Number System How many of the following numbers are divisible by 132? 264, 396, 462, 792, 968, 2178, 5184, 6336 5 4 6 7 5 4 6 7 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 132 = 11 * 3 * 4Clearly, 968 is not divisible by 3None of 462 and 2178 is divisible by 4And, 5284 is not divisible by 11Each one of the remaining four numbers is divisible by each one of 4, 3 and 11.So, there are 4 such numbers.
Number System The average of five consecutive even numbers A, B, C, D and E is 54. What is the product of'B' and 'E' ? 4098 2871 1456 3016 4098 2871 1456 3016 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Because, The even numbers are consecutive and their average is 54.∴ The number C will be 54.∴ A = 50, B = 52, D = 56, E = 58B x E = 52 x 58 = 3016
Number System 65% of 320+?=686 480 478 481 479 480 478 481 479 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 65% of 320+?=686 208+?=686?=686-208?=478
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 What is the difference between the largest number and the least number written with the figures 3, 4, 7, 0, 3? 70983 43983 43883 43893 70983 43983 43883 43893 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 74330 Largest30347 Smallest-------------43983
Number System The product of two consecutive odd numbers is 6723. Find is the greater number. 83 77 80 85 83 77 80 85 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the first odd number be x.Then, the other odd number would be x + 2.∴ x(x+2) = 6723= x2 + 2x = 6723= x2 + 2x = 6723= x2 + 2x - 6723 = 0= x2 + 83 - 81 x - 6723 = 0= x(x+83) - 81 (x + 83) = 0= (x + 83) (x - 81) = 0= (x + 83) (x - 81) = 0= x - 81 = 0∴ x = 81Hence, greater number = x + 2 = 81 + 2 = 83
EXAMIANS