Question

If 2 is added to each odd digit and 1 is subtracted from each even digit in the number 62478324, then what will be the difference between the highest and the lowest digits in the number thus formed?

• A. 8
• B. 6
• C. 2
• D. 4

Answer 1

Answer:

A. 8

The difference between the highest and the lowest digits in the newly formed number is 8.

1. Analyze the original number: 62478324

2. Apply the operations:

   • Subtract 1 from even digits (6, 2, 4, 8, 2, 4)

   • Add 2 to odd digits (7, 3)

Original Digit	Type	Operation	New Digit
6	Even	$6 - 1$	5
2	Even	$2 - 1$	1
4	Even	$4 - 1$	3
7	Odd	$7 + 2$	9
8	Even	$8 - 1$	7
3	Odd	$3 + 2$	5
2	Even	$2 - 1$	1
4	Even	$4 - 1$	3

1. Form the new number: 51397513

2. Find the extremes:

   • Highest digit: 9

   • Lowest digit: 1

3. Calculate the final difference: $9 - 1 =$ 8