Number System 106 * 106 - 94 * 94 = ? 2000 2400 1904 1906 2000 2400 1904 1906 ANSWER DOWNLOAD EXAMIANS APP
Number System The sum of five consecutive numbers is 190. What is the sum of the largest and the smallest number ? 73 76 75 74 73 76 75 74 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x + x + 1 + x + 2 + x + 3 + x + 4= 190= 5x + 10 = 190= 5x = 190 - 10 = 180= x = 180/5 = 36The largest number = 36 + 4 = 40∴ Required sum = 36 + 40 = 76
Number System If x + y = 61 and xy = 888, What is the value of x²+ y² ? 1965 1975 1955 1945 1965 1975 1955 1945 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 4.78% of 1255 + 3.24% of 440=0.5% of ? 11849 12849 13849 14849 11849 12849 13849 14849 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 0.5 x ?/100 = 4.78 x 1255/100 + 3.24 x 440/100= 59.989 + 14.256∴ ? = 74.245 x 100/0.5 = 14849
Number System The difference between 78% of a number and 59% of the same number is 323. What is 62% of that number ? Rs. 1054 Rs. 926 Rs. 945 Rs. 986 Rs. 1054 Rs. 926 Rs. 945 Rs. 986 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x.78% of x - 59% of x = 323= 78x - 59x/100 = 323= 19x/100 = 323∴ x = 323 x 100/19 = 1700= 62% of 1700 = 1700 x 62/100 = 1054
Number System If (74)² is added to the square of a number the answer so obtained is 7780. What is the number ? 47 49 50 48 47 49 50 48 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x.or, x² + (74)² = 7780or, x² = 7780 - 5476 = 2304∴ x = 48