Question

The number of even numbers with three digits such that if 3 is one of the digit then 5 is the next digit are

• A. 959
• B. 285
• C. 365
• D. 512

Answer 1

Answer: (C)

365

Number of 3 digit even numbers with no $3=8\times 9\times 5=360$

$8$ because 1st place can't be 0 and 3 is not included.

No of 3 digit even number with 3 and hence the constraints$=1\times 1\times 5=5$

note that 2nd and 3rd position can't be 3 since in that case the number can't be even and fulfilling constraint at the same time .

Therefore, the number of such numbers $=(360+5)=365$

Hence, option 'C' is correct.