Fractions and Decimals (10.3 * 10.3 * 10.3 + 1)/(10.3 * 10.3 - 10.3 + 1) is : None of these 11.3 111.3 1.3 None of these 11.3 111.3 1.3 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP a^3 + b^3 = (a+ b) * (a^2 + b^2 - ab)..( (10.3)^3 + (1)^3 ) / ((10.3)^2 + (1)^2 - (1 * 10.3))=> a + b = 10.3 + 1 = 11.3
Fractions and Decimals The rational number for recurring decimal 0.125125.... is: 125/1000 125/999 125/100 125/99 125/1000 125/999 125/100 125/99 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP _0.125125... = 0.125 =125/999
Fractions and Decimals (0.16)² - (0.12)² = ? 0.0112 .112 1.12 11.2 0.0112 .112 1.12 11.2 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ? = a² - b² = (a + b)(a - b)Hence, (0.16)² - (0.12)²= (0.16 + 0.12)(0.16 - 0.12)= 0.28 x 0.04 = 0.0112
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 5/8 5/6 5/10 5/4 5/8 5/6 5/10 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 50.8 / 2540 = ? 0.0002 None of these 0.02 0.002 0.0002 None of these 0.02 0.002 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 50.8 / 2540 = 508 / 25400 = 2 / 100 = .02
Fractions and Decimals The fraction ( 101 * 27/100000 ) in decimal form is : 101.00027 10100.027. 101000.27 1010.0027 101.00027 10100.027. 101000.27 1010.0027 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 101 * 27 / 100000 = 101 + 27 / 100000 = 101 + .00027 = 101.00027.