১২ ও ৯৬ এর মধ্যে কয়টি সংখ্যা ৪ দ্বারা বিভাজ্য?

A ২১

B ২৩

C ২০

D ২২

Solution

Correct Answer: Option C

This can be done using the concept of A.P.
16, 20, 24 …………………,92

Here a=16(first term);
d=4 (common difference) ;
an=92 (last term=)

So, an=a +(n-1)d
=> 92=16+(n-1)4
=> 92–16=4n-4
=> 76+4=4n
=> 80=4n
=> n=80/4
n=20
There are 20 numbers between 12 and 96 which are divisible by 4.
16,20,24,28,32,36,40,44,48,52,56,60,64,68,72,76,80,84,88,92

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