Number System 7432 ÷ 32 x ? = 2787 41 12 78 21 41 12 78 21 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 7432/32 x ? = 2787= ? = 2787 x 32/7432 = 12
Number System The product of two natural numbers is 17. Then, the sum of the reciprocals of their squares is: 290/289 289 289/290 1/289 290/289 289 289/290 1/289 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the numbers be a and b. Then,ab = 17, a = 1 and b = 17So, 1/a2 + 1/b2 = (a2 + b2)/a2 b2 = (12 + 172)/(1 * 17)2 = 290/289
Number System If (182)² is added to the square of a number, the answer so obtained is 47765. What is the number ? 111 101 131 121 111 101 131 121 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the no. be xTherefore x² + (182)² = 47765Therefore x² = 47765 - (182)2 = 47765 - 33124Therefore x² = 14641, Therefore x = 121
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 ? 92/190 91/190 90/190 89/190 92/190 91/190 90/190 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 the two digit number and the number obtained by interchanging its digits is 54. The difference between the digits is? 6 Nothing can be said. 1 4 6 Nothing can be said. 1 4 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP (10x + y) – (10y + x) = 54x – y = 6
Number System What will be the next number in the following number series ? 162 177 191 182 162 177 191 182 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 1² + 1, 3² + 3, 5² + 5, 7² + 7