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 11 0 7 5 11 0 7 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 39 + 20 = 59/13 = 7 (Remainder)
Number System In how many different ways can the letters of word "COLLEGE" be arranged ? 1240 1280 1260 1300 1240 1280 1260 1300 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Number of ways = 7!/2!2! = 1260(∵ L and E come twice)
Number System The sum of two numbers is 165 and the difference between them is 9. What is the average of these two numbers ? 83.5 82.5 84.5 85.5 83.5 82.5 84.5 85.5 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x + y = 165x - y = 92x = 174 ∴ x = 87 and y = 78∴ x + y/2 = 165/2 = 82.5
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 30 240 120 60 30 240 120 60 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP The least number of trees that are required = LCM(4, 5, 6) = 60.
Number System The sum of five consecutive numbers is 190. What is the sum of the largest and the smallest number ? 74 75 73 76 74 75 73 76 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x + x + 1 + x + 2 + x + 3 + x + 4= 190= 5x + 10 = 190= 5x = 190 - 10 = 180= x = 180/5 = 36The largest number = 36 + 4 = 40∴ Required sum = 36 + 40 = 76
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
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