Number System What is the difference between the local values of 3 in the number 53403? 2997 0 3030 3003 2997 0 3030 3003 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 3000 – 3 = 2997
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 6 4 7 5 6 4 7 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 The difference between a two-digit number and the number obtained by interchanging the two digits is 63. Which is the smaller of the two numbers? 29 70 92 Cannot be determined 29 70 92 Cannot be determined ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the ten's digit be x and units digit by y.Then,(10x + y) - (10y + x) = 639(x - y) = 63x - y = 7Thus, none of the numbers can be determined.
Number System The sum of three consecutive numbers is 87. The greatest among these three number is: 29 26 30 28 29 26 30 28 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the numbers be x, x + 1 and x + 2 Then,x + (x + 1) + (x + 2) = 873x = 84x = 28Greatest number, (x + 2) = 30.
Number System What is the sum of 1 + 2 + 3+ ... + 27 ? 396 343 378 382 396 343 378 382 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Sum = 27 x (27 + 1)/2= 27 x 28/2= 27 x 14= 378
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 84.5 85.5 82.5 83.5 84.5 85.5 82.5 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x + y = 165x - y = 92x = 174 ∴ x = 87 and y = 78∴ x + y/2 = 165/2 = 82.5
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