Fractions and Decimals 3889 + 12.952 - ? = 3854.002 4795 4.795 479.5 47.95 4795 4.795 479.5 47.95 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let 3889 + 12.952 - x = 3854.002.Then x = (3889 + 12.952) - 3854.002 = 3901.952 - 3854.002 = 47.95.
Fractions and Decimals If a fraction is multiplied by itself and then divided by the reciprocal of the same fraction, the result is 18 26/27. Find the fraction. 9 2/3 2 2/3 5 2/3 7 2/3 9 2/3 2 2/3 5 2/3 7 2/3 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP If the required fraction be P According to the question (P x P) / (1/P) = 18 26/27⇒ P³ = 512/27∴ P = 8/3 = 2 2/3
Fractions and Decimals The expression (11.98 * 11.98 + 11.98 * (x) + 0.02 * 0.02) will be a perfect square for x equal to : 0.04 4 None of these 0.4 0.04 4 None of these 0.4 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Given = (11.98)^2 + (0.02)^2 + 11.98 * x. For the given expression to be a perfect square, we must have11.98 * x = 2 * 11.98 * 0.02=> x = 0.04
Fractions and Decimals Out of the fractions 5/7, 7/13, 4/7, 4/15 and 9/14, which is the third highest? 4/15 4/7 5/7 7/13 4/15 4/7 5/7 7/13 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 5/7 = 0.71, 7/13 = 0.54, 4/7 = 0.57, 4/15 = 0.27, 9/14 = 0.64Clearly, 4/7 is the third highest 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 ? 1000.5 kg 100.5 kg 1.5 kg 10.5 kg 1000.5 kg 100.5 kg 1.5 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 If the numerator of a fraction is increased by 2 and the denominator is increased by 1, the fraction because 5/8 and if the numerator of the same fraction is increased by 3 and the denominator is incr 4/7 3/7 1/7 2/7 4/7 3/7 1/7 2/7 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the original fraction be p/q Then, (p + 2) / (q + 1) = 5/8⇒ 8p - 5q = 11 .....(i)Again (p + 3) / (q + 1) = 3/4⇒ 4p - 3q = 9 ...(ii)Solving equations , (i) and (ii), we get ,p = 3 and q = 7∴ Fraction = 3/7
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