Number System I. 3x2-14x + 8 = 0 II. 2y2 - 1 7 y + 36 = 0 if x <= y if x >= y if x > y if x < y if x <= y if x >= y if x > y if x < y ANSWER EXPLANATION DOWNLOAD EXAMIANS APP l. 3x2 - 12x - 2x + 8 = 0or 3x(x - 4) -2 (x -4) = 0∴ x = 4, 2/3ll. 2y2 - 8y - 9y + 36 = 0or 2y (y - 4) -9 (y - 4) = 0or (2y - 9) (y - 4) = 0∴ y = 4, 9/2
Number System The difference between a number and its three-fifth is 50. What is the number? 125 100 75 None of these 125 100 75 None of these ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x - 3/5 x = 50 => 2/5 x = 50x = (50 * 5)/2 = 125.
Number System If x + y = 61 and xy = 888, What is the value of x²+ y² ? 1955 1975 1965 1945 1955 1975 1965 1945 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 sum of three consecutive even numbers is 252. What is the sum of the smallest and the largest numbers? 170 168 171 169 170 168 171 169 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 168
Number System Complete the series : 81, 69, 58, 48, 39 ........ 29 31 30 28 29 31 30 28 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 31
Number System Sum of the digits number is 8 and their product is 12. Find the difference between the digits? 2 6 None 4 2 6 None 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
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