Number System If the difference between a number and two-fifths of that number is 45 what is the number ? 75 78 76 77 75 78 76 77 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x ∴ x - 2x/5 = 45∴ x = 75
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 ? 1760 3289 2476 4589 1760 3289 2476 4589 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 product of two consecutive odd numbers is 6723. Find is the greater number. 85 83 77 80 85 83 77 80 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
Number System The difference between a two-digit number and the number obtained after interchanging its two digits is 36. The sum of the two digits of the number is 12. Find the lowest such possible number. 50 47 48 49 50 47 48 49 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the digits be x and yTherefore, x + y = 12 .............(1)(10y + x) - (10x + y) Therefore, y - x = 4............. (2)Solving (1) and (2), y = 8 Therefore, x = 4There are two possible numbers 48 and 84. So the lowest no. is 48.
Number System What number should replace both the question marks (?) in the following question ? 82 83 85 84 82 83 85 84 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 84
Number System What is the value of ? in the following equations ? 72/? = ?/50 100 40 80 60 100 40 80 60 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP (?)² = 72 x 50= (6 x 6 x 2) x (5 x 5 x 2)= (6 x 5 x 2)² = (60)²∴ ? = 60
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