Question

A company employee generates a series of five-digit product codes in accordance with the following rules:
- The codes use the digits 0, 1, 2, 3, and 4, and no others.
Each digit occurs exactly once in any code.
- The second digit has a value exactly twice that of the
first digit.
- The value of the third digit is less than the value of the
fifth digit.

Which one of the following must be true about any acceptable product code?

The digit 1 appears in some position before the digit 2.
The digit 1 appears in some position before the digit 3.
The digit 2 appears in some position before the digit 3.
The digit 3 appears in some position before the digit 0.
The digit 4 appears in some position before the digit 3.

Answer 1

Answer:

The digit 2 appears in some position before the digit 3.

Step-by-step explanation:

A company employee generates a series of five-digit product codes in accordance with the following rules:

- The codes use the digits 0, 1, 2, 3, and 4, and no others.

Each digit occurs exactly once in any code.

- The second digit has a value exactly twice that of the  first digit.

- The value of the third digit is less than the value of the  fifth digit.

The second digit has a value exactly twice that of the  first digit

Hence only possibility of 1st & 2nd digit can be

12  or  24

Case 1

12   - First & 2nd digit

The value of the third digit is less than the value of the  fifth digit.

third digit  0   fourth & fifth digit 3 , 4

third digit 3  Fourth Digit 0 & Fifth digit 4

12034 , 12043 & 12304

Case 2

24   - First & 2nd digit

The value of the third digit is less than the value of the  fifth digit.

third digit  0   fourth & fifth digit 1 , 3

third digit 1  Fourth Digit 0 & Fifth digit 3

24013 , 24031 , 24103

The digit 1 appears in some position before the digit 2  - FALSE ( 24013 , 24031 , 24103)

The digit 1 appears in some position before the digit 3. - FALSE (24031)

The digit 2 appears in some position before the digit 3. - TRUE

The digit 3 appears in some position before the digit 0. - FALSE (12034 , 12043 , 24013 , 24031 , 24103 )

The digit 4 appears in some position before the digit 3.  FALSE ( 12034 , 12304)

The digit 2 appears in some position before the digit 3. is only true statement