Number System (√6 + 1)² = ? + 2√6 6 7 8 5 6 7 8 5 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ? = (√6 + 1)² - 2√6= (√6)² + 2 x √6 + 1 + 1² - 2√6= 6 + 2√6 + 1 - 2√6 = 6 + 1 = 7
Number System A bag contains four red, six black and seven green balls. Three balls are drawn randomly. What is the probability that the balls drawn contain exactly two red balls ? 58/340 51/340 45/340 39/340 58/340 51/340 45/340 39/340 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Total balls = 4 + 6 + 7 = 17∴ n(S) = 17C1 = 680Two red balls can be selected from four red balls in 4C2 = 6 ways.and the third ball can be selected from the remaining 13 balls in 13C1 = 13 ways.∴ P (E) = 13x6/680 = 39/340
Number System On dividing number by 357, we get 39 as remainder. On dividing the same number by 17, what will be the remainder? 11 0 3 5 11 0 3 5 ANSWER DOWNLOAD EXAMIANS APP
Number System 5358 * 51 = ? 273348 273268 273358 273258 273348 273268 273358 273258 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 5358 * 51 = 5358 * (50 + 1) = 5358 * 50 + 5358 * 1= 267900 + 5358 = 273258
Number System What is the value of 8/11 of 5/7 of 96% of 28875 ? 14400 13800 15400 12900 14400 13800 15400 12900 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Number = 8 x 5 x 96 x 28875/11 x 7 x 100 = 14400
Number System If x + y = 61 and xy = 888, What is the value of x²+ y² ? 1955 1965 1945 1975 1955 1965 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