Fractions and Decimals Which of the following fractions is greater than 3/4 and less than 5/6? 1/2 9/10 2/3 4/5 1/2 9/10 2/3 4/5 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 3/4 = 0.75, 5/6= 0.833, 1/2= 0.5, 2/3= 0.66,4/5= 0.8, 9/10= 0.9. Clearly, 0.8 lies between 0.75 and 0.833.4/5 lies between 3/4 and 5/6.
Fractions and Decimals (.58 x .58 x .58 - .42 x .42 x .42 - 3 x .58 x .42 x .16) = ? 0.4096 0.04096 0.004096 4.096 0.4096 0.04096 0.004096 4.096 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Given Expression = (.53)³ - (.42)³- 3 x .58 x .42 x (.58-.42)= a³-b³ -3ab(a - b) = (a - b)³(where a = .58 and b=.42)= (.58 - .42 )³ = .16 x .16 x .16 = 0.004096
Fractions and Decimals (3.65 x 3.65 + 2.35 x 2.35 - 2 x 2.35 x 3.65) / 1.69 = ? 4 3 2 1 4 3 2 1 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 Find the sum 3/10 + 5/100 + 8/1000 in decimal form ? 3.58 35.8 0.358 None of these 3.58 35.8 0.358 None of these ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 3/10 + 5/100 + 8/1000= 0.3 + 0.05 + 0.008 = 0.358
Fractions and Decimals Which of the following fraction is the smallest ? 5/7 11/13 9/11 3/7 5/7 11/13 9/11 3/7 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 If √0.05 x 0.5 x a = 0.5 x 0.05 x √b, then a/b = ? 25 .025 .0025 .00025 25 .025 .0025 .00025 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Given expression = √0.5 x .5 x a = .5 x .05 x √ b⇒ √.025 x a = 0.25 x ⇒ b⇒ 0.025a = 0.25 x .025 x b∴ a/b = (.025 x .025) /.025 = .025
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