Number System The product of two consecutive odd numbers is 4095 What is the greater number ? 61 65 69 74 61 65 69 74 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 the three fourth of a number is subtracted from the number; the value so, obtained is 163. What is that number ? 678 652 692 689 678 652 692 689 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Number x (1 - 3/4) = 163∴ Number = 163 x 4 = 652
Number System If a number is subtracted from its square we get 272. Find the number? 22 24 14 17 22 24 14 17 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x2 – x = 272 => x =17
Number System A certain number when divided by 45 leaves a remainder 31, what is the remainder if the same number be divided by 15? 11 9 1 13 11 9 1 13 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 45 + 31 = 76/15 = 1 (Remainder)
Number System A number when multiplied by five times of itself give the value equal to 1445. What is the number ? 17 18 15 16 17 18 15 16 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x x 5x = 1445= 5x² = 1445= x² = 289∴ x = 17
Number System If the sum and difference of two numbers are 20 and 8 respectively, then the difference of their square is: 160 28 180 12 160 28 180 12 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the numbers be x and y. Then, x + y = 20 and x - y = 8x2 - y2 = (x + y)(x - y) = 20 * 8 = 160.
EXAMIANS