Number System Sum of two numbers is 80. Greater number exceeds by 5 from four times of the smaller. Find the numbers? 64, 16 60, 20 62, 18 65, 15 64, 16 60, 20 62, 18 65, 15 ANSWER DOWNLOAD EXAMIANS APP
Number System What is the sum of all the composite numbers up to 20? 131 132 128 130 131 132 128 130 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 4 + 6 + 8 + 9 + 10 + 12 + 14 + 15 + 16 + 18 = 132
Number System A bag contains four red, six black and seven green balls. Three balls are drawn randomly. What is the probability that the balls drawn contain exactly two red balls ? 58/340 39/340 51/340 45/340 58/340 39/340 51/340 45/340 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Total balls = 4 + 6 + 7 = 17∴ n(S) = 17C1 = 680Two red balls can be selected from four red balls in 4C2 = 6 ways.and the third ball can be selected from the remaining 13 balls in 13C1 = 13 ways.∴ P (E) = 13x6/680 = 39/340
Number System The sum of five consecutive numbers is 190. What is the sum of the largest and the smallest number ? 76 73 75 74 76 73 75 74 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 (182)² is added to the square of a number, the answer so obtained is 47765. What is the number ? 131 101 121 111 131 101 121 111 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 4/6 of 6/5 of 5/7 of a number is 96. Find the number. 162 168 164 170 162 168 164 170 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x.∴ x x 4/6 x 6/5 x 5/7 = 96∴ x = 96 x 6 x 5 x 7/4 x 6 x 5 = 168