Number System A, B, C, D and E are consecutive even numbers respectively. The average of 5 numbers is 82. What is the product of C and E ? 6363 6383 6373 6353 6363 6383 6373 6353 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x + x + 1 + x + 2 + x + 3 + x + 4 = 5 x 82= 5x + 10 = 410 = 5x = 400= x = 400/5 = 80 ∴ A = 80C = 82and E = 84= C x E = 82 x 84 = 6383
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 ? 27/143 30/146 29/145 28/144 27/143 30/146 29/145 28/144 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 8988 / 8 / 4 = ? 4494 280.875 2247 561.75 4494 280.875 2247 561.75 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 8988 * 1/8 * 1/4 = 2247/8 = 280.875
Number System On dividing a number by 68, we get 269 as quotient and 0 as remainder. On dividing the same number by 67, what will be the remainder? 3 2 1 0 3 2 1 0 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Number = 269 * 68 + 0 = 1829267) 18292 (273 18291 -------- 1Required number = 1.
Number System The sum of three consecutive numbers is 87. The greatest among these three number is: 28 29 26 30 28 29 26 30 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the numbers be x, x + 1 and x + 2 Then,x + (x + 1) + (x + 2) = 873x = 84x = 28Greatest number, (x + 2) = 30.
Number System The difference between the two digit number and the number obtained by interchanging its digits is 54. The difference between the digits is? 6 4 Nothing can be said. 1 6 4 Nothing can be said. 1 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP (10x + y) – (10y + x) = 54x – y = 6