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The following coding system shows the letter codes for numbers. Excluding the exceptions mentioned below, the digits in the question are to be transformed into letter codes as follows: Digit 0 1 2 3 4 5 6 7 8 9 Letter Code A B C D E F G H I J Exceptions: i. If a number begins with a nonzero even digit, that digit should be coded as N. ii. If a number begins with a nonzero odd digit, that digit should be coded as P. iii. If a number begins and also ends with non-zero even digits, those two digits at the extreme ends should be coded as Q. iv. If a number begins and also ends with nonzero odd digits, those two digits at the extreme ends should be coded as W. v. If a number's middle digit is a multiple of 2 that digit should be coded as Z. Barring these exceptions, the other digits should be codified as per the above-mentioned letter codes. Find the appropriate code for the following number-group 3214067
An Identity Card has the number ABCDEFG, not necessarily in that order, where each letter represents a distinct digit (1, 2, 4, 5, 7, 8, 9 only). The number is divisible by 9. After deleting the first digit from the right, the resulting number is divisible by 6. After deleting two digits from the right of original number, the resulting number is divisible by 5. After deleting three digits from the right of original number, the resulting number is divisible by 4. After deleting four digits from the right of original number, the resulting number is divisible by 3. After deleting five digits from the right of original number, the resulting number is divisible by 2. Which of the following is a possible value for the sum of the middle three digits of the number?
In a 4-digit number, the sum of the first two digits is equal to that of last two digits. The sum of the first and last digits is equal to third digit. Finally, the sum of the second and fourth digits is twice the sum of the other two digits. What is the third digit of the number?
The digits 1 to 9 are arranged in three rows in such a way that each row contains three digits, and the number formed in the second row is twice the number formed in the first row; and the number formed in the third row is thrice the number formed in the first row. Repetition of digits is not allowed. If only three of the four digits 2, 3, 7 and 9 are allowed to use in the first row, how many such combinations are possible to be arranged in the three rows?
When a two-digit number is multiplied by the sum of its digits, the product is 424. When the number obtained by interchanging its digits is multiplied by the sum of the digits, the result is 280. The sum of the digits of the given number is:
There is a numeric lock which has a 3-digit PIN. The PIN contains digits 1 to 7. There is no repetition of digits. The digits in the PIN from left to right are in decreasing order. Any two digits in the PIN differ by at least 2. How many maximum attempts does one need to find out the PIN with certainty?
The difference between a 2-digit number and the number obtained by interchanging the positions of the digits is 54. Consider the following statements: 1. The sum of the two digits of the number can be determined only if the product of the two digits is known. 2. The difference between the two digits of the number can be determined. Which of the above statements is/are correct?
Which of the following options is NOT an example of a number tried with the following properties? 1. Sum of the digits of the third number is twice the sum of the digits of the first number. 2. Sum of the digits of the second number is thrice the sum of the digits of the first number. 
Vikash threw dice 25 times and noted the number appearing each time as shown below: 2, 3, 1, 2, 4, 5, 4, 3, 6, 2, 3, 1, 6, 3, 4, 6, 1, 3, 2, 6, 3, 5, 6, 3, 4 The tally table of the above data will be (A)  Digits of dice occurred Tally marks 1 ||| 2 |||| 3 |||| || 4 |||| 5 || 6 |||| (B)  Digits of dice occurred Tally marks 1 ||||  2 ||| 3 |||| | 4 |||  5 || 6 |||| (C)  Digits of dice occurred Tally marks 1 |||| | 2 || 3 |||| | 4 |||| 5 || 6 |||| (D)  Digits of dice occurred Tally marks 1 |||| | 2 |||| 3 |||| || 4 ||||  5 ||| 6 ||||
Karim threw dice 30 times and noted the number appearing each time as shown below: 1, 2, 1, 2, 4, 4, 4, 3, 3, 2, 1, 1, 6, 3, 4, 6, 1, 3, 2, 6, 3, 5, 6, 3, 4, 4, 5, 6, 3, 1 The tally table of the above data will be (A)  Digits of dice occurred Tally marks 1 |||| | 2 |||| 3 |||| || 4 ||||  5 ||| 6 |||| (B) Digits of dice occurred Tally marks 1 ||||  2 |||| 3 |||| || 4 |||| | 5 ||| 6 |||| (C) Digits of dice occurred Tally marks 1 ||||  2 |||| 3 |||| | 4 |||| | 5 |||| 6 |||| (D) Digits of dice occurred Tally marks 1 |||| | 2 |||| 3 |||| || 4 |||| | 5 || 6 ||||