Fractions and Decimals If 3 is added to the denominator of a fraction, it becomes 1/3 and if 4 be added to its numerator, It becomes 3/4, then fraction is ? 1/16 5/12 3/20 None of these 1/16 5/12 3/20 None of these ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the required fraction be p/q∵ p / (q + 3) = 1/3⇒ 3p - q = 3 ...(i)and, (p + 4) / q = 3/4 ⇒ 4p - 3q = -16 ...(ii)Solving these equations, we get p = 5, q = 12∴ Required fraction = 5/12
Fractions and Decimals (10.3 * 10.3 * 10.3 + 1)/(10.3 * 10.3 - 10.3 + 1) is : 111.3 None of these 11.3 1.3 111.3 None of these 11.3 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 What decimal fraction is 40 ml of a litre ? .04 .004 .0004 4 .04 .004 .0004 4 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Required fraction = 40/1000= 4/100 = .04
Fractions and Decimals 9.75 x 9.75 - 2 x 9.75 x 5.75 + 5.75 x 5.75 = ? 18 15 17 16 18 15 17 16 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Given expression = a² -2ab + b² Where a =9.75 and b=5.75= (a-b)² = (9.75 - 5.75)² = 4²=16
Fractions and Decimals Correct expression of 6.46 is 646/99 646/9999 646/999 646/9 646/99 646/9999 646/999 646/9 ANSWER DOWNLOAD EXAMIANS APP
Fractions and Decimals (0.29)2 - (0.01)2/0.3 = ? 0.32 0.34 0.28 0.30 0.32 0.34 0.28 0.30 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
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