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' ? 3016 1456 2871 4098 3016 1456 2871 4098 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 When 732 is subtracted form the square of a number, the answer that is obtained is 5280. What is the number? 103 99 97 101 103 99 97 101 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x2 - 732 = 5280 x2 = 5280 + (70+3)2 = 5280 + 4900 + 420 + 9 = 10609= 10000 + 2(100)(3) + 32 = (100 + 3)2x = 100 + 3 = 103.
Number System What least number shall be added to 4700 to make it a perfect square ? 81 91 61 71 81 91 61 71 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP (69)² = 4761 and (68)² = 4624Clerly 4624 < 4700 < 4761So 61 should be added to make 4700 a perfect square.
Number System If 70% of an equal to 40% of b, then ratio between a and b is? 7: 11 None 7: 4 4: 7 7: 11 None 7: 4 4: 7 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 70 a = 40 ba: b = 4: 7
Number System The difference between a two-digit number and the number obtained after interchanging its two digits is 36. The sum of the two digits of the number is 12. Find the lowest such possible number. 49 47 50 48 49 47 50 48 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the digits be x and yTherefore, x + y = 12 .............(1)(10y + x) - (10x + y) Therefore, y - x = 4............. (2)Solving (1) and (2), y = 8 Therefore, x = 4There are two possible numbers 48 and 84. So the lowest no. is 48.
Number System The sum of two numbers is 165 and the difference between them is 9. What is the average of these two numbers ? 82.5 84.5 83.5 85.5 82.5 84.5 83.5 85.5 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x + y = 165x - y = 92x = 174 ∴ x = 87 and y = 78∴ x + y/2 = 165/2 = 82.5