Number System If x + y = 61 and xy = 888, What is the value of x²+ y² ? 1965 1955 1945 1975 1965 1955 1945 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 A number is doubled and 9 is added. If the resultant is trebled, it becomes 75. What is that number? 6 3.5 None of these 8 6 3.5 None of these 8 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x. Then,3(2x + 9) = 752x = 16 => x = 8
Number System Which one of the following numbers is exactly divisible by 11? 245642 235641 315624 415624 245642 235641 315624 415624 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP (4 + 5 + 2) - (1 + 6 + 3) = 1, not divisible by 11.(2 + 6 + 4) - (4 + 5 + 2) = 1, not divisible by 11.(4 + 6 + 1) - (2 + 5 + 3) = 1, not divisible by 11.(4 + 6 + 1) - (2 + 5 + 4) = 0. So, 415624 is divisible by 11.
Number System Find the least number when successively divided by 2, 3 and 7 leaves remainders 1, 2 and 3 respectively? 61 67 65 75 61 67 65 75 ANSWER DOWNLOAD EXAMIANS APP
Number System Which number should replace question mark (?) in the following equation ? ?/342 = 38/? 116 112 118 114 116 112 118 114 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP (?)² = 342 x 38Therefore, ? = √342 x 38 = √38 x 9 x 38 = 38 x 3 = 114
Number System What value should come in place of ? in the given number series ? 15, 51, 162, 498, 1509, ? 4545 7878 3434 5656 4545 7878 3434 5656 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 15, (15 + 2) x 3 = 51,(51 + 3) x 3 = 162, (162 + 4) x 3 = 498, (498 + 5) x 3 = 1509(1509 + 6) x 3 = 4545
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