Correct option is A
Given:
A six-digit number is represented as 11p9q4.
The number is divisible by 24.
Concept and Formula Used:
Divisibility by 24:
A number is divisible by 24 if it is divisible by both 8 and 3 (since 24=8×3).
Divisibility by 8: The last three digits of the number must be divisible by 8.
Divisibility by 3: The sum of all the digits of the number must be divisible by 3.
Solution:
As per the question;
If a number is divisible by 24, then it is also divisible by 8 and 3.
And if a number is divisible by 8, then its last 3 digits is also divisible by 8.
= 9q4 is divisible by 8.
Possible values of q = 0, 4, 8
If a number is divisible by 3, then sum of the no. is also divisible by 3.
(15 + p + q) is divisible by 3.
If we take q = 4, then p = 8, so pq = 32
And if we take q = 8 then p = 7, so pq = 56
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