Number System What is the difference between the largest number and the least number written with the figures 3, 4, 7, 0, 3? 43983 43883 70983 43893 43983 43883 70983 43893 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 74330 Largest30347 Smallest-------------43983
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 ? 90/190 92/190 91/190 89/190 90/190 92/190 91/190 89/190 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
Number System The difference between a two-digit number and the number obtained by interchanging its two digits is 45. The sum of the digit of the number is 9. What is the product of the two digits of the number? 13 12 14 15 13 12 14 15 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be 10x + y.Therefore, x + y = 9 ..................(i)10x + y - (10y + x) = 4510x + y - 10y - x = 45Therefore, x - y = 5 ..................(ii)From (i) and (ii), x = 7, y = 2Number = 72Therefore, = x x y = 7 x 2 = 14
Number System Two-third of a positive number and 25/216 of its reciprocal are equal. The number is: 5/12 12/5 25/144 144/25 5/12 12/5 25/144 144/25 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x. Then,2/3 x = 25/216 * 1/xx2 = 25/216 * 3/2 = 25/144 x = 5/12
Number System The sum of two numbers is 165 and the difference between them is 9. What is the average of these two numbers ? 83.5 82.5 85.5 84.5 83.5 82.5 85.5 84.5 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x + y = 165x - y = 92x = 174 ∴ x = 87 and y = 78∴ x + y/2 = 165/2 = 82.5
Number System If one-third of one fourth of a number is 15, then three-tenth of that number is: 45 54 35 25 45 54 35 25 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x. Then,1/3 of 1/4 of x = 15x = 15 * 12 = 180So, required number = (3/10 * 180) = 54.
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