Number System Find the average of the following set of scores 450, 1050, 12, 390, 143, 286, 550, 999 485 495 480 490 485 495 480 490 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Required average score = (450 + 1050 + 12 + 390 + 143 + 286 + 550 + 999) / 8 = 3880 / 8 = 485
Number System If x + y = 61 and xy = 888, What is the value of x²+ y² ? 1965 1945 1955 1975 1965 1945 1955 1975 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Because (x + y)² = x² + y² + 2xy∴ x² + y² = (x + y)² - 2xy∴ x² + y² = (61)² - 2 x 888= 3721 - 1776 = 1945
Number System Three numbers which are co-prime to one another are such that the product of the first two 551 and that of the last two is 1073. The sum of the three numbers is 93 74 85 110 93 74 85 110 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 85
Number System The sum of the digits of a two digit number is 12. If the new number formed by reversing the digits is greater than the original number by 54, then what will be the original number? 59 49 39 69 59 49 39 69 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 39
Number System 7432 ÷ 32 x ? = 2787 12 41 21 78 12 41 21 78 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 7432/32 x ? = 2787= ? = 2787 x 32/7432 = 12
Number System The difference between a two-digit number and the number obtained by interchanging its two digits is 45. The sum of the digit of the number is 9. What is the product of the two digits of the number? 15 12 14 13 15 12 14 13 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be 10x + y.Therefore, x + y = 9 ..................(i)10x + y - (10y + x) = 4510x + y - 10y - x = 45Therefore, x - y = 5 ..................(ii)From (i) and (ii), x = 7, y = 2Number = 72Therefore, = x x y = 7 x 2 = 14
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