Fractions and Decimals [ .6 x .6 x .6 x .4 x .4 x .4 + 3 x .6 x .4 x (.6 + .4 )] = ? 3 1 4 2 3 1 4 2 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Given expression =(.6)³ + (.4) ³ + 3 x .6 x .4 x (.6 + .4)= a³ + b³ + 3ab (a+b) = (a+b)³= (.6 + .4)³ = 1³ = 1
Fractions and Decimals Find the value of 2 x [(3.6 x 0.48 x 2.50) / (0.12 x 0.09 x 0.5)] 1200 1400 800 1600 1200 1400 800 1600 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 2 x [(3.6 x 0.48 x 2.50) / (0.12 x 0.09 x 0.5)]= 2 x [(36 x 48 x 250) / (12 x 9 x 5)]= 2 x 4 x 4 x 50 = 1600
Fractions and Decimals When 0.232323.... is converted into a fraction , then the result is 24/99 25/99 26/99 23/99 24/99 25/99 26/99 23/99 ANSWER DOWNLOAD EXAMIANS APP
Fractions and Decimals Which of the following fraction is arranged in ascending order of their value? 2/7, 1/4, 4/7, 5/7, 3/4, 6/5 1/4, 2/7, 3/4, 4/7, 5/7, 6/5 1/4, 2/7, 4/7, 5/7, 3/4, 6/5 2/7, 1/4, 4/7, 3/4, 5/7, 6/5 2/7, 1/4, 4/7, 5/7, 3/4, 6/5 1/4, 2/7, 3/4, 4/7, 5/7, 6/5 1/4, 2/7, 4/7, 5/7, 3/4, 6/5 2/7, 1/4, 4/7, 3/4, 5/7, 6/5 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Converting the given fractions into decimal numbers, we have1/4 = 0.252/7 = 0.283/4 = 0.754/7 = 0.575/7 = 0.716/5 = 1.2So, 0.25 < 0.28 < 0.57 < 0.71 < 0.75 < 1.2Corresponding fraction is 1/4 < 2/7 < 4/7 < 5/7 < 3/4 < 6/5
Fractions and Decimals Which of the following fraction is the smallest ? 9/11 5/7 11/13 3/7 9/11 5/7 11/13 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 A vessel, full of water, weighs 16.5 kg. When the vessel is (1/4)th full, it weight 5.25 kg. Then, weight of the empty vessel (in kg) is ? 1.5 kg 1000.5 kg 10.5 kg 100.5 kg 1.5 kg 1000.5 kg 10.5 kg 100.5 kg ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the weight of vesel = x kg Then, 1/4 of volume of water = (5.25 - x)kg Full volume of water = (16.5 - x)∴ 4(5.25 - x) = (16.5 - x)⇒ 21 - 4x = 16.5 - x ⇒ 21 - 16.5 = 3x ∴ x = 4.5/3 = 1.5 kg
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