Number System 7.8 x 4.5 x 4.2/0.14 = ? 1032 1053 1012 1087 1032 1053 1012 1087 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 7.8 x 4.5 x 4.2/0.14 = 1053
Number System Sum of the digits number is 8 and their product is 12. Find the difference between the digits? 4 None 2 6 4 None 2 6 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 If x + y = 61 and xy = 888, What is the value of x²+ y² ? 1945 1965 1975 1955 1945 1965 1975 1955 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 The difference between a positive proper fraction and its reciprocal is 9/20. The fraction is: 5/4 3/5 3/10 4/5 5/4 3/5 3/10 4/5 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 1/x - x = 9/20 20x2 + 9x - 20 = 0 20x2 + 25x - 16x - 20 = 0 5x(4x + 5) -4(4x + 5) = 0(4x + 5)(5x - 4) = 0x = 4/5
Number System {3√4913}² = ? 289 333 225 121 289 333 225 121 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ? = (3√4913)² = (17)² = 289
Number System The difference between a two-digit number and the number obtained by interchanging the digits is 36. What is the difference of the two digits of the number ? 4 2 3 1 4 2 3 1 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP (10x + y) - (10y + x) = 36,9(x - y) = 36/9 = 4
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