Fractions and Decimals [ .6 x .6 x .6 x .4 x .4 x .4 + 3 x .6 x .4 x (.6 + .4 )] = ? 2 1 3 4 2 1 3 4 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 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 100.5 kg 10.5 kg 1.5 kg 1000.5 kg 100.5 kg 10.5 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
Fractions and Decimals 9.724 ÷ 100 = ? 0.09724 9.724 0.9724 None of these 0.09724 9.724 0.9724 None of these ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 9.724 ÷ 100 = 0.09724Shift decimal two palaces to the left. i.e 100
Fractions and Decimals Out of the fractions 4/7, 5/13, 6/11, 3/5 and 2/3 which is the second smallest fraction ? 6/11 4/7 5/13 3/5 6/11 4/7 5/13 3/5 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 4/7 = 0.57, 5/13 = 0.38, 6/11 = 0.54, 3/5 = 0.6 and 2/3 = 0.67Clearly, the second smallest fraction is 6/11
Fractions and Decimals (.24 x .35 ) / (.14 x .15 x .02) is equal to ? 188 200 182 176 188 200 182 176 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP (.24 x .35) / (.14 x .15 x .02)= (24 x 35 x 100 ) / (14 x 15 x 2)=200
Fractions and Decimals Which of the following fraction is arranged in ascending order of their value? 1/4, 2/7, 3/4, 4/7, 5/7, 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, 4/7, 5/7, 3/4, 6/5 1/4, 2/7, 3/4, 4/7, 5/7, 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, 4/7, 5/7, 3/4, 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
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