Number System The sum of a number and its reciprocal is one-eighth of 34. What is the product of the number and its square root? 27 8 None of these 32 27 8 None of these 32 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x. Then,x + 1/x = 34/8 8x2 - 34x + 8 = 0 4x2 - 17x + 4 = 0 (4x - 1)(x - 4) = 0 x = 4required number = 4 * √4 = 4 * 2 = 8.
Number System Supply the missing figure : 2, 6, 12, 20, 30 ... 56 39 40 42 41 39 40 42 41 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 42
Number System 84 * 29 + 365 = ? 2436 - 2801 2801 - 2071 2436 - 2801 2801 - 2071 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP - 84 * (30 - 1) + 365= - (84 * 30) + 84 + 365= - 2520 + 449 = - 2071
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: 88 40 80 44 88 40 80 44 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 A number when multiplied by five times of itself give the value equal to 1445. What is the number ? 18 16 15 17 18 16 15 17 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x x 5x = 1445= 5x² = 1445= x² = 289∴ x = 17
Number System Which one of the following numbers is exactly divisible by 11? 235641 415624 315624 245642 235641 415624 315624 245642 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP (4 + 5 + 2) - (1 + 6 + 3) = 1, not divisible by 11.(2 + 6 + 4) - (4 + 5 + 2) = 1, not divisible by 11.(4 + 6 + 1) - (2 + 5 + 3) = 1, not divisible by 11.(4 + 6 + 1) - (2 + 5 + 4) = 0. So, 415624 is divisible by 11.