Number System If a number is subtracted from its square we get 272. Find the number? 14 17 24 22 14 17 24 22 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x2 – x = 272 => x =17
Number System If (83)² is subtracted from the square of a number, the answer so obtained is 8487. What is the number ? 163 179 124 146 163 179 124 146 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x Therefore, x² - (83)² = 8487x² = 8487 + (83)²x² = 8487 + 6889x² = 15376Therefore, x² = 15376 x = 124
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 ? 80/150 80/152 80/153 80/151 80/150 80/152 80/153 80/151 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
Number System What is the value of ? in the following equations ? 72/? = ?/50 40 60 80 100 40 60 80 100 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP (?)² = 72 x 50= (6 x 6 x 2) x (5 x 5 x 2)= (6 x 5 x 2)² = (60)²∴ ? = 60
Number System In how many different ways can the letters of the word "MOBILIZE" be arranged ? 17453 20160 18456 19765 17453 20160 18456 19765 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP The word MOBILIZE has eight letters in which I comes twice ∴ Number of arrangements = 8!/2! = 20160
Number System One-eighth of a number is 76. What will be 54% of the number ? 321.32 318.32 332.32 328.32 321.32 318.32 332.32 328.32 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the no. be x Therefore, 1/8 of x = 76Therefore, x = 60854% of 608 = 608 x 54/100 = 328.32