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A four-digits number abba is divisible by 4 and a < b. How many such numbers are there?
Question

A four-digits number abba is divisible by 4 and a < b.
How many such numbers are there?

A.

12 

B.

10

C.

8

D.

6

Correct option is C

Given:
The number abba is divisible by 4 and a < b
Formula Used::
A number is divisible by 4 if the last two digits of the number are divisible by 4.
Solution:
Possible values of b & a.

∴ 8 such numbers are possible.
Note:- a cannot be 0 because then abba will not be 4 digit no.
Alternate Method:
For a number to be divisible by ‘Q’ the last two digits must be divisible by 4. (Here ‘ba’).

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