Number System In how many different ways can the letters of word "COLLEGE" be arranged ? 1260 1240 1300 1280 1260 1240 1300 1280 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Number of ways = 7!/2!2! = 1260(∵ L and E come twice)
Number System If 2^(2x-1) = 8^(3-x), then the value of x is: 6 9 5 2 6 9 5 2 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 2
Number System If the sum and difference of two numbers are 20 and 8 respectively, then the difference of their square is: 160 180 12 28 160 180 12 28 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the numbers be x and y. Then, x + y = 20 and x - y = 8x2 - y2 = (x + y)(x - y) = 20 * 8 = 160.
Number System The difference between a number and its three-fifth is 50. What is the number? 125 None of these 75 100 125 None of these 75 100 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x - 3/5 x = 50 => 2/5 x = 50x = (50 * 5)/2 = 125.
Number System (3² x 4² x 5) ÷ 36 = (?)² - 80 14 16 10 12 14 16 10 12 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP (?)² = 3² x 4² x 5/36 + 80= 20 + 80 = 100∴ ? = √100 = 10
Number System The sum of four consecutive even numbers is 36. Find the sum of the squares of these numbers? 388 252 296 344 388 252 296 344 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.