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 Which number should replace question mark (?) in the following equation ? ?/342 = 38/? 118 112 116 114 118 112 116 114 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP (?)² = 342 x 38Therefore, ? = √342 x 38 = √38 x 9 x 38 = 38 x 3 = 114
Number System Thrice the square of a natural number decreased by 4 times the number is equal to 50 more than the number. The number is: 4 10 6 5 4 10 6 5 ANSWER DOWNLOAD EXAMIANS APP
Number System The sum of two numbers is 165 and the difference between them is 9. What is the average of these two numbers ? 83.5 84.5 82.5 85.5 83.5 84.5 82.5 85.5 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x + y = 165x - y = 92x = 174 ∴ x = 87 and y = 78∴ x + y/2 = 165/2 = 82.5
Number System The average of 7 consecutive even numbers A, B, C, D, E, F and G is 36. What is the product of ' C and 'E' ? 1327 1468 1168 1292 1327 1468 1168 1292 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP A + B + C + D + E + F + G/7 = 36Therefore, D = 36Therefore, C = 34, E = 38Therefore, Product = 34 x 38 = 1292
Number System The product of two consecutive odd numbers is 4623. What is the product of the next two consecutive odd numbers ? 5183 6782 8795 7745 5183 6782 8795 7745 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP √4623 = 6767 x 69 = 4623∴ Required product = 71 x 73 = 5183
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