Fractions and Decimals (44.99)² - (15.01)² = ? 1100 700 1800 1500 1100 700 1800 1500 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP a² - b² = (a + b)(a - b)Hence, (44.99)² - (15.01)² = (44.99 + 15.01)(44.99 - 15.01)= 60 x 29.98 = 60 x 30 = 1800
Fractions and Decimals If 1.5x = 0.04y, then the value of ( (y - x) / (y+x) ) is : 71/74 65/67 73/77 61/63 71/74 65/67 73/77 61/63 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x / y = 0.04 / 1.5 = 4 / 150 = 2 / 75.= > ( (y - x) / (y+x) ) = (1 - (x / y)) / ( 1 + ( x / y)) = (1 - 2/75) / (1 + 2/75) = 73/77.
Fractions and Decimals Arrange the fractions in ascending order: 3/4, 5/8, 7/12, 13/16 5/8 < 3/4 < 13/16 < 7/12 5/8 < 7/12 < 13/16 < 3/ 7/12 < 5/8 < 3/4 < 13/16 5/8 < 7/12 < 3/4 < 13/16 5/8 < 3/4 < 13/16 < 7/12 5/8 < 7/12 < 13/16 < 3/ 7/12 < 5/8 < 3/4 < 13/16 5/8 < 7/12 < 3/4 < 13/16 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 5/8 = .625,7/12 = .5833, 3/4 = .75,13/16 = .8125So order will be 7/12 < 5/8 < 3/4 < 13/16
Fractions and Decimals Two times of the third of three consecutive even integers is three times of the first. Then the second integer is 7 4 1 10 7 4 1 10 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 If 2994 ÷ 14.5 = 172, then 29.94 ÷ 1.45 = ? None of these 172 17.2 1.72 None of these 172 17.2 1.72 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 29.94 / 1.45 = 299.4 / 14.5 = [(2994 /14.5) x (1 / 10)] [ Here, Substitute 172 in the place of 2994/14.5 ]=172 / 10= 17.2
Fractions and Decimals ( 0.5 x 0.5 x 0.5 x 0.6 x 0.6 x 0.6 ) / ( 0.5 x 0.5 - 0.3 + 0.6 x 0.6 ) = ? 11 111.1 11.1 1.1 11 111.1 11.1 1.1 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Given expression = [(0.5)³ + (0.6)³ ] / [(0.5)² - 0.5 x 0.6 + (0.6)²]= (a³+b³) / ( a²-ab+b²)= a + b= 0.5 + 0.6= 1.1
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