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: 80 44 40 88 80 44 40 88 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 The square root of 0.0081 is: 0.09 0.91 0.009 0.9 0.09 0.91 0.009 0.9 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 0.09
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' ? 1456 2871 3016 4098 1456 2871 3016 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 The difference between two integers is 5. Their product is 500. Find the numbers. 20, 25 21, 26 15, 20 30, 25 20, 25 21, 26 15, 20 30, 25 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the integers be x and (x + 5). Then, x(x + 5) = 500 x2 + 5x - 500 = 0 (x + 25)(x - 20) = 0 x = 20So, the numbers are 20 and 25.
Number System The product of two natural numbers is 17. Then, the sum of the reciprocals of their squares is: 289 1/289 289/290 290/289 289 1/289 289/290 290/289 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the numbers be a and b. Then,ab = 17, a = 1 and b = 17So, 1/a2 + 1/b2 = (a2 + b2)/a2 b2 = (12 + 172)/(1 * 17)2 = 290/289
Number System On converting the following base-2 numeral in base ten, 1101101, we get 109 107 106 108 109 107 106 108 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 109
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