Number System Find the least value of 3x + 4y if x2y3 = 6. 10 7 3 6 10 7 3 6 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 10
Number System In how many different ways can the letters of word "SENTENCE" be arranged ? 6460 3260 2360 3360 6460 3260 2360 3360 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Number of ways = 8!/3! 2! = 40320/12 = 3360
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 ? 28/144 27/143 30/146 29/145 28/144 27/143 30/146 29/145 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 What is the sum of 1 + 2 + 3+ ... + 27 ? 396 343 382 378 396 343 382 378 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Sum = 27 x (27 + 1)/2= 27 x 28/2= 27 x 14= 378
Number System Find the number which multiplied by 15 is increased by 196. 20 14 28 26 20 14 28 26 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x. Then,15x - x = 196x = 14
Number System Sum of the digits number is 8 and their product is 12. Find the difference between the digits? 2 4 6 None 2 4 6 None ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x + y = 8xy = 12(x – y)2 = (x + y)2 – 4xy (x – y)2 = 64 – 48 => (x – y) = 4
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