Number System In how many different ways can the letters of the word 'LEASE' be arranged ? 80 40 None of these 60 80 40 None of these 60 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP The world LEASE consists of 5 letters in which E comes twice ∴ 51/21 = 5x4x3x2x1/2x1 = 60
Number System The sum of two numbers is 165 and the difference between them is 9. What is the average of these two numbers ? 84.5 83.5 82.5 85.5 84.5 83.5 82.5 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 What is the difference between the local value of 7 and 5 in the number 2574? 430 403 570 413 430 403 570 413 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 500 – 70 = 430
Number System In how many different ways can be the letters of the word PENCIL be arranged among themselves ? 510 860 720 640 510 860 720 640 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Total six letters are there and hence the number of arrangements = 6! = 6 x 5 x 4 x 3 x 2 x 1 = 720
Number System 63.602 + 153.756 + 94.754 - 84.321 - 122.204 = ? 141.587 142.587 143.587 140.587 141.587 142.587 143.587 140.587 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ? = 312.112 - 170.525 = 141.587
Number System The sum of the digits of a two-digit number is 12, and the difference between the number and the number obtained by interchanging the two digits of the number is 18. Find the number. 12.5 50 75 25 12.5 50 75 25 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be 10x + y.∴ x + y = 12 ...........(i)10x + y - (10x + x) = 18or 10x + y - 10y - x = 18or 9x - 9y = 18∴ x - y = 2From (i) and (ii), x = 7, y = 5∴ Number = 75
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