Number System The product of two consecutive odd numbers is 4095 What is the greater number ? 74 65 61 69 74 65 61 69 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the two consecutive odd numbers be 2x - 1 and 2x + 1.(2x - 1) (2x - 1) = 4095= 4x² - 1 = 4095= 4x² = 4096= x² = 1024∴ x = 32∴ The numbers are 63 and 65.Greater number = 65
Number System The sum of two numbers is 22. Five times one number is equal to 6 times the other. The bigger of the two numbers is: 12 15 16 10 12 15 16 10 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the numbers be x and (22 - x). Then,5x = 6(22 - x) 11x = 132 => x = 12So, the numbers are 12 and 10.
Number System If x + y = 61 and xy = 888, What is the value of x²+ y² ? 1965 1975 1955 1945 1965 1975 1955 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 When 732 is subtracted form the square of a number, the answer that is obtained is 5280. What is the number? 101 103 97 99 101 103 97 99 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x2 - 732 = 5280 x2 = 5280 + (70+3)2 = 5280 + 4900 + 420 + 9 = 10609= 10000 + 2(100)(3) + 32 = (100 + 3)2x = 100 + 3 = 103.
Number System If a + b = 16 and ab = 68, what is the value of a² + b² ? 112 116 120 124 112 116 120 124 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP a + b = 16 Therefore, (a+b)² = (16)² = 256 a² + b² + 2ab = 256Therefore, a² + b² = 256 - 2 x 68Therefore, a² + b² = 256 - 136 = 120
Number System √9216 + √15376 = ? 227 220 224 231 227 220 224 231 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ? = √9216 + √15376= 96 + 124= 220
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