Number System The sum of two numbers is 22. Five times one number is equal to 6 times the other. The bigger of the two numbers is: 10 12 15 16 10 12 15 16 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the numbers be x and (22 - x). Then,5x = 6(22 - x) 11x = 132 => x = 12So, the numbers are 12 and 10.
Number System The difference between 78% of a number and 59% of the same number is 323. What is 62% of that number ? Rs. 945 Rs. 1054 Rs. 986 Rs. 926 Rs. 945 Rs. 1054 Rs. 986 Rs. 926 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 x + y = 61 and xy = 888, What is the value of x²+ y² ? 1955 1975 1945 1965 1955 1975 1945 1965 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 (444 x 44 x 4) ÷ 40 ? 2053.6 1853.6 2153.6 1953.6 2053.6 1853.6 2153.6 1953.6 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ? = 444 x 44 x 4/40 = 1953.6
Number System 65 x 288 ÷ 52 = 1.8 x ? 190 210 180 200 190 210 180 200 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ? = 65x288/52x1.8 = 200