Fractions and Decimals (10.3 * 10.3 * 10.3 + 1)/(10.3 * 10.3 - 10.3 + 1) is : None of these 1.3 111.3 11.3 None of these 1.3 111.3 11.3 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 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. 5 2/3 9 2/3 7 2/3 2 2/3 5 2/3 9 2/3 7 2/3 2 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 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 ? None of these 1/16 3/20 5/12 None of these 1/16 3/20 5/12 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 (0.29)2 - (0.01)2/0.3 = ? 0.28 0.32 0.30 0.34 0.28 0.32 0.30 0.34 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 What will come in place of question mark in the following equation ? 54.(?)3 + 543 + 5.43 = 603.26 5 3 8 7 5 3 8 7 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let x + 543 + 5.43 = 603.26.Then, x = 603.26 - (543 + 5.43) = 603.26 - 548.43 =54.83Missing digit = 8.
Fractions and Decimals The expression (11.98 x 11.98 + 11.98 x x + 0.02 x 0.02) will be a perfect square for x equal to: 0.00004 0.04 0.0004 0.004 0.00004 0.04 0.0004 0.004 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Given expression = (11.98)² + (0.02)² + 11.98 x x.For the given expression to be a perfect square, we must have11.98 x x = 2 x 11.98 x 0.02 or x = 0.04
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