Number System If x + y = 61 and xy = 888, What is the value of x²+ y² ? 1955 1945 1965 1975 1955 1945 1965 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 What is the average of the following set of numbers ? 173, 192, 198, 204, 211, 223, 227 222 234 210 204 222 234 210 204 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Avg = 173 + 192 + 198 + 204 + 211 + 223 + 227/7 = 1428/7 = 204
Number System Which choice provides the answer : If 2 + 3 = 10, 6 + 5 = 66, 7 + 2 = 63, 9 + 7 = 144 then, 8 + 4 = ? 102 88 96 114 102 88 96 114 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 96
Number System What should come in place of the question mark (?) in the following number series ? 888 888 444 148 ? 7.4 35 37 33 29 35 37 33 29 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 888 ÷ 1 = 888888 ÷ 2 = 444444 ÷ 3 = 148148 ÷ 4 = 3737 ÷ 5 = 7.4
Number System The sum of the numbers is 264. If the first number be twice the second and third number be one-third of the first, then the second number is: 72 84 54 48 72 84 54 48 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the second number be x. Then, first number = 2x and third number = 2x/3.2x + x + 2x/3 = 26411x/3 = 264x = 72
Number System A basket contains eight white and ten black balls. Two draws of one ball each are made without replacement. What is the probability that one ball is white and the other ball is black ? 80/151 80/153 80/152 80/150 80/151 80/153 80/152 80/150 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Two balls can be drawn from 18 balls in 18C2 Ways, ie 153 ways. One white from 8 white balls can be drawn in 8C1 = 8 ways and one black ball from 10 black can be drawn in 10C1 = 10 ways.∴ n(S) = 153, n(E) = 8 x 10 = 80∴ P(E) = 80/153
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