Fractions and Decimals (3.65 x 3.65 + 2.35 x 2.35 - 2 x 2.35 x 3.65) / 1.69 = ? 3 2 1 4 3 2 1 4 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Given expression=[(3.65)² + (2.35)² -2 x 3.65 x 2.35 ] / 1.69=a² + b² - 2ab / 1.69, Where a = 3.65 and b = 2.35=(a - b)² / 1.69 = (3.65 - 2.35)² / 1.69 = (1.3)² / 1.69 = 1.69 / 1.69 = 1
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 4 1 10 7 4 1 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 Which of the following fractions is greater than 3 /4 and less than 5 / 6 ? 5/6 1/2 4/5 3/4 5/6 1/2 4/5 3/4 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 The value of [(0.96)³- (0.1)³] / [(0.96)² + 0.096 + (0.1)²] is : 0.46 0.56 0.36 0.86 0.46 0.56 0.36 0.86 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Given expression=[(0.96)³ - (0.1)³] / [(0.96)² + (0.96 x 0.1) + (0.1)²]= [(a³ - b³) / (a² + ab + b²)] = (a - b)= (0.96 - 0.1)= 0.86
Fractions and Decimals The greatest fraction out of 2/5, 5/6, 11/12 and 7/8 is ? 7/8 2/5 11/12 5/6 7/8 2/5 11/12 5/6 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 2/5 = 0.4 , 5/6 = 0.833, 11/12 = 0.916 and 7/8 = 0.875Clearly, the greatest fraction is 0.916, i, e . 11/12.
Fractions and Decimals When .36 is written in simplest fractional form, the sum of the numerator and the denominator is : 34 23 37 29 34 23 37 29 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 0.36 = 36 / 100 = 9 / 25. Sum of Numerator and Denominator = 9 + 25 = 34.
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