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.

If the last digit of an acceptable product code if 1, it must be true that the:
A. first digit is 2
B. second digit is 0
C. third digit is 3
D. fourth digit is 4
E. fourth digit is 0

Answer 1

Answer:

A) first digit is 2

Step-by-step explanation:

Digits used : 0,1,2,3,4

Given that the fifth digit is 1, as third digit is less than fifth digit the third digit will be 0.

Remaining digits are : 2,3,4

Given that the second digit is twice than the first digit.

So 2 is the only first digit no. and 3,4 are not possible and therefore the second digit no. is 2 × 2 = 4.

Hence the required code is

2 4 0 3 1