Number System If (17)3 is subtracted from the square of a number, the answer so obtained is 2143. What is the number ? 82 83 81 84 82 83 81 84 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x² - (17*17*17) = 2143or x² = 2143 + 4913 = 7056∴ x = 84
Number System (4.6 x 2.8 x 5.5) - (3.2 x 4.5 x 2.8) = ? 28.56 29.81 27.54 30.52 28.56 29.81 27.54 30.52 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ? = (4.6 x 2.8 x 5.5) - (3.2 x 4.5 x 2.8) = 70.84 - 40.32 = 30.52
Number System In how many different ways can the letters of the word "MOBILIZE" be arranged ? 19765 17453 20160 18456 19765 17453 20160 18456 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP The word MOBILIZE has eight letters in which I comes twice ∴ Number of arrangements = 8!/2! = 20160
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 29/145 30/146 27/143 28/144 29/145 30/146 27/143 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 least number that should be added to 5200 to make it a perfect square ? 288 129 225 275 288 129 225 275 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP We sec (73)² = 5329 and (72)² = 5184ie 5329 > 5200 > 5184So 129 should be added to make is perfect square.
Number System What should come in place of (?) in the following series ? 10, 19, 30, 43, 58, ? 77 75 78 76 77 75 78 76 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP The series is: +9, +11, +13, +15, +17
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