Number System On converting the following base-2 numeral in base ten, 1101101, we get 109 106 107 108 109 106 107 108 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 109
Number System On dividing a number by 68, we get 269 as quotient and 0 as remainder. On dividing the same number by 67, what will be the remainder? 3 0 1 2 3 0 1 2 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Number = 269 * 68 + 0 = 1829267) 18292 (273 18291 -------- 1Required number = 1.
Number System The sum of the digits of a two digit number is 12. If the new number formed by reversing the digits is greater than the original number by 54, then what will be the original number? 59 39 49 69 59 39 49 69 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 39
Number System A, B, C, D and E are consecutive even numbers respectively. The average of 5 numbers is 82. What is the product of C and E ? 6363 6373 6383 6353 6363 6373 6383 6353 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x + x + 1 + x + 2 + x + 3 + x + 4 = 5 x 82= 5x + 10 = 410 = 5x = 400= x = 400/5 = 80 ∴ A = 80C = 82and E = 84= C x E = 82 x 84 = 6383
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' ? 1780 1580 1680 1480 1780 1580 1680 1480 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 A certain number when divided by 39 leaves a remainder 20, what is the remainder when the same number is divided by 13? 5 0 7 11 5 0 7 11 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 39 + 20 = 59/13 = 7 (Remainder)
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