Number System The average of five consecutive even numbers A, B, C, D and E is 42. What is the product of B and D ? 4589 2476 1760 3289 4589 2476 1760 3289 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP A + B + C + D + E/5 = 42∴ C = 42, ∴ B = 40, ∴ D = 44∴ B x D = 40 x 44 = 1760
Number System The difference between a two-digit number and the number obtained by interchange the two digits of the number is 27. If the sum of the two digits of the number is 13, what is their product ? 39 37 38 40 39 37 38 40 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be 10x + y.∴ 10x + y - (10y + x) = 27or 9x - 9y = 27∴ x - y = 3 .......(I)x + y = 13 .......(II)From eqn (I) and (II)x = 8 and y = 5.So the number = 85Therefore, product = 8 x 5 = 40
Number System 2536+4851—?=3450+313 6784 3624 5243 4567 6784 3624 5243 4567 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 3624
Number System Which one of the following is the sum of the numbers 1, 3, 5, 7, 9…. up to nth number? N2 + 1 N(N + 1)/2 N(N + 1) N2 N2 + 1 N(N + 1)/2 N(N + 1) N2 ANSWER DOWNLOAD EXAMIANS APP
Number System The product of two consecutive position odd numbers is 6723. What is the smaller number? 83 74 79 71 83 74 79 71 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP n x (n + 2) = 6723= n² + 2n - 6723 = 0= n² + 83n - 81n - 6723 = 0= n(n + 83) - 81 (n + 83) = 0Therefore, (n - 81) (n + 83) = 0Therefore, n = 81, n + 2 = 83
Number System Thrice the square of a natural number decreased by 4 times the number is equal to 50 more than the number. The number is: 4 6 5 10 4 6 5 10 ANSWER DOWNLOAD EXAMIANS APP