Number System In how many different ways can the letters of the word 'DETERMINE' be arranged ? 62480 61480 60480 63480 62480 61480 60480 63480 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP No. of arrangements = 9! / 3! Because, E comes 3 times = 60480
Number System A box contains 5 red, 4 black and 4 blue balls. If 3 balls are drawn randomly from the box, what is the probability that there are exactly 2 blue balls in the three drawn balls ? 29/145 27/143 28/144 30/146 29/145 27/143 28/144 30/146 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Total balls = 5 + 4 + 4 = 13∴ n(S) = 13C3 = 2862 blue balls can be selected from 4 balls in 4C2 = 6 ways and the remaining one ball is to be selected from 9 balls in 9C1 = 9 ways ∴ n(E) = 6 x 9∴ P(E) = 6 x 9/286 = 27/143
Number System If 5/7 of a number is 145, what is 180% of that number ? 375.4 345.4 365.4 355.4 375.4 345.4 365.4 355.4 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x.∴ x x 5/7 = 145∴ x = 145 x 7/5 = 203Now, 203 x 180/100 = 365.4
Number System A certain number when divided by 45 leaves a remainder 31, what is the remainder if the same number be divided by 15? 11 13 9 1 11 13 9 1 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 45 + 31 = 76/15 = 1 (Remainder)
Number System 75% of 250 - ?% of 380 = 54.5 33 39 31 35 33 39 31 35 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 250 x 75/100 - 380 x ?/100 = 54.5= 250 x 75 - 380 x ?= 54.5 x 100= 18750 - 380 x ?= 5450= 380 x? = 18750 - 5450= 13300= ? = 13300/380 = 35
Number System Two third of three- fifth of one fourth of a number is 24, what is 30% of that number? 69 72 90 42 69 72 90 42 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x * 2/3 * 3/5 * 1/4 = 24x = 240240 * 30/100 = 72