Number System The sum of four consecutive even numbers is 36. Find the sum of the squares of these numbers? 388 344 296 252 388 344 296 252 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the four numbers be x, x + 2, x + 4 and x + 6.=> x + x + 2 + x + 4 + x + 6 = 36=> 4x + 12 = 36 => x = 6The numbers are 6, 8, 10 and 12.Sum of their squares = 62 + 82 + 102 + 122 = 36 + 64 + 100 + 144 = 344.
Number System A number is doubled and 9 is added. If the resultant is trebled, it becomes 75. What is that number? 6 None of these 8 3.5 6 None of these 8 3.5 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x. Then,3(2x + 9) = 752x = 16 => x = 8
Number System The sum of two numbers is 25 and their difference is 13. Find their product. 104 315 325 114 104 315 325 114 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the numbers be x and y. Then x + y = 25 and x - y = 13.x = 19; y = 6xy = 19 * 6 = 114
Number System In how many ways can 5 boys be chosen from 6 boys and 4 girls so as to include exactly one girl ? 60 56 58 54 60 56 58 54 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP One girl can be chosen in 4C1 = 4 ways and 4 boys can be chosen in 6C4 = 15 ways ∴ Total number of ways = 4 x 15 = 60 ways.
Number System A number exceeds by 25 from its 3/8 part. Then the number is? 40 35 39 32 40 35 39 32 ANSWER DOWNLOAD EXAMIANS APP
Number System If 5/7 of a number is 145, what is 180% of that number ? 345.4 375.4 365.4 355.4 345.4 375.4 365.4 355.4 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x.∴ x x 5/7 = 145∴ x = 145 x 7/5 = 203Now, 203 x 180/100 = 365.4