Fractions and Decimals (44.99)² - (15.01)² = ? 1500 1100 700 1800 1500 1100 700 1800 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 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: 0.0004 0.004 0.00004 0.04 0.0004 0.004 0.00004 0.04 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
Fractions and Decimals Evaluate : [(2.39)² - (1.61)²] / [2.39 - 1.61] 2 3 4 6 2 3 4 6 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Given Expression=(a² - b²) / (a - b)=[(a + b)(a - b)] / (a - b)= (a + b)= (2.39 + 1.61)= 4
Fractions and Decimals Which of the following fraction is the smallest ? 3/7 11/13 5/7 9/11 3/7 11/13 5/7 9/11 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 11/3 = 0.846,9/11 = 0.818,3/4 = 0.75 and 5/7 = 0.714Clearly, 0.714 is the smallest and hence 5/7 is smallest fraction .
Fractions and Decimals Two times of the third of three consecutive even integers is three times of the first. Then the second integer is 7 10 1 4 7 10 1 4 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the consecutive three integers be X, X + 2 and X + 4Then, 2(X + 4) = 3XX = 8Now X + 2 = 10The required second integer is 10
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 5/12 3/20 1/16 None of these 5/12 3/20 1/16 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
EXAMIANS