Number System Ques 35
Question
Now many six digit numbers divisible by 4 can be formed from the digits 1, 2, 3, 4, 5 and 6. If repetition of digits is allowed?
(1) 10368
(2) 11234
(3) 10246
(4) 12232
(5) 10256
(IBPS RRBs Officer CWE Prelim
Exam, 07.08.2021)
Show Answer
Answer: (1)
Solution: (1)
The divisibility of 4 depends on only the last two digit number and the first four digits can be any possibilities.
The first four places can be filled in $6 \times 6 \times 6 \times 6=1296$ ways
For the last two digits Possibility of two number combinations $=$ $12,16,24,32,36,52,56$ and 64 i.e. 8
So, total number of ways $=1296 \times 8=10368$