Number System The sum of five consecutive numbers is 190. What is the sum of the largest and the smallest number ? 75 76 74 73 75 76 74 73 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x + x + 1 + x + 2 + x + 3 + x + 4= 190= 5x + 10 = 190= 5x = 190 - 10 = 180= x = 180/5 = 36The largest number = 36 + 4 = 40∴ Required sum = 36 + 40 = 76
Number System If a + b = 16 and ab = 68, what is the value of a² + b² ? 116 120 112 124 116 120 112 124 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP a + b = 16 Therefore, (a+b)² = (16)² = 256 a² + b² + 2ab = 256Therefore, a² + b² = 256 - 2 x 68Therefore, a² + b² = 256 - 136 = 120
Number System If the difference between a number and its three fifths is 62, what is the number ? 175 155 145 165 175 155 145 165 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x.∴ x - 3x/5 = 62or x = 62 x 5/2 = 155
Number System Find the average of the following set of scores 450, 1050, 12, 390, 143, 286, 550, 999 480 485 490 495 480 485 490 495 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Required average score = (450 + 1050 + 12 + 390 + 143 + 286 + 550 + 999) / 8 = 3880 / 8 = 485
Number System What should come in place of question mark (?) in the following number series ? 7, 176, 480, 1058, 2188, 4426, ? 8888 8884 8882 8881 8888 8884 8882 8881 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Series is (No. + 9²) x 2, (+8²) x 2, (+7²) x 2, (+6²) x 2.......
Number System In how many different ways can the letters of the word "MOBILIZE" be arranged ? 17453 18456 19765 20160 17453 18456 19765 20160 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP The word MOBILIZE has eight letters in which I comes twice ∴ Number of arrangements = 8!/2! = 20160