Question

How many numbers between 200 and 600 are divisible by 14?

• A. 28
• B. 29
• C. 27
• D. None of these

Answer 1

The correct option is A 28

Using A.P
The number between 200 to 600 that are divisible by 14 are
$210,224,\mathrm{238...........588}$
$a_n=a+(n-1)d$
$a_n=588,a=210,d=14$
$588=210+(n-1)14$
$588=210+14n-14$
$14n=392$
$n=28$
Hence there are 28 numbers between 200 and 600 are divisible by 14.