Number System If x + y = 61 and xy = 888, What is the value of x²+ y² ? 1945 1975 1955 1965 1945 1975 1955 1965 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Because (x + y)² = x² + y² + 2xy∴ x² + y² = (x + y)² - 2xy∴ x² + y² = (61)² - 2 x 888= 3721 - 1776 = 1945
Number System If the fractions 1/7, 3/5, 2/5, 5/6 and 9/11 are arranged in descending order of their values, which one will be the fourth number? 4/5 2/5 3/5 1/5 4/5 2/5 3/5 1/5 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 1/4 = 14. 3/5 = 6.2/5 = 4.5/6 = 83.9/11 = 82.Therefore, 83 > 82 > 6 > 14
Number System Sum of the digits number is 8 and their product is 12. Find the difference between the digits? 6 None 2 4 6 None 2 4 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x + y = 8xy = 12(x – y)2 = (x + y)2 – 4xy (x – y)2 = 64 – 48 => (x – y) = 4
Number System What is the greater of the two numbers whose product is 2560, given that the sum of the two numbers exceeds their difference by 64? 100 None of these 90 110 100 None of these 90 110 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the greater and the smaller number be g and s respectively.gs = 2560g + s exceeds g - s by 64 i.e., g + s - (g - s) = 64i.e., 2s = 64 => s = 32.g = 2560/s = 80.
Number System What is the value of ? in the following equations ? 72/? = ?/50 40 100 80 60 40 100 80 60 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP (?)² = 72 x 50= (6 x 6 x 2) x (5 x 5 x 2)= (6 x 5 x 2)² = (60)²∴ ? = 60
Number System 3√103820 x 3√274620 = ? 3065 3055 3035 3045 3065 3055 3035 3045 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 3√103820 = 47 and 3√274620 = 65 ∴ ? = 47 x 65 = 3055
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