Number System On dividing number by 56, we get 29 as remainder. On dividing the same number by 8, what will be the remainder? 5 4 7 6 5 4 7 6 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 What is the sum of all even numbers from 1 to 701? 122550 122500 122850 123850 122550 122500 122850 123850 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 700/2 = 350350 * 351 = 122850
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 18 24 42 81 18 24 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 The difference between the two digit number and the number obtained by interchanging its digits is 54. The difference between the digits is? 4 1 6 Nothing can be said. 4 1 6 Nothing can be said. ANSWER EXPLANATION DOWNLOAD EXAMIANS APP (10x + y) – (10y + x) = 54x – y = 6
Number System Look at this series: 1000, 200, 40, ... What number should come next? 2 24 8 14 2 24 8 14 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP This is a simple division series. Each number is divided by 5. Rule = (1st number / 5 = 2nd number) (2nd number / 5 = 3rd number)....Now, (1000 / 5 = 200), (200 / 5 = 40), (40 / 5 = 8)...So answer is a = 8.
Number System A gardener wants to plant trees in his garden in such a way that the number of trees in each row should be the same. If there are 4 rows or 5 rows or 6 rows, then no tree will be left. Find the least 120 30 60 240 120 30 60 240 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP The least number of trees that are required = LCM(4, 5, 6) = 60.