How many number between 1000 and 5000 are exactly divisible by 225 ? Options: A . &nbsp16 B . &nbsp18 C . &nbsp19 D . &nbsp12

How many number between 1000 and 5000 are exactly divisible by 225 ?

Question

How many number between 1000 and 5000 are exactly divisible by 225 ?

Options:

A . 16

B . 18

C . 19

D . 12

Answer: Option B
$$\eqalign{
& {\text{First number = 1125}} \cr
& {\text{Last number = 4950}} \cr
& {\text{Number of term }} \cr
& {\text{ = }}\frac{{4950 - 1125}}{{225}} + 1 \cr
& = \frac{{3825}}{{225}} + 1 \cr
& = 17 + 1 \cr
& = 18 \cr} $$

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