Number System If the three fourth of a number is subtracted from the number; the value so, obtained is 163. What is that number ? 692 689 678 652 692 689 678 652 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Number x (1 - 3/4) = 163∴ Number = 163 x 4 = 652
Number System (12.04 x 7.5 + 0.8 x 45) ÷ 3 = ? 42.1 54.7 42.6 45 42.1 54.7 42.6 45 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP (90.3 + 36) ÷ 3 = 126.3/3 = 42.1
Number System The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and 15 as remainder. What is the smaller number? 270 295 360 240 270 295 360 240 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the smallest number be x.Then larger number = (x + 1365)x + 1365 = 6x + 15= 5x = 1350 x = 270Smaller number = 270.
Number System If 2^(2x-1) = 8^(3-x), then the value of x is: 5 2 6 9 5 2 6 9 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 2
Number System The sum and the product of two numbers are 25 and 144 respectively, the difference of the number is? 3 7 11 5 3 7 11 5 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x + y = 25xy = 144(x- y)2 = (x + y)2 – 4xy(x- y)2 = 625 – 576 => (x – y) = 7
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 29/145 30/146 28/144 27/143 29/145 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
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