Number System What is the value of ? in the following equations ? 72/? = ?/50 60 100 40 80 60 100 40 80 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP (?)² = 72 x 50= (6 x 6 x 2) x (5 x 5 x 2)= (6 x 5 x 2)² = (60)²∴ ? = 60
Number System If A + B = 30 and AB = 94, What is the value of A² + B² ? 920 824 712 625 920 824 712 625 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP (A + B)² = (30)² = 900A² + B² + 2AB = 900Therefore, A² + B² = 900 - 2 x 94 = 900 - 188 = 712
Number System When (21)² is subtracted from the square of a number the answer obtained is 1584. What is the number ? 45 55 35 65 45 55 35 65 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 (800 / 64) * (1296 / 36) = ? None of these 500 420 460 None of these 500 420 460 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Given Exp.= 800/64 * 1296/36 = 12.5 * 36 = 450
Number System The difference between a two-digit number and the number obtained by interchanging the digits is 36. What is the difference of the two digits of the number ? 1 3 2 4 1 3 2 4 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP (10x + y) - (10y + x) = 36,9(x - y) = 36/9 = 4
Number System If the sum of 4 consecutive odd numbers is 104, what will be the third number if they are arranged in ascending order ? 28 29 30 27 28 29 30 27 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the consecutive odd number be x, x + 2, x + 4 and x + 6 respectively.According to the question x + x + 2 + x + 4 + x + 6 = 104 = 4x + 12 = 104 = 4x = 104 - 12 = 92∴ x = 92/4 = 23∴ Required number = x + 4= 23 + 4 = 27