Fractions and Decimals [ .6 x .6 x .6 x .4 x .4 x .4 + 3 x .6 x .4 x (.6 + .4 )] = ? 4 2 3 1 4 2 3 1 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 10.5 kg 100.5 kg 1000.5 kg 1.5 kg 10.5 kg 100.5 kg 1000.5 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 If 12276 / 155 = 79.2 the value of 122.76 / 15.5 is ? 0.792 79.2 792 7.92 0.792 79.2 792 7.92 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 122.76 / 15.50 = 12276/1550= (12276 / 155) x (1/10) = 79.2 / 10 = 7.92
Fractions and Decimals 450.271 + 369.422 ÷ 0.03 - 108.612 x 2.001 = ? 15532 13532 12532 14532 15532 13532 12532 14532 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ? = 450.271 + (369.422 ÷ 0.03) - (108.612 x 2.001)= 450 + 369/0.03 - (109 x 2) = 450 + 12300 - 218 = 12532
Fractions and Decimals 0.9 x 0.008=? 0.72 0.072 0.00072 None of these 0.72 0.072 0.00072 None of these ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ∵ 9 x 8=72∴ 0.09 x 0.008 = 0.00072 (Five place of decimal )
Fractions and Decimals The number 0.127 is how much greater than 1/8 ? 1/1000 1/300 1/800 1/500 1/1000 1/300 1/800 1/500 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 0.127 expressed as a fraction = 127/10001/8 can also be expressed as (1 x 125) / (8 x 125) = 125/1000The difference is 2/1000, which is 1/500