Fractions and Decimals (44.99)² - (15.01)² = ? 700 1500 1800 1100 700 1500 1800 1100 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP a² - b² = (a + b)(a - b)Hence, (44.99)² - (15.01)² = (44.99 + 15.01)(44.99 - 15.01)= 60 x 29.98 = 60 x 30 = 1800
Fractions and Decimals A boy on being asked 13/14 of a certain fraction had made the mistake of dividing the fraction by 14/13 and so got an answer that exceeded the correct answer by 3/65. The correct fraction is ? 16/45 13/45 None of these 19/45 16/45 13/45 None of these 19/45 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the fraction be N.Then, N / (13/14) - (13/14) x N = 3/65⇒ 14N/13 - 13N/14 = 3/65⇒ (196N - 169N)/182 = 3/65⇒ 27N/182 = 3/65∴ N = (3 x 182) / (27 x 65) = 14/45So, correct answer will be (13/14) x (14/45) = 13/45
Fractions and Decimals By how much is 12% of 24.2 more than 10% of 14.2 ? 1.884 1.484 1.284 1.684 1.884 1.484 1.284 1.684 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Required difference = (12 x 24.2) / 100 - (10 x 14.2) / 100= 2.904 -1.42 = 1.484
Fractions and Decimals ? % of 10.8 =32.4 500 600 300 100 500 600 300 100 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let k % of 10.8=32.4 ⇒ (k x 10.8) / 100 = 32.4⇒ k = (32.4 x 100 )/10.8 = 300
Fractions and Decimals When 52416 divided by 312 , the quotient is 168. What will be the quotient when 52.416 is divided by 0.0168 ? 31200 312000 3120 312 31200 312000 3120 312 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Given, 52416 / 312 = 168.<=> 52416 / 168 = 312.52.416 / 0.0168 = 524160 / 168 = 3120.
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 2/7 3/7 1/7 4/7 2/7 3/7 1/7 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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