Number System Subtracting 30 from a number, the remainder is one fourth of the number. Find the number? 40 22 1/2 30 45 40 22 1/2 30 45 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 3/4 x = 30 => x = 40
Number System What is the difference between the local value of 7 and 5 in the number 2574? 570 403 430 413 570 403 430 413 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 500 – 70 = 430
Number System In how many different ways can the letters of word "COLLEGE" be arranged ? 1280 1260 1240 1300 1280 1260 1240 1300 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Number of ways = 7!/2!2! = 1260(∵ L and E come twice)
Number System The sum of four consecutive even numbers is 36. Find the sum of the squares of these numbers? 344 296 388 252 344 296 388 252 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 The product of two natural numbers is 17. Then, the sum of the reciprocals of their squares is: 1/289 289/290 290/289 289 1/289 289/290 290/289 289 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the numbers be a and b. Then,ab = 17, a = 1 and b = 17So, 1/a2 + 1/b2 = (a2 + b2)/a2 b2 = (12 + 172)/(1 * 17)2 = 290/289
Number System If the product of two successive positive integers is 4692, what is the smaller number ? 66 70 68 64 66 70 68 64 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ∵ 68 x 69 = 4692
EXAMIANS