Number System When (21)² is subtracted from the square of a number the answer obtained is 1584. What is the number ? 55 65 45 35 55 65 45 35 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x.According to the question,x² - (21)² = 1584= x² - 441 = 1584 = x² = 1584 + 441 = 2025∴ x = √2025 = 45
Number System In a two-digit number, if it is known that its unit's digit exceeds its ten's digit by 2 and that the product of the given number and the sum of its digits is equal to 144, then the number is: 24 26 42 46 24 26 42 46 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the ten's digit be x. Then, unit's digit = x + 2. Number = 10x + (x + 2) = 11x + 2 Sum of digits = x + (x + 2) = 2x + 2 (11x + 2)(2x + 2) = 144 2x2 + 26x - 140 = 0 (x - 2)(11x + 35) = 0 x = 2Hence, required number = 11x + 2 = 24.
Number System How many figures are required for numbering the pages of a book containing 1000 pages? 3892 2893 6489 2883 3892 2893 6489 2883 ANSWER DOWNLOAD EXAMIANS APP
Number System The average of five consecutive even numbers A, B, C, D and E is 54. What is the product of'B' and 'E' ? 2871 4098 1456 3016 2871 4098 1456 3016 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Because, The even numbers are consecutive and their average is 54.∴ The number C will be 54.∴ A = 50, B = 52, D = 56, E = 58B x E = 52 x 58 = 3016
Number System 35 + 15 * 1.5 = ? 5.25 57.5 75 51.5 5.25 57.5 75 51.5 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Given Exp. = 35 + 15 * 3/2 = 35 + 45/2 = 35 + 22.5 = 57.5
Number System Three times the first of three consecutive odd integers is 3 more than twice the third. The third integer is: 9 13 15 11 9 13 15 11 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the three integers be x, x + 2 and x+ 4.Then,3x = 2(x + 4) + 3x = 11Third integer = x + 4 = 15.