Number System The product of two consecutive odd numbers is 4095 What is the greater number ? 61 69 74 65 61 69 74 65 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 If (182)² is added to the square of a number, the answer so obtained is 47765. What is the number ? 111 101 131 121 111 101 131 121 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the no. be xTherefore x² + (182)² = 47765Therefore x² = 47765 - (182)2 = 47765 - 33124Therefore x² = 14641, Therefore x = 121
Number System The difference between 71% of a number and 46% and of the same number is 212. What is 75% of that number 724 845 636 673 724 845 636 673 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x.∴ 71% of x - 46% of x = 212∴ (71 - 46)% of x = 212∴ 25/100 x x = 212∴ x = 212 x 4 = 848∴ 75% of 848 = 848 x 75/100 = 636
Number System The difference between 45% of a number and 18% of the same number is 145.8. What is 30% of that number ? 245 141 162 188 245 141 162 188 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x.45% of x - 18% of x = 145.8∴ x/100 (45 - 18) = 145.8∴ x = 145.8 x 100/27 = 540∴ 30% of 540 = 540 x 30/100 = 162
Number System What is the average of the following set of numbers ? 173, 192, 198, 204, 211, 223, 227 234 204 210 222 234 204 210 222 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Avg = 173 + 192 + 198 + 204 + 211 + 223 + 227/7 = 1428/7 = 204
Number System The difference between two integers is 5. Their product is 500. Find the numbers. 15, 20 20, 25 30, 25 21, 26 15, 20 20, 25 30, 25 21, 26 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the integers be x and (x + 5). Then, x(x + 5) = 500 x2 + 5x - 500 = 0 (x + 25)(x - 20) = 0 x = 20So, the numbers are 20 and 25.
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