.0310324250
Fractions and Decimals Which of the following fractions is greater than 3 /4 and less than 5 / 6 ? 4/5 3/4 1/2 5/6 4/5 3/4 1/2 5/6 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 3 /4 = 0.75, 5/6 = 0.833,1/2 = .5,2/3 = 0.66, 4/5 = 0.8,9/10 = 0.9.clearly 0.8 lies between 0.75 and .833.4/5 lies between 3/4 and 5/6.
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) = ? 14 0.14 0.014 1.4 14 0.14 0.014 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 16.001 x 11.999 x 99.989 x 0.9 = ? 17280 20924 19347 18764 17280 20924 19347 18764 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ? = 16 x 12 x 100 x 0.9 ? = 17280
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