Number System In how many different ways can the letters of the word ANATOMY be arranged ? 2504 2510 2508 2520 2504 2510 2508 2520 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Here total letters are 7 but A comes twice.Therefore, Numbers of arrangements = 7!/2! = 2520
Number System In how many different ways can the letters of the word 'DETERMINE' be arranged ? 62480 60480 61480 63480 62480 60480 61480 63480 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP No. of arrangements = 9! / 3! Because, E comes 3 times = 60480
Number System The digit in unit's place of a three digit number is thrice the digit in ten's place & the digit in hundred's place is two-third of the digit in ten's place. If the sum of three digits of number is 14 221 239 211 215 221 239 211 215 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the ten's digit be x.∴ Unit's digit = 3xHundered's digit = 2x/3∴ x + 3x + 2x/3 = 14= 3x + 9x + 2x = 14 x 3= 14x = 14 x 3= x = 3∴ Number = 239
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. 75 50 12.5 25 75 50 12.5 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
Number System When (21)² is subtracted from the square of a number the answer obtained is 1584. What is the number ? 45 65 35 55 45 65 35 55 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x.According to the question,x² - (21)² = 1584= x² - 441 = 1584 = x² = 1584 + 441 = 2025∴ x = √2025 = 45
Number System In a division sum, the divisor is 10 times the quotient and 5 times the remainder. If the remainder is 46, the dividend is: 9865 2568 6890 5336 9865 2568 6890 5336 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 5336