Number System The average of five consecutive even numbers, p, q, r, s and t is 40. What is the product of 'r' and 's' ? 1680 1480 1780 1580 1680 1480 1780 1580 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the numbers be x, x + 2, x + 4, x + 6, and x + 8Avg = x + x + 2 + x + 4 + x + 6 + x + 8/5 = 40Therefore, 5x + 20 = 200Therefore, x = 180/5 = 36Therefore, r = x + 4 = 40 s = x + 6 = 42Therefore, Product = 1680
Number System Supply the missing figure : 1, 4, 9, 16, 25 .... 49 36 42 16 23 36 42 16 23 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 36
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 4589 2476 1760 3289 4589 2476 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 A two-digit number is such that the product of the digits is 8. When 18 is added to the number, then the digits are reversed. The number is: 81 42 24 18 81 42 24 18 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the ten's and unit's digit be x and 8/x respectively. Then, (10x + 8/x) + 18 = 10 * 8/x + x 9x2 + 18x - 72 = 0 x2 + 2x - 8 = 0 (x + 4)(x - 2) = 0 x = 2 So, ten's digit = 2 and unit's digit = 4. Hence, required number = 24.
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
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