Number System If the average of two numbers is 88.5 and one number is 5.5 less than the average. Find out the next number. 86 97 94 91 86 97 94 91 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 94
Number System Find the average of the following set of scores 450, 1050, 12, 390, 143, 286, 550, 999 485 480 495 490 485 480 495 490 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Required average score = (450 + 1050 + 12 + 390 + 143 + 286 + 550 + 999) / 8 = 3880 / 8 = 485
Number System The product of two consecutive position odd numbers is 6723. What is the smaller number? 79 71 83 74 79 71 83 74 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP n x (n + 2) = 6723= n² + 2n - 6723 = 0= n² + 83n - 81n - 6723 = 0= n(n + 83) - 81 (n + 83) = 0Therefore, (n - 81) (n + 83) = 0Therefore, n = 81, n + 2 = 83
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: 40 88 80 44 40 88 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 If the difference between a number and its three-fourth is 18, find the number. 68 57 72 61 68 57 72 61 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x.According to the question,x - 3x/4 = 18= x/4 = 18= x = 4 x 18 = 72
Number System The sum of the present age of a father and a son is 60 years. Five years before, the age of the father was four times that of son. What is the present age of the son ? 15 years 25 years 21 years 18 years 15 years 25 years 21 years 18 years ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the father's age be x and son's age yTherefore, x + y = 60 ....................(i)Five years back, (x - 5) = 4 (y - 5)x - 4y = - 15 ......................(2)Solving (1) and (2), x = 45 and y = 15
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