Fractions and Decimals [(3.537 - .948)² + (3.537 + .948)²] / [(3.537)² + (.948)²] = ? 3 0 2 1 3 0 2 1 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Given expression = [(3.537 - .948)² + (3.537 + .948)²] / [(3.537)² + (.948)²] = [(a - b)² + (a + b)²] / (a²+ b²) (Where a = 3.537 and b = 0.948)= 2(a² +b²) / (a² +b²) = 2
Fractions and Decimals (0.16)² - (0.12)² = ? 11.2 1.12 0.0112 .112 11.2 1.12 0.0112 .112 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 Which of the following fraction is the smallest ? 5/7 3/7 9/11 11/13 5/7 3/7 9/11 11/13 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 11/3 = 0.846,9/11 = 0.818,3/4 = 0.75 and 5/7 = 0.714Clearly, 0.714 is the smallest and hence 5/7 is smallest fraction .
Fractions and Decimals (44.99)² - (15.01)² = ? 1100 1800 1500 700 1100 1800 1500 700 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 By how much does 7/(8/9) exceeds (7/8)/9 ? 5 7/9 8 7/9 7 7/9 6 7/9 5 7/9 8 7/9 7 7/9 6 7/9 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Here, we have to find the value of 7/(8/9) - (7/8)/9.(7 x 9/8) - [(7/(8 x 9)]63/8 - 7/72[(63 x 9) - 7] / 72567 - 7/72 = 560/72 = 70/9 = 7 7/9.Hence, 7/(8/9) is greater than (7/8)/9 by 7 7/9.
Fractions and Decimals If 2994 ÷ 14.5 = 172, then 29.94 ÷ 1.45 = ? None of these 17.2 1.72 172 None of these 17.2 1.72 172 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
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