Fractions and Decimals 6 x 0.6 x 0.06 x 0.006 x 60 = ? 77.76 0.07776 7.776 0.7776 77.76 0.07776 7.776 0.7776 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ? = 6 x 6/10 x 6/100 x 6/1000 x 60 = 77760/1000000 = 7776/100000 = 0.07776
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 ? 10.5 kg 1000.5 kg 1.5 kg 100.5 kg 10.5 kg 1000.5 kg 1.5 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
Fractions and Decimals Two times of the third of three consecutive even integers is three times of the first. Then the second integer is 10 1 4 7 10 1 4 7 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the consecutive three integers be X, X + 2 and X + 4Then, 2(X + 4) = 3XX = 8Now X + 2 = 10The required second integer is 10
Fractions and Decimals 0.15 / (0.5 / 15) = ? 40.5 4.5 400.5 None of these 40.5 4.5 400.5 None of these ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let Y = 0.15 / (0.5 / 15) = (15/100) / [(5/100) / 15) = 4.5
Fractions and Decimals If the numerator of a fraction is increased by 2 and denominator is increased by 3, the faction becomes 7/9 and if numerator as well as denominator are decreased by 1, the fraction becomes 4/5. What i 5/4 5/10 5/8 5/6 5/4 5/10 5/8 5/6 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the numerator and denominator be p and q respectively.Then, (p + 2) / (q + 3) = 7/9⇒ 9(p + 2) = 7(q +3)⇒ 9p - 7q = 3 ....(i)Again, (p - 1) / (q - 1) = 4/5⇒ 5p - 4q = 1 ....(ii)Solving (i) and (ii) we get,p = 5, q = 6Required fraction = 5/6
Fractions and Decimals 0.0169 / 0.013=? 13/10 130/10 1300/10 None of these 13/10 130/10 1300/10 None of these ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 0.0169 / 0.0130 = 169 / 130 = 13 / 10