Number System In how many different ways can the letters of the word "MOBILIZE" be arranged ? 20160 18456 19765 17453 20160 18456 19765 17453 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP The word MOBILIZE has eight letters in which I comes twice ∴ Number of arrangements = 8!/2! = 20160
Number System When 732 is subtracted form the square of a number, the answer that is obtained is 5280. What is the number? 103 97 99 101 103 97 99 101 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x2 - 732 = 5280 x2 = 5280 + (70+3)2 = 5280 + 4900 + 420 + 9 = 10609= 10000 + 2(100)(3) + 32 = (100 + 3)2x = 100 + 3 = 103.
Number System The average of five consecutive even numbers, p, q, r, s and t is 40. What is the product of 'r' and 's' ? 1780 1580 1480 1680 1780 1580 1480 1680 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the numbers be x, x + 2, x + 4, x + 6, and x + 8Avg = x + x + 2 + x + 4 + x + 6 + x + 8/5 = 40Therefore, 5x + 20 = 200Therefore, x = 180/5 = 36Therefore, r = x + 4 = 40 s = x + 6 = 42Therefore, Product = 1680
Number System One half of a two digit number exceeds its one third by 6. What is the sum of the digits of the number? 3 7 9 5 3 7 9 5 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x/2 – x/3 = 6=> x =63 + 6 = 9
Number System If 4 2/3 is subtracted form 10 1/2 and the difference is multiplied by 450, then what is the final answer? 2675 2725 2875 None of these 2675 2725 2875 None of these ANSWER DOWNLOAD EXAMIANS APP
Number System An urn contains 9 blue, 7 white and 4 black balls. If 2 balls are drawn at random, then what is the probability that only one ball is white ? 92/190 89/190 90/190 91/190 92/190 89/190 90/190 91/190 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Total possible outcomes = 20C2 = 20 x 19/1 x 2 = 190Total favourable outcomes = 7C1 x 13C1 = 7 x 13 = 91∴ Required probability = 91/190
EXAMIANS