Fractions and Decimals (0.29)2 - (0.01)2/0.3 = ? 0.28 0.34 0.30 0.32 0.28 0.34 0.30 0.32 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP a² - b² = (a + b)(a - b)Hence,(0.29)² - (0.01)²/0.3 = (0.29 + 0.01)(0.29 - 0.01)/0.3= (0.3 x 0.28)/0.3 = 0.28
Fractions and Decimals (44.99)² - (15.01)² = ? 1800 700 1100 1500 1800 700 1100 1500 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 Find the value of 1/3 + 1/15 + 1/35 + 1/63 + 1/99 . 10/11 5/11 9/11 7/11 10/11 5/11 9/11 7/11 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 1/3 + 1/15 + 1/35 + 1/63 + 1/99= [1/3 + 1/15] + 1/35 + 1/63 + 1/99 = [6/15 + 1/35] + 1/63 + 1/99= 45/105 + 1/63 + 1/99 = [3/7 + 1/63] + 1/99= 28/63 + 1/99 = 4/9 + 1/99= 44 + 1/99 = 45/99 = 5/11
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 ? 13/45 16/45 19/45 None of these 13/45 16/45 19/45 None of these 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 A person was asked to state his age in years. His reply was , "Take my age 3 years hence, multiply it by 3 and subtract 3 times my age 3 years ago and you will know how old I am." What was the age of 19 16 18 17 19 16 18 17 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the present age of person be x years.Then, 3(x + 3) - 3(x - 3 ) = x <=> (3x + 9) - (3x - 9) = x <=> x = 18
Fractions and Decimals Find the value of 2 x [(3.6 x 0.48 x 2.50) / (0.12 x 0.09 x 0.5)] 1400 1200 1600 800 1400 1200 1600 800 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 2 x [(3.6 x 0.48 x 2.50) / (0.12 x 0.09 x 0.5)]= 2 x [(36 x 48 x 250) / (12 x 9 x 5)]= 2 x 4 x 4 x 50 = 1600