Question

The number of 4 digit numbers formed using the digits $1,2,3,4,5,6,7$ which are divisible by 4 is

• A. $100$
• B. $150$
• C. $200$
• D. $250$

Answer 1

The correct option is C $200$

If number should be divisible by $4$, last two digits should be divisible
by $4$.

So the last two digits can be $12,16,24,32,36,52,56,64,72,76.$

No. of ways $=$ ${}^5{P}_2\times 10=200.$