Number System On dividing number by 56, we get 29 as remainder. On dividing the same number by 8, what will be the remainder? 6 4 7 5 6 4 7 5 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let x be the number and y be the quotient. Then, x = 357 * y + 39= (17 * 21 * y) + (17 * 2) + 5= 17 * (21y + 2) + 5.Required remainder = 5.
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: 24 18 81 42 24 18 81 42 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 What should come in the place of ' ? ' in the following number series ? 2, 5, 9, 19, 37, ? 77 78 75 76 77 78 75 76 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 2 x 2 + 1 = 5;5 x 2 - 1 = 99 x 2 + 1 = 19: 19 x 2 - 1 = 3737 x 2 + 1 = 75
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? 69 49 59 39 69 49 59 39 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 39
Number System The product of two natural numbers is 17. Then, the sum of the reciprocals of their squares is: 290/289 289 289/290 1/289 290/289 289 289/290 1/289 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the numbers be a and b. Then,ab = 17, a = 1 and b = 17So, 1/a2 + 1/b2 = (a2 + b2)/a2 b2 = (12 + 172)/(1 * 17)2 = 290/289
Number System (95.6x 910.3) ÷ 92.56256 = 9? 13.34 14.44 15.54 12.24 13.34 14.44 15.54 12.24 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 13.34
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