Question

The number of numbers lying between 1024 and 23146 which are divisible by 55 and made from 2, 3, 4, 5, 6 without repetition, is____.

Answer 1

Correct answer is 6.00

We will solve this in two cases:

Case I:

When number has 4 digits (say abcd)

Here d is fixed as 5.

So, a,b,c can be

(6,4,3), (3,4,6), (2,3,6),(6,3,2), (3,2,4) or (4,2,3) only

Number of numbers possible = 6

Case II:

When number has 5 digits.

No such number is possible because even last number formed is greater than 23146.

Total number of such number = 6