Number System If the difference between the squares of two consecutive numbers is 47, what is the smaller number ? 26 24 23 25 26 24 23 25 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the numbers be (x + 1) and x.Therefore, (x + 1)² - x² = 47x² + 2x + 1 - x² = 472x + 1 = 47Therefore, x = 46/2 = 23
Number System The product of two consecutive position odd numbers is 6723. What is the smaller number? 71 79 83 74 71 79 83 74 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 On dividing number by 357, we get 39 as remainder. On dividing the same number by 17, what will be the remainder? 0 3 5 11 0 3 5 11 ANSWER DOWNLOAD EXAMIANS APP
Number System One half of a two digit number exceeds its one third by 6. What is the sum of the digits of the number? 3 7 5 9 3 7 5 9 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x/2 – x/3 = 6=> x =63 + 6 = 9
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 ? 2476 3289 1760 4589 2476 3289 1760 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 If (72)² is subtracted from the square of a number, the answer thus obtained is 4617. What is the number ? 103 99 95 92 103 99 95 92 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x² - (72)² = 467Therefore, x² = 4617 + 5184Therefore, x² = 9801 Therefore, x = 99
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