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Number System

Number System
In how many different ways can the letters of the word ANATOMY be arranged ?

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

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

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

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

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

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

5336

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