Number System On dividing number by 5, we get 3 as remainder. What will be the remainder when the square of this number is divided by 5? 2 4 0 1 2 4 0 1 ANSWER DOWNLOAD EXAMIANS APP
Number System When the square of a number is substracted from (68)², the answer so obtained is 2508. What is the number ? 44 46 45 47 44 46 45 47 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP (68)² - x² = 2508Therefore, x² = 4624 = 2508Therefore, x = root of 2116 = 46
Number System If the sum of the two numbers is 22 and the sum of their squares is 404, then the product of the numbers is: 44 80 88 40 44 80 88 40 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the numbers be x and y. Then, (x + y) = 22 and x2 + y2 = 404 Now, 2xy = (x + y)2 - (x2 + y2) 2xy= 222 - 404 = 484 - 404 = 80xy = 40
Number System What value should come in place of ? in the given number series ? 15, 51, 162, 498, 1509, ? 5656 7878 4545 3434 5656 7878 4545 3434 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 15, (15 + 2) x 3 = 51,(51 + 3) x 3 = 162, (162 + 4) x 3 = 498, (498 + 5) x 3 = 1509(1509 + 6) x 3 = 4545
Number System The difference between 8% of a number and 3% of the same number is 39. What is 2.8% of that number ? 27.84 25.84 24.84 21.84 27.84 25.84 24.84 21.84 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x.∴ x(8 - 3)% = 39x = 3900/5 = 780∴ 2.8% of 780= 780 x 2.8/100 = 21.84
Number System The product of two consecutive odd numbers is 4095 What is the greater number ? 61 74 65 69 61 74 65 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
EXAMIANS